BibTeX
preprints.bib
@unpublished{BBPS24-pre,
author = {Bartels, S{\"o}ren and B\"ohnlein, Klaus and Palus, Christian and Sander, Oliver},
title = {Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere},
year = {2024},
pdf = {preprints/BBPS24-pre.pdf}
}
@unpublished{BBKK24-pre,
author = {Antil, Harbir and Bartels, S{\"o}ren and Alex Kaltenbach and Rohit Khandelwal},
title = {Variational problems with gradient constraints: A priori and a posteriori error identities},
year = {2024},
pdf = {preprints/ABKK24-pre.pdf}
}
@unpublished{BaBuKe24-pre,
author = {Bartels, S\"{o}ren and Giuseppe Buttazzo and Keller, Hedwig},
title = {Optimization of an eigenvalue arising in optimal insulation with a lower bound},
year = {2024},
pdf = {preprints/BaBuKe24-pre.pdf}
}
@unpublished{BaGuKa24-pre,
author = {Bartels, S{\"o}ren and Gudi, Thirupathi and Kaltenbach, Alex},
title = {A priori and a posteriori error identities for the scalar Signorini problem},
year = {2024},
pdf = {preprints/BaGuKa24-pre.pdf}
}
@unpublished{BarKal24-pre,
author = {Bartels, S{\"o}ren and Alex Kaltenbach},
title = {Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction},
year = {2024},
pdf = {preprints/BarKal24-pre.pdf}
}
@unpublished{BarTsc24-pre,
author = {Bartels, S{\"o}ren and Tscherner, Philipp},
title = {Necessary and sufficient conditions for avoiding {B}abuska's paradox on simplicial meshes},
year = {2024},
pdf = {preprints/BarTsc24-pre.pdf}
}
@unpublished{BaKeWa23-pre,
author = {Bartels, S\"{o}ren and Keller, Hedwig and Wachsmuth, Gerd},
title = {Numerical approximation of optimal convex shapes in ${R}^3$},
pdf = {preprints/BaKeWa23-pre.pdf}
}
@unpublished{AkBaPa23-pre,
author = {Akrivis, Georgios and Bartels, S{\"o}ren and Palus, Christian},
title = {Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries},
year = {2023},
pdf = {preprints/AkBaPa24r-pre.pdf}
}
@unpublished{BarKal23b-pre,
author = {Bartels, S{\"o}ren and Alex Kaltenbach},
title = {Explicit a posteriori error representation for variational problems and application to TV-minimization},
year = {2023},
pdf = {preprints/BarKal23b-pre.pdf}
}
@unpublished{BarKal23-pre,
author = {Bartels, S{\"o}ren and Alex Kaltenbach},
title = {Error analysis for a {C}rouzeix-{R}aviart approximation of the obstacle problem},
year = {2023},
pdf = {preprints/BarKal23-pre.pdf}
}
@unpublished{BaPaWa22-pre,
author = {Bartels, S{\"o}ren and Palus, Christian and Zhangxian Wang},
title = {Quasi-optimal error estimates for the approximation of stable harmonic maps},
year = {2022},
pdf = {preprints/BaPaWa22-pre.pdf}
}
@unpublished{BaKoWa22-pre,
author = {Bartels, S{\"o}ren and Bal\'{a}zs Kov\'{a}cs and Zhangxian Wang},
title = {Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints},
year = {2022},
pdf = {preprints/BaKoWa22-pre.pdf}
}
@unpublished{BGKN22-pre,
author = {Bartels, S{\"o}ren and Max Griehl and Jakob Keck and Stefan Neukamm},
title = {Modeling and simulation of nematic {LCE} rods},
year = {2022},
pdf = {preprints/BGKN22-pre.pdf}
}
@unpublished{BaBoTs22-pre,
author = {Bartels, S{\"o}ren and Bonito, Andrea and Tscherner, Philipp},
title = {Error estimates for a linear folding model},
year = {2022},
pdf = {preprints/BaBoTs22-pre.pdf}
}
@unpublished{BarKal22b-pre,
author = {Bartels, S{\"o}ren and Kaltenbach, Alex},
title = {Explicit and efficient error estimation for convex minimization problems},
year = {2022},
pdf = {preprints/BarKal22b-pre.pdf}
}
@unpublished{BarWey22-pre,
author = {Bartels, S{\"o}ren and Weyer, Pascal},
title = {Computing confined elasticae},
year = {2022},
pdf = {preprints/BarWey22-pre.pdf},
note = {Adv. Cont. Discr. Models (published online)},
url = {https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-022-03731-7}
}
@unpublished{BGNPgP22-pre,
author = {Bartels, S{\"o}ren and Max Griehl and Stefan Neukamm and David Padilla-Garza and Christian Palus},
title = {A nonlinear bending theory for nematic {LCE} plates},
year = {2022},
pdf = {preprints/BGNPgP22-pre.pdf}
}
@unpublished{BarKal22-pre,
author = {Bartels, S{\"o}ren and Kaltenbach, Alex},
title = {Error estimates for total-variation regularized minimization problems with singular dual solutions},
year = {2022},
pdf = {preprints/BarKal22-pre.pdf},
note = {Numer. Math. (published online)},
url = {https://link.springer.com/article/10.1007/s00211-022-01324-w}
}
@unpublished{BaBoHo21-pre,
author = {Bartels, S{\"o}ren and Bonito, Andrea and Hornung, Peter},
title = {Modeling and simulation of thin sheet folding},
year = {2021},
note = {Interfaces Free Bound. (published online)},
url = {https://ems.press/journals/ifb/articles/6224457},
pdf = {preprints/BaBoHo21-pre-v2.pdf}
}
@unpublished{AnBaSc21-pre,
author = {Antil, Harbir and Bartels, S{\"o}ren and Schikorra, Armin},
title = {Approximation of fractional harmonic maps},
year = {2021},
note = {IMAJNA (published online)},
url = {https://doi.org/10.1093/imanum/drac029},
pdf = {preprints/AnBaSc21-pre.pdf}
}
@unpublished{BarWeb20-pre,
author = {Bartels, S{\"o}ren and Nico Weber},
title = {Parameter learning and fractional differential operators: application
in imaging and decomposition},
year = {2020},
note = {AIMS (published online)},
url = {http://dx.doi.org/10.3934/mcrf.2021048},
pdf = {preprints/BarWeb20-pre.pdf}
}
articles.bib
@article{BaToWa22,
author = {Bartels, S\"{o}ren and Tovey, Robert and Wassmer, Friedrich},
title = {Singular solutions, graded meshes,and adaptivity for
total-variation regularized minimization problems},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {56},
year = {2022},
number = {6},
pages = {1871--1888},
issn = {2822-7840},
mrclass = {49M29 (49J10 49N15 65N15 65N50)},
mrnumber = {4467102},
doi = {10.1051/m2an/2022056},
url = {https://doi.org/10.1051/m2an/2022056},
pdf = {preprints/BaToWa21-pre.pdf}
}
@article{BarPal22,
author = {Bartels, S\"{o}ren and Palus, Christian},
title = {Stable gradient flow discretizations for simulating bilayer
plate bending with isometry and obstacle constraints},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {42},
year = {2022},
number = {3},
pages = {1903--1928},
issn = {0272-4979},
mrclass = {65N30 (65N12)},
mrnumber = {4454912},
doi = {10.1093/imanum/drab050},
url = {https://doi.org/10.1093/imanum/drab050},
pdf = {preprints/BarPal20a-pre.pdf}
}
@article{BaKeWa22,
author = {Bartels, S\"{o}ren and Keller, Hedwig and Wachsmuth, Gerd},
title = {Numerical approximation of optimal convex and rotationally
symmetric shapes for an eigenvalue problem arising in optimal
insulation},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An International
Journal},
volume = {119},
year = {2022},
pages = {327--339},
issn = {0898-1221},
mrclass = {49Q10 (35Q93 49M41 49R05 65N30)},
mrnumber = {4449545},
doi = {10.1016/j.camwa.2022.05.026},
url = {https://doi.org/10.1016/j.camwa.2022.05.026},
pdf = {preprints/BaKeWa21-pre.pdf}
}
@article{BaMePa22,
author = {Bartels, S\"{o}ren and Meyer, Frank and Palus, Christian},
title = {Simulating self-avoiding isometric plate bending},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {44},
year = {2022},
number = {3},
pages = {A1475--A1496},
issn = {1064-8275},
mrclass = {65N30 (74K20)},
mrnumber = {4438043},
mrreviewer = {Wei Jiang},
doi = {10.1137/21M1440001},
url = {https://doi.org/10.1137/21M1440001},
pdf = {preprints/BaMePa21-pre.pdf}
}
@incollection{BMTTW22,
author = {Bartels, S\"{o}ren and Milicevic, Marijo and Thomas, Marita and
Tornquist, Sven and Weber, Nico},
title = {Approximation schemes for materials with discontinuities},
booktitle = {Non-standard discretisation methods in solid mechanics},
series = {Lect. Notes Appl. Comput. Mech.},
volume = {98},
pages = {505--565},
publisher = {Springer, Cham},
year = {[2022] \copyright 2022},
mrclass = {74R10 (65N15 74S05)},
mrnumber = {4433574},
doi = {10.1007/978-3-030-92672-4\_17},
url = {https://doi.org/10.1007/978-3-030-92672-4_17},
pdf = {preprints/BMTTW20-pre.pdf}
}
@incollection{BarHer22,
author = {Bartels, S\"{o}ren and Hertzog, Stephan},
title = {Error bounds for discretized optimal transport and its
reliable efficient numerical solution},
booktitle = {Non-smooth and complementarity-based distributed parameter
systems---simulation and hierarchical optimization},
series = {Internat. Ser. Numer. Math.},
volume = {172},
pages = {1--20},
publisher = {Birkh\"{a}user/Springer, Cham},
year = {2022},
mrclass = {49Q22 (49M25 65K10)},
mrnumber = {4401078},
mrreviewer = {Marcello Carioni},
pdf = {preprints/BarHer17-pre.pdf}
}
@article{Bart21c,
author = {Bartels, S\"{o}ren},
title = {Error estimates for a class of discontinuous {G}alerkin
methods for nonsmooth problems via convex duality relations},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {90},
year = {2021},
number = {332},
pages = {2579--2602},
issn = {0025-5718},
mrclass = {65N30 (65N12 65N15)},
mrnumber = {4305362},
mrreviewer = {Chang-Ock Lee},
doi = {10.1090/mcom/3656},
url = {https://doi.org/10.1090/mcom/3656},
pdf = {preprints/Bart20b-pre.pdf}
}
@article{Bart21b,
author = {Bartels, S\"{o}ren},
title = {Simulation of constrained elastic curves and application to a
conical sheet indentation problem},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {41},
year = {2021},
number = {3},
pages = {2255--2279},
issn = {0272-4979},
mrclass = {65N30 (35Q74 65N12 74K10)},
mrnumber = {4286260},
doi = {10.1093/imanum/drab008},
url = {https://doi.org/10.1093/imanum/drab008},
pdf = {preprints/Bart20c-pre.pdf}
}
@article{BarRei21,
author = {Bartels, S\"{o}ren and Reiter, Philipp},
title = {Stability of a simple scheme for the approximation of elastic
knots and self-avoiding inextensible curves},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {90},
year = {2021},
number = {330},
pages = {1499--1526},
issn = {0025-5718},
mrclass = {65N30 (53A04 65N12)},
mrnumber = {4273107},
doi = {10.1090/mcom/3633},
url = {https://doi.org/10.1090/mcom/3633},
pdf = {preprints/BarRei18-pre.pdf}
}
@article{BarWan21,
author = {Bartels, S\"{o}ren and Wang, Zhangxian},
title = {Orthogonality relations of {C}rouzeix-{R}aviart and
{R}aviart-{T}homas finite element spaces},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {148},
year = {2021},
number = {1},
pages = {127--139},
issn = {0029-599X},
mrclass = {65N30 (46N10 65N12)},
mrnumber = {4265901},
doi = {10.1007/s00211-021-01199-3},
url = {https://doi.org/10.1007/s00211-021-01199-3},
pdf = {preprints/BarWan20-pre.pdf}
}
@article{Bart21a,
author = {Bartels, S\"{o}ren},
title = {Nonconforming discretizations of convex minimization problems
and precise relations to mixed methods},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An International
Journal},
volume = {93},
year = {2021},
pages = {214--229},
issn = {0898-1221},
mrclass = {65N30 (49M25 65K05 65N15 90C25)},
mrnumber = {4253261},
doi = {10.1016/j.camwa.2021.04.014},
url = {https://doi.org/10.1016/j.camwa.2021.04.014},
pdf = {preprints/Bart20a-pre.pdf}
}
@article{BarKec21,
author = {Bartels, S\"{o}ren and Keck, Jakob},
title = {Adaptive time stepping in elastoplasticity},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {14},
year = {2021},
number = {1},
pages = {71--88},
issn = {1937-1632},
mrclass = {65M60 (65M50 74C05)},
mrnumber = {4186204},
doi = {10.3934/dcdss.2020323},
url = {https://doi.org/10.3934/dcdss.2020323},
pdf = {articles-pre/BarKec19-pre.pdf}
}
@incollection{Bart20b,
author = {Bartels, S\"{o}ren},
title = {Finite element simulation of nonlinear bending models for thin
elastic rods and plates},
booktitle = {Geometric partial differential equations. {P}art {I}},
series = {Handb. Numer. Anal.},
volume = {21},
pages = {221--273},
publisher = {Elsevier/North-Holland, Amsterdam},
year = {[2020] \copyright 2020},
mrclass = {74S05 (65N30 74K10 74K20)},
mrnumber = {4378428},
pdf = {preprints/Bart19a-pre.pdf}
}
@article{BarRei20,
author = {Bartels, S\"{o}ren and Reiter, Philipp},
title = {Numerical solution of a bending-torsion model for elastic
rods},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {146},
year = {2020},
number = {4},
pages = {661--697},
issn = {0029-599X},
mrclass = {65N30 (65N12 65N15 74K10)},
mrnumber = {4182084},
doi = {10.1007/s00211-020-01156-6},
url = {https://doi.org/10.1007/s00211-020-01156-6},
pdf = {articles-pre/BarRei19-pre.pdf}
}
@article{Bart20a,
author = {Bartels, S\"{o}ren},
title = {Numerical simulation of inextensible elastic ribbons},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {58},
year = {2020},
number = {6},
pages = {3332--3354},
issn = {0036-1429},
mrclass = {65M60 (65M12 74B20 74K20)},
mrnumber = {4175400},
mrreviewer = {Dietrich Braess},
doi = {10.1137/20M1357494},
url = {https://doi.org/10.1137/20M1357494},
pdf = {articles-pre/Bart19b-pre.pdf}
}
@article{BarMil20a,
author = {Bartels, S\"{o}ren and Milicevic, Marijo},
title = {Primal-dual gap estimators for {\it a posteriori} error
analysis of nonsmooth minimization problems},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {54},
year = {2020},
number = {5},
pages = {1635--1660},
issn = {0764-583X},
mrclass = {49M29 (49J10 65K15 65N15 65N50 90C25 90C48)},
mrnumber = {4127951},
doi = {10.1051/m2an/2019074},
url = {https://doi.org/10.1051/m2an/2019074},
pdf = {articles-pre/BarMil19-pre.pdf}
}
@article{BarMil20b,
author = {Bartels, S\"{o}ren and Milicevic, Marijo},
title = {Efficient iterative solution of finite element discretized
nonsmooth minimization problems},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An International
Journal},
volume = {80},
year = {2020},
number = {5},
pages = {588--603},
issn = {0898-1221},
mrclass = {65N22 (49M37 65N30 90C25 90C48)},
mrnumber = {4103792},
doi = {10.1016/j.camwa.2020.04.026},
url = {https://doi.org/10.1016/j.camwa.2020.04.026},
pdf = {articles-pre/BarMil17-pre.pdf}
}
@article{BarWac20,
author = {Bartels, S\"{o}ren and Wachsmuth, Gerd},
title = {Numerical approximation of optimal convex shapes},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {42},
year = {2020},
number = {2},
pages = {A1226--A1244},
issn = {1064-8275},
mrclass = {49Q10 (49M41 65N30)},
mrnumber = {4089508},
mrreviewer = {Mihail Voicu},
doi = {10.1137/19M1256853},
url = {https://doi.org/10.1137/19M1256853},
pdf = {articles-pre/BarWac18-pre.pdf}
}
@article{BarRuz20,
author = {Bartels, S\"{o}ren and R\ocirc{u}\v{z}i\v{c}ka, Michael},
title = {Convergence of fully discrete implicit and semi-implicit
approximations of singular parabolic equations},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {58},
year = {2020},
number = {1},
pages = {811--833},
issn = {0036-1429},
mrclass = {65M60 (35K67 35K92 65M12)},
mrnumber = {4068330},
mrreviewer = {Dami\'{a}n P. Ginestar},
doi = {10.1137/19M126551X},
url = {https://doi.org/10.1137/19M126551X},
pdf = {articles-pre/BarRuz19-pre.pdf}
}
@article{BarBut19,
author = {Bartels, S\"{o}ren and Buttazzo, Giuseppe},
title = {Numerical solution of a nonlinear eigenvalue problem arising
in optimal insulation},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Analysis,
Computation and Applications},
volume = {21},
year = {2019},
number = {1},
pages = {1--19},
issn = {1463-9963},
mrclass = {65N25 (35J20 49R05 65N30 74K35)},
mrnumber = {3951575},
doi = {10.4171/IFB/414},
url = {https://doi.org/10.4171/IFB/414},
pdf = {articles-pre/BarBut17-pre.pdf}
}
@article{BaDiNo18,
author = {Bartels, S\"{o}ren and Diening, Lars and Nochetto, Ricardo H.},
title = {Unconditional stability of semi-implicit discretizations of
singular flows},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {56},
year = {2018},
number = {3},
pages = {1896--1914},
issn = {0036-1429},
mrclass = {65M60 (35J20 35K92 65M12 65M15)},
mrnumber = {3819161},
doi = {10.1137/17M1159166},
url = {https://doi.org/10.1137/17M1159166},
pdf = {articles-pre/BaDiNo17-pre.pdf}
}
@article{BaReRi18,
author = {Bartels, S\"{o}ren and Reiter, Philipp and Riege, Johannes},
title = {A simple scheme for the approximation of self-avoiding
inextensible curves},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {38},
year = {2018},
number = {2},
pages = {543--565},
issn = {0272-4979},
mrclass = {65N30 (74G65)},
mrnumber = {3800032},
doi = {10.1093/imanum/drx021},
url = {https://doi.org/10.1093/imanum/drx021},
pdf = {articles-pre/BaReRi16-pre.pdf}
}
@incollection{BaMiTh18,
author = {Bartels, S\"{o}ren and Milicevic, Marijo and Thomas, Marita},
title = {Numerical approach to a model for quasistatic damage with
spatial {$BV$}-regularization},
booktitle = {Trends in applications of mathematics to mechanics},
series = {Springer INdAM Ser.},
volume = {27},
pages = {179--203},
publisher = {Springer, Cham},
year = {2018},
mrclass = {74A45 (65K10 74B05)},
mrnumber = {3790957},
pdf = {articles-pre/BaMiTh17-pre.pdf}
}
@article{BBMN18,
author = {Bartels, S\"{o}ren and Bonito, Andrea and Muliana, Anastasia H.
and Nochetto, Ricardo H.},
title = {Modeling and simulation of thermally actuated bilayer plates},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {354},
year = {2018},
pages = {512--528},
issn = {0021-9991},
mrclass = {74K20 (74G50)},
mrnumber = {3738120},
mrreviewer = {Isabelle Gruais},
doi = {10.1016/j.jcp.2017.10.044},
url = {https://doi.org/10.1016/j.jcp.2017.10.044},
pdf = {articles-pre/BBMN17-pre.pdf}
}
@article{BarSch17,
author = {Bartels, S\"{o}ren and Sch\"{o}n, Patrick},
title = {Adaptive approximation of the {M}onge-{K}antorovich problem
{\it via} primal-dual gap estimates},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {51},
year = {2017},
number = {6},
pages = {2237--2261},
issn = {0764-583X},
mrclass = {49Q20 (65K10 65N30 65N50)},
mrnumber = {3745171},
doi = {10.1051/m2an/2017054},
url = {https://doi.org/10.1051/m2an/2017054},
pdf = {articles-pre/BarSch16-pre.pdf}
}
@article{AntBar17,
author = {Antil, Harbir and Bartels, S\"{o}ren},
title = {Spectral approximation of fractional {PDE}s in image
processing and phase field modeling},
journal = {Comput. Methods Appl. Math.},
fjournal = {Computational Methods in Applied Mathematics},
volume = {17},
year = {2017},
number = {4},
pages = {661--678},
issn = {1609-4840},
mrclass = {65N35 (26A33 35R11 35S05 49K20 49M05 65N12)},
mrnumber = {3709055},
doi = {10.1515/cmam-2017-0039},
url = {https://doi.org/10.1515/cmam-2017-0039},
pdf = {articles-pre/AntBar17-pre.pdf}
}
@article{BarMil17,
author = {Bartels, S\"{o}ren and Milicevic, Marijo},
title = {Iterative finite element solution of a constrained total
variation regularized model problem},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {10},
year = {2017},
number = {6},
pages = {1207--1232},
issn = {1937-1632},
mrclass = {94A08 (49M27 65K15 65N30)},
mrnumber = {3666689},
mrreviewer = {Gerd Wachsmuth},
doi = {10.3934/dcdss.2017066},
url = {https://doi.org/10.3934/dcdss.2017066},
pdf = {articles-pre/BarMil16-pre.pdf}
}
@article{Bart17,
author = {Bartels, S\"{o}ren},
title = {Numerical solution of a {F}\"{o}ppl--von {K}\'{a}rm\'{a}n model},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {55},
year = {2017},
number = {3},
pages = {1505--1524},
issn = {0036-1429},
mrclass = {65N30 (65N12 74K20)},
mrnumber = {3666310},
mrreviewer = {S\'{e}bastien Court},
doi = {10.1137/16M1069791},
url = {https://doi.org/10.1137/16M1069791},
pdf = {articles-pre/Bart16-pre.pdf}
}
@article{BaBoNo17,
author = {Bartels, S\"oren and Bonito, Andrea and Nochetto, Ricardo H.},
title = {Bilayer plates: model reduction, {$\Gamma$}-convergent finite
element approximation, and discrete gradient flow},
journal = {Comm. Pure Appl. Math.},
fjournal = {Communications on Pure and Applied Mathematics},
volume = {70},
year = {2017},
number = {3},
pages = {547--589},
issn = {0010-3640},
mrclass = {74K20 (65N30 74A05)},
mrnumber = {3602530},
doi = {10.1002/cpa.21626},
url = {http://dx.doi.org/10.1002/cpa.21626},
pdf = {articles-pre/BaBoNo16-pre.pdf}
}
@article{Bart16c,
author = {Bartels, S\"oren},
title = {A simple scheme for the approximation of elastic vibrations of
inextensible curves},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {36},
year = {2016},
number = {3},
pages = {1051--1071},
issn = {0272-4979},
mrclass = {65M60 (65M12 74K05)},
mrnumber = {3523575},
mrreviewer = {Tom\~A!`\AA !` Ligursk\~A${}^1\!/\!_2$},
doi = {10.1093/imanum/drv054},
url = {http://dx.doi.org/10.1093/imanum/drv054},
pdf = {articles-pre/Bart16c-pre.pdf}
}
@article{BarMil16,
author = {Bartels, S\"oren and Milicevic, Marijo},
title = {Stability and experimental comparison of prototypical
iterative schemes for total variation regularized problems},
journal = {Comput. Methods Appl. Math.},
fjournal = {Computational Methods in Applied Mathematics},
volume = {16},
year = {2016},
number = {3},
pages = {361--388},
issn = {1609-4840},
mrclass = {65K10 (49M29)},
mrnumber = {3518359},
mrreviewer = {Gerd Wachsmuth},
doi = {10.1515/cmam-2016-0014},
url = {http://dx.doi.org/10.1515/cmam-2016-0014},
pdf = {articles-pre/BarMil16-pre.pdf}
}
@article{Bart16b,
author = {Bartels, S{\"o}ren},
title = {Broken {S}obolev space iteration for total variation
regularized minimization problems},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {36},
year = {2016},
number = {2},
pages = {493--502},
issn = {0272-4979},
mrclass = {94A08 (49J10 49M29 65K10 65N30)},
mrnumber = {3483094},
doi = {10.1093/imanum/drv023},
url = {http://dx.doi.org/10.1093/imanum/drv023},
pdf = {articles-pre/Bart16b-pre.pdf}
}
@article{Bart16a,
author = {Bartels, S{\"o}ren},
title = {Projection-free approximation of geometrically constrained
partial differential equations},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {85},
year = {2016},
number = {299},
pages = {1033--1049},
issn = {0025-5718},
mrclass = {65J05 (65M12 65M60 65N12 65N30)},
mrnumber = {3454357},
doi = {10.1090/mcom/3008},
url = {http://dx.doi.org/10.1090/mcom/3008},
pdf = {articles-pre/Bart16a-pre.pdf}
}
@article{BaNoSa15,
author = {Bartels, S{\"o}ren and Nochetto, Ricardo H. and Salgado, Abner
J.},
title = {A total variation diminishing interpolation operator and
applications},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {84},
year = {2015},
number = {296},
pages = {2569--2587},
issn = {0025-5718},
mrclass = {65N30 (41A05 49J40 49M25 65D05 65N15)},
mrnumber = {3378839},
mrreviewer = {Christian Wieners},
doi = {10.1090/mcom/2942},
url = {http://dx.doi.org/10.1090/mcom/2942},
pdf = {articles-pre/BaNoSa15-pre.pdf}
}
@article{Bart15c,
author = {Bartels, S{\"o}ren},
title = {Fast and accurate finite element approximation of wave maps
into spheres},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {49},
year = {2015},
number = {2},
pages = {551--558},
issn = {0764-583X},
mrclass = {65M60 (65M12)},
mrnumber = {3342217},
mrreviewer = {Srinivasan Kesavan},
doi = {10.1051/m2an/2014044},
url = {http://dx.doi.org/10.1051/m2an/2014044},
pdf = {articles-pre/Bart15c-pre.pdf}
}
@article{Bart15b,
author = {Bartels, S{\"o}ren},
title = {Robustness of error estimates for phase field models at a
class of topological changes},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
volume = {288},
year = {2015},
pages = {75--82},
issn = {0045-7825},
mrclass = {35B25 (35K91 74A50 80A22)},
mrnumber = {3327018},
doi = {10.1016/j.cma.2014.11.005},
url = {http://dx.doi.org/10.1016/j.cma.2014.11.005},
pdf = {articles-pre/Bart15b-pre.pdf}
}
@article{BarHor15,
author = {Bartels, S{\"o}ren and Hornung, Peter},
title = {Bending paper and the {M}\"obius strip},
journal = {J. Elasticity},
fjournal = {Journal of Elasticity. The Physical and Mathematical Science
of Solids},
volume = {119},
year = {2015},
number = {1-2},
pages = {113--136},
issn = {0374-3535},
mrclass = {74K20 (49Q10 65N30 74B20)},
mrnumber = {3326187},
mrreviewer = {Peter I. Kogut},
doi = {10.1007/s10659-014-9501-6},
url = {http://dx.doi.org/10.1007/s10659-014-9501-6},
pdf = {articles-pre/BarHor15-MISSING.txt}
}
@article{Bart15a,
author = {Bartels, S{\"o}ren},
title = {Error control and adaptivity for a variational model problem
defined on functions of bounded variation},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {84},
year = {2015},
number = {293},
pages = {1217--1240},
issn = {0025-5718},
mrclass = {65N30 (65N15 65N50)},
mrnumber = {3315506},
doi = {10.1090/S0025-5718-2014-02893-7},
url = {http://dx.doi.org/10.1090/S0025-5718-2014-02893-7},
pdf = {articles-pre/Bart15a-pre.pdf}
}
@incollection{BaBeBr14,
author = {Bartels, S{\"o}ren and Bebendorf, Mario and Bratsch, Michael},
title = {A fast and accurate numerical method for the computation of
unstable micromagnetic configurations},
booktitle = {Singular phenomena and scaling in mathematical models},
pages = {413--434},
publisher = {Springer, Cham},
year = {2014},
mrclass = {65N30 (35Q60)},
mrnumber = {3205051},
doi = {10.1007/978-3-319-00786-1_18},
url = {http://dx.doi.org/10.1007/978-3-319-00786-1_18},
pdf = {articles-pre/BaBeBr14-pre.pdf}
}
@incollection{BarRai14,
author = {Bartels, S{\"o}ren and Raisch, Alexander},
title = {Simulation of {$Q$}-tensor fields with constant orientational
order parameter in the theory of uniaxial nematic liquid
crystals},
booktitle = {Singular phenomena and scaling in mathematical models},
pages = {383--412},
publisher = {Springer, Cham},
year = {2014},
mrclass = {65N30 (76A15)},
mrnumber = {3205050},
mrreviewer = {Lucas J{\'o}dar},
doi = {10.1007/978-3-319-00786-1_17},
url = {http://dx.doi.org/10.1007/978-3-319-00786-1_17},
pdf = {articles-pre/BarRai14-pre.pdf}
}
@article{Bart14,
author = {Bartels, S{\"o}ren},
title = {Quasi-optimal error estimates for implicit discretizations of
rate-independent evolutions},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {52},
year = {2014},
number = {2},
pages = {708--716},
issn = {0036-1429},
mrclass = {65M60 (65K15 65M15 74C05 74S05)},
mrnumber = {3180858},
mrreviewer = {Wojciech Mydlarczyk},
doi = {10.1137/130933964},
url = {http://dx.doi.org/10.1137/130933964},
pdf = {articles-pre/Bart14-pre.pdf}
}
@article{BaNoSa14,
author = {Bartels, S{\"o}ren and Nochetto, Ricardo H. and Salgado, Abner
J.},
title = {Discrete total variation flows without regularization},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {52},
year = {2014},
number = {1},
pages = {363--385},
issn = {0036-1429},
mrclass = {65M60 (35K59 35K61 65K15)},
mrnumber = {3163248},
mrreviewer = {Weimin Han},
doi = {10.1137/120901544},
url = {http://dx.doi.org/10.1137/120901544},
pdf = {articles-pre/BaNoSa14-pre.pdf}
}
@article{Bart13c,
author = {Bartels, S{\"o}ren},
title = {A simple scheme for the approximation of the elastic flow of
inextensible curves},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {33},
year = {2013},
number = {4},
pages = {1115--1125},
issn = {0272-4979},
mrclass = {65M06 (65D18)},
mrnumber = {3119710},
mrreviewer = {Ranjan Kumar Mohanty},
doi = {10.1093/imanum/drs041},
url = {http://dx.doi.org/10.1093/imanum/drs041},
pdf = {articles-pre/Bart13c-pre.pdf}
}
@article{BarRou13,
author = {Bartels, S{\"o}ren and Roub{\'{\i}}{\v{c}}ek, Tom{\'a}{\v{s}}},
title = {Numerical approaches to thermally coupled perfect plasticity},
journal = {Numer. Methods Partial Differential Equations},
fjournal = {Numerical Methods for Partial Differential Equations. An
International Journal},
volume = {29},
year = {2013},
number = {6},
pages = {1837--1863},
issn = {0749-159X},
mrclass = {65M60 (65M12 74C05 80A10)},
mrnumber = {3116548},
mrreviewer = {Winnifried Wollner},
pdf = {articles-pre/BarRou13-pre.pdf}
}
@article{Bart13b,
author = {Bartels, S{\"o}ren},
title = {Finite element approximation of large bending isometries},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {124},
year = {2013},
number = {3},
pages = {415--440},
issn = {0029-599X},
mrclass = {65N30 (74K20 74S05)},
mrnumber = {3066035},
mrreviewer = {Igor Bock},
doi = {10.1007/s00211-013-0519-7},
url = {http://dx.doi.org/10.1007/s00211-013-0519-7},
pdf = {articles-pre/Bart13b-pre.pdf}
}
@article{Bart13a,
author = {Bartels, S{\"o}ren},
title = {Approximation of large bending isometries with discrete
{K}irchhoff triangles},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {51},
year = {2013},
number = {1},
pages = {516--525},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65N30 (74S05)},
mrnumber = {3033021},
mrreviewer = {Josef Dan{\v{e}}k},
doi = {10.1137/110855405},
url = {http://dx.doi.org/10.1137/110855405},
pdf = {articles-pre/Bart13a-pre.pdf}
}
@article{Bart12,
author = {Bartels, S{\"o}ren},
title = {Total variation minimization with finite elements: convergence
and iterative solution},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {50},
year = {2012},
number = {3},
pages = {1162--1180},
issn = {0036-1429},
mrclass = {65K10 (35A15 68U10 94A08)},
mrnumber = {2970738},
mrreviewer = {H. P. Dikshit},
doi = {10.1137/11083277X},
url = {http://dx.doi.org/10.1137/11083277X},
pdf = {articles-pre/Bart12.pdf}
}
@article{BarSch12,
author = {Bartels, S{\"o}ren and Schreier, Patrick},
title = {Local coarsening of simplicial finite element meshes generated
by bisections},
journal = {BIT},
fjournal = {BIT. Numerical Mathematics},
volume = {52},
year = {2012},
number = {3},
pages = {559--569},
issn = {0006-3835},
mrclass = {65M50 (65N50)},
mrnumber = {2965291},
mrreviewer = {Jeffrey S. Ovall},
doi = {10.1007/s10543-012-0378-0},
url = {http://dx.doi.org/10.1007/s10543-012-0378-0},
pdf = {articles-pre/BarSch12-pre.pdf}
}
@article{BDNR12,
author = {Bartels, S{\"o}ren and Dolzmann, Georg and Nochetto, Ricardo
H. and Raisch, Alexander},
title = {Finite element methods for director fields on flexible
surfaces},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Modelling,
Analysis and Computation},
volume = {14},
year = {2012},
number = {2},
pages = {231--272},
issn = {1463-9963},
mrclass = {35K55 (74K15 74S05)},
mrnumber = {2956326},
doi = {10.4171/IFB/281},
url = {http://dx.doi.org/10.4171/IFB/281},
pdf = {articles-pre/BDNR12-pre.pdf}
}
@article{BaMiRo12,
author = {Bartels, S{\"o}ren and Mielke, Alexander and
Roub{\'{\i}}{\v{c}}ek, Tom{\'a}{\v{s}}},
title = {Quasi-static small-strain plasticity in the limit of vanishing
hardening and its numerical approximation},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {50},
year = {2012},
number = {2},
pages = {951--976},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {74C05 (35K65 35K85 65M60 74S05)},
mrnumber = {2914293},
mrreviewer = {Sergiy Nesenenko},
doi = {10.1137/100819205},
url = {http://dx.doi.org/10.1137/100819205},
pdf = {articles-pre/BaMiRo12-pre.pdf}
}
@article{BarKru11,
author = {Bartels, S{\"o}ren and Kru{\v{z}}{\'{\i}}k, Martin},
title = {An efficient approach to the numerical solution of
rate-independent problems with nonconvex energies},
journal = {Multiscale Model. Simul.},
fjournal = {Multiscale Modeling \& Simulation. A SIAM Interdisciplinary
Journal},
volume = {9},
year = {2011},
number = {3},
pages = {1276--1300},
issn = {1540-3459},
coden = {MMSUBT},
mrclass = {49J45 (49M30 49Q20)},
mrnumber = {2846933},
mrreviewer = {Pablo Pedregal},
doi = {10.1137/110821718},
url = {http://dx.doi.org/10.1137/110821718},
pdf = {articles-pre/BarKru11-pre.pdf}
}
@article{BarMul11b,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
title = {Error control for the approximation of {A}llen-{C}ahn and
{C}ahn-{H}illiard equations with a logarithmic potential},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {119},
year = {2011},
number = {3},
pages = {409--435},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65M60 (35K20 35K58 65M15)},
mrnumber = {2845623},
mrreviewer = {Srinivasan Kesavan},
doi = {10.1007/s00211-011-0389-9},
url = {http://dx.doi.org/10.1007/s00211-011-0389-9},
pdf = {articles-pre/BarMul11b-pre.pdf}
}
@article{BarRou11,
author = {Bartels, S{\"o}ren and Roub{\'{\i}}{\v{c}}ek, Tom{\'a}{\v{s}}},
title = {Thermo-visco-elasticity with rate-independent plasticity in
isotropic materials undergoing thermal expansion},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {45},
year = {2011},
number = {3},
pages = {477--504},
issn = {0764-583X},
mrclass = {65M60 (35Q74 49S05 74C05 74F05)},
mrnumber = {2804647},
mrreviewer = {Luc Paquet},
doi = {10.1051/m2an/2010063},
url = {http://dx.doi.org/10.1051/m2an/2010063},
pdf = {articles-pre/BarRou11-pre.pdf}
}
@article{BarMul11a,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
title = {Quasi-optimal and robust a posteriori error estimates in
{$L^\infty(L^2)$} for the approximation of
{A}llen-{C}ahn equations past singularities},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {80},
year = {2011},
number = {274},
pages = {761--780},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65M60 (35B25 35K20 35K91 65M15)},
mrnumber = {2772095},
mrreviewer = {Jos{\'e} R. Fern{\'a}ndez},
doi = {10.1090/S0025-5718-2010-02444-5},
url = {http://dx.doi.org/10.1090/S0025-5718-2010-02444-5},
pdf = {articles-pre/BarMul11-pre.pdf}
}
@article{BaMuOr11,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger and Ortner,
Christoph},
title = {Robust a priori and a posteriori error analysis for the
approximation of {A}llen-{C}ahn and {G}inzburg-{L}andau
equations past topological changes},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {49},
year = {2011},
number = {1},
pages = {110--134},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (65M15)},
mrnumber = {2764423},
mrreviewer = {Georgios D. Akrivis},
doi = {10.1137/090751530},
url = {http://dx.doi.org/10.1137/090751530},
pdf = {articles-pre/BaMuOr11-pre.pdf}
}
@article{Bart10,
author = {Bartels, S{\"o}ren},
title = {Numerical analysis of a finite element scheme for the
approximation of harmonic maps into surfaces},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {79},
year = {2010},
number = {271},
pages = {1263--1301},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65N30 (58E20 65N12 65N22)},
mrnumber = {2629993},
mrreviewer = {R{\'e}mi Vaillancourt},
doi = {10.1090/S0025-5718-09-02300-X},
url = {http://dx.doi.org/10.1090/S0025-5718-09-02300-X},
pdf = {articles-pre/Bart10a-pre.pdf}
}
@article{BaDoNo10,
author = {Bartels, S{\"o}ren and Dolzmann, Georg and Nochetto, Ricardo
H.},
title = {A finite element scheme for the evolution of orientation order
in fluid membranes},
journal = {M2AN Math. Model. Numer. Anal.},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
volume = {44},
year = {2010},
number = {1},
pages = {1--31},
issn = {0764-583X},
mrclass = {65M60 (35K52 65M12 76M10 76Z05 92C30)},
mrnumber = {2647752},
mrreviewer = {Matthias Ehrhardt},
doi = {10.1051/m2an/2009040},
url = {http://dx.doi.org/10.1051/m2an/2009040},
pdf = {articles-pre/BaDoNo10-pre.pdf}
}
@article{BarMul10,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
title = {A posteriori error controlled local resolution of evolving
interfaces for generalized {C}ahn-{H}illiard equations},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Modelling,
Analysis and Computation},
volume = {12},
year = {2010},
number = {1},
pages = {45--73},
issn = {1463-9963},
mrclass = {35K25 (35K58 65N25)},
mrnumber = {2595377},
mrreviewer = {Igor Bock},
doi = {10.4171/IFB/226},
url = {http://dx.doi.org/10.4171/IFB/226},
pdf = {articles-pre/BarMul10-pre.pdf}
}
@article{BaJeMu09,
author = {Bartels, S{\"o}ren and Jensen, Max and M{\"u}ller,
R{\"u}diger},
title = {Discontinuous {G}alerkin finite element convergence for
incompressible miscible displacement problems of low
regularity},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {47},
year = {2009},
number = {5},
pages = {3720--3743},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (65M12 76M10 76S05)},
mrnumber = {2576518},
mrreviewer = {Carlos V{\'a}zquez Cend{\'o}n},
doi = {10.1137/070712079},
url = {http://dx.doi.org/10.1137/070712079},
pdf = {articles-pre/BaJeMu09-pre.pdf}
}
@article{Bart09b,
author = {Bartels, S{\"o}ren},
title = {Semi-implicit approximation of wave maps into smooth or convex
surfaces},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {47},
year = {2009},
number = {5},
pages = {3486--3506},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (35A35 35L20 35Q75 58J45 65M12)},
mrnumber = {2576508},
mrreviewer = {Erwin Schechter},
doi = {10.1137/080731475},
url = {http://dx.doi.org/10.1137/080731475},
pdf = {articles-pre/Bart09b-pre.pdf}
}
@article{BaLuPr09,
author = {Bartels, S{\"o}ren and Lubich, Christian and Prohl, Andreas},
title = {Convergent discretization of heat and wave map flows to
spheres using approximate discrete {L}agrange multipliers},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {78},
year = {2009},
number = {267},
pages = {1269--1292},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65M12 (35B40 35K20 35K55 35L70 65M60)},
mrnumber = {2501050},
mrreviewer = {Veronika Sobot{\'{\i}}kov{\'a}},
doi = {10.1090/S0025-5718-09-02221-2},
url = {http://dx.doi.org/10.1090/S0025-5718-09-02221-2},
pdf = {articles-pre/BaLuPr09.pdf}
}
@article{Bart09a,
author = {Bartels, S{\"o}ren},
title = {Combination of global and local approximation schemes for
harmonic maps into spheres},
journal = {J. Comput. Math.},
fjournal = {Journal of Computational Mathematics},
volume = {27},
year = {2009},
number = {2-3},
pages = {170--183},
issn = {0254-9409},
coden = {JCMMEB},
mrclass = {58E20 (35J20 35J62 35J65 65N30)},
mrnumber = {2495054},
mrreviewer = {Andreas Gastel},
pdf = {articles-pre/}
}
@article{BarRou08,
author = {Bartels, S{\"o}ren and Roub{\'{\i}}{\v{c}}ek, Tom{\'a}{\v{s}}},
title = {Thermoviscoplasticity at small strains},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik.
Journal of Applied Mathematics and Mechanics},
volume = {88},
year = {2008},
number = {9},
pages = {735--754},
issn = {0044-2267},
mrclass = {35K85 (49S05 65M60 74C10 80A20)},
mrnumber = {2488604},
mrreviewer = {Jerzy August Gawinecki},
doi = {10.1002/zamm.200800042},
url = {http://dx.doi.org/10.1002/zamm.200800042},
pdf = {articles-pre/BarRou08-pre.pdf}
}
@article{BarPro08,
author = {Bartels, S{\"o}ren and Prohl, Andreas},
title = {Convergence of an implicit, constraint preserving finite
element discretization of {$p$}-harmonic heat flow into
spheres},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {109},
year = {2008},
number = {4},
pages = {489--507},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65M60 (35K55 35K60)},
mrnumber = {2407320},
mrreviewer = {Iuliu Sorin Pop},
doi = {10.1007/s00211-008-0150-1},
url = {http://dx.doi.org/10.1007/s00211-008-0150-1},
pdf = {articles-pre/BarPro08-pre.pdf}
}
@article{BaBaPr08,
author = {Ba{\v{n}}as, L'ubom{\'{\i}}r and Bartels, S{\"o}ren and Prohl,
Andreas},
title = {A convergent implicit finite element discretization of the
{M}axwell-{L}andau-{L}ifshitz-{G}ilbert equation},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {46},
year = {2008},
number = {3},
pages = {1399--1422},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (35Q60 94A08)},
mrnumber = {2390999},
doi = {10.1137/070683064},
url = {http://dx.doi.org/10.1137/070683064},
pdf = {articles-pre/BaBaPr08-pre.pdf}
}
@article{BaKoPr08,
author = {Bartels, S{\"o}ren and Ko, Joy and Prohl, Andreas},
title = {Numerical analysis of an explicit approximation scheme for the
{L}andau-{L}ifshitz-{G}ilbert equation},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {77},
year = {2008},
number = {262},
pages = {773--788},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {82D40 (35K65 35Q60 65M12)},
mrnumber = {2373179},
mrreviewer = {Yaniv Almog},
doi = {10.1090/S0025-5718-07-02079-0},
url = {http://dx.doi.org/10.1090/S0025-5718-07-02079-0},
pdf = {articles-pre/BaKoPr08-pre.pdf}
}
@article{BarCar08,
author = {Bartels, S{\"o}ren and Carstensen, Carsten},
title = {A convergent adaptive finite element method for an optimal
design problem},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {108},
year = {2008},
number = {3},
pages = {359--385},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65N30 (74S05)},
mrnumber = {2365822},
mrreviewer = {Christoph Ortner},
doi = {10.1007/s00211-007-0122-x},
url = {http://dx.doi.org/10.1007/s00211-007-0122-x},
pdf = {articles-pre/BarCar08-pre.pdf}
}
@article{BaFePr07,
author = {Bartels, S{\"o}ren and Feng, Xiaobing and Prohl, Andreas},
title = {Finite element approximations of wave maps into spheres},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {46},
year = {2007/08},
number = {1},
pages = {61--87},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {35L70 (35L20 58J45)},
mrnumber = {2377255},
doi = {10.1137/060659971},
url = {http://dx.doi.org/10.1137/060659971},
pdf = {articles-pre/BaFePr07-pre.pdf}
}
@article{BarPro07b,
author = {Bartels, S{\"o}ren and Prohl, Andreas},
title = {Stable discretization of scalar and constrained vectorial
{P}erona-{M}alik equation},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Modelling,
Analysis and Computation},
volume = {9},
year = {2007},
number = {4},
pages = {431--453},
issn = {1463-9963},
mrclass = {35K55 (35K20 65M60)},
mrnumber = {2358212},
mrreviewer = {Manfred Dobrowolski},
doi = {10.4171/IFB/172},
url = {http://dx.doi.org/10.4171/IFB/172},
pdf = {articles-pre/BarPro07b-pre.pdf}
}
@article{BarPro07a,
author = {Bartels, S{\"o}ren and Prohl, Andreas},
title = {Constraint preserving implicit finite element discretization
of harmonic map flow into spheres},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {76},
year = {2007},
number = {260},
pages = {1847--1859},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65M60 (35K55 53C44 58E20)},
mrnumber = {2336271},
mrreviewer = {Beny Neta},
doi = {10.1090/S0025-5718-07-02026-1},
url = {http://dx.doi.org/10.1090/S0025-5718-07-02026-1},
pdf = {articles-pre/BarPro07a-pre.pdf}
}
@article{BBFP07,
author = {Barrett, John W. and Bartels, S{\"o}ren and Feng, Xiaobing and
Prohl, Andreas},
title = {A convergent and constraint-preserving finite element method
for the {$p$}-harmonic flow into spheres},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {45},
year = {2007},
number = {3},
pages = {905--927},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (49J10 58E20 94A08)},
mrnumber = {2318794},
mrreviewer = {Erwin Schechter},
doi = {10.1137/050639429},
url = {http://dx.doi.org/10.1137/050639429},
pdf = {articles-pre/BBFP07-pre.pdf}
}
@incollection{BCCHH06,
author = {Bartels, S{\"o}ren and Carstensen, Carsten and Conti, Sergio
and Hackl, Klaus and Hoppe, Ulrich and Orlando, Antonio},
title = {Relaxation and the computation of effective energies and
microstructures in solid mechanics},
booktitle = {Analysis, modeling and simulation of multiscale problems},
pages = {197--224},
publisher = {Springer, Berlin},
year = {2006},
mrclass = {74N15 (49J45 74G65)},
mrnumber = {2275163},
mrreviewer = {Martin Kru{\v{z}}{\'{\i}}k},
doi = {10.1007/3-540-35657-6_8},
url = {http://dx.doi.org/10.1007/3-540-35657-6_8},
pdf = {articles-pre/BCCHH06-pre.pdf}
}
@article{BarPro06,
author = {Bartels, S{\"o}ren and Prohl, Andreas},
title = {Convergence of an implicit finite element method for the
{L}andau-{L}ifshitz-{G}ilbert equation},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {44},
year = {2006},
number = {4},
pages = {1405--1419},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65M60 (82D40)},
mrnumber = {2257110},
mrreviewer = {Anne Nouri},
doi = {10.1137/050631070},
url = {http://dx.doi.org/10.1137/050631070},
pdf = {articles-pre/BarPro06-pre.pdf}
}
@article{BaCaHe06,
author = {Bartels, S. and Carstensen, C. and Hecht, A.},
title = {{$\rm P2Q2Iso2D=2D$} isoparametric {FEM} in {M}atlab},
journal = {J. Comput. Appl. Math.},
fjournal = {Journal of Computational and Applied Mathematics},
volume = {192},
year = {2006},
number = {2},
pages = {219--250},
issn = {0377-0427},
coden = {JCAMDI},
mrclass = {55N30 (65-04)},
mrnumber = {2228811},
doi = {10.1016/j.cam.2005.04.032},
url = {http://dx.doi.org/10.1016/j.cam.2005.04.032},
pdf = {articles-pre/BaCaHe06-pre.pdf}
}
@article{Bart05d,
author = {Bartels, S{\"o}ren},
title = {Robust a priori error analysis for the approximation of
degree-one {G}inzburg-{L}andau vortices},
journal = {M2AN Math. Model. Numer. Anal.},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
volume = {39},
year = {2005},
number = {5},
pages = {863--882},
issn = {0764-583X},
mrclass = {35K55 (35Q40 65M15)},
mrnumber = {2178565},
mrreviewer = {Xingbin Pan},
doi = {10.1051/m2an:2005038},
url = {http://dx.doi.org/10.1051/m2an:2005038},
pdf = {articles-pre/Bart05d-pre.pdf}
}
@article{Bart05c,
author = {Bartels, S{\"o}ren},
title = {Reliable and efficient approximation of polyconvex envelopes},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {43},
year = {2005},
number = {1},
pages = {363--385},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {41A63 (49M30 65K10)},
mrnumber = {2177149},
mrreviewer = {Carsten Carstensen},
doi = {10.1137/S0036142903428840},
url = {http://dx.doi.org/10.1137/S0036142903428840},
pdf = {articles-pre/Bart05c-pre.pdf}
}
@article{Bart05b,
author = {Bartels, S{\"o}ren},
title = {Stability and convergence of finite-element approximation
schemes for harmonic maps},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {43},
year = {2005},
number = {1},
pages = {220--238},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65N30 (58E20 76A15 82D30)},
mrnumber = {2177142},
mrreviewer = {R. Kodn{\'a}r},
doi = {10.1137/040606594},
url = {http://dx.doi.org/10.1137/040606594},
pdf = {articles-pre/Bart05b-pre.pdf}
}
@article{Bart05a,
author = {Bartels, S{\"o}ren},
title = {A posteriori error analysis for time-dependent
{G}inzburg-{L}andau type equations},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {99},
year = {2005},
number = {4},
pages = {557--583},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65M15 (65M50 65M60)},
mrnumber = {2121069},
mrreviewer = {Severiano Gonzalez-Pinto},
doi = {10.1007/s00211-004-0560-7},
url = {http://dx.doi.org/10.1007/s00211-004-0560-7},
pdf = {articles-pre/Bart05a-pre.pdf}
}
@article{BarRou04,
author = {Bartels, S{\"o}ren and Roub{\'{\i}}{\v{c}}ek, Tom{\'a}{\v{s}}},
title = {Linear-programming approach to nonconvex variational problems},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {99},
year = {2004},
number = {2},
pages = {251--287},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {49M05 (49J10 65K05 90C05)},
mrnumber = {2107432},
mrreviewer = {Guenter Leugering},
doi = {10.1007/s00211-004-0549-2},
url = {http://dx.doi.org/10.1007/s00211-004-0549-2},
pdf = {articles-pre/BarRou04-pre.pdf}
}
@article{BarCar04,
author = {Bartels, S. and Carstensen, C.},
title = {Averaging techniques yield reliable a posteriori finite
element error control for obstacle problems},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {99},
year = {2004},
number = {2},
pages = {225--249},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {35J20 (35J85 49J40 65N15 65N30)},
mrnumber = {2107431},
mrreviewer = {Michael Hinterm{\"u}ller},
doi = {10.1007/s00211-004-0553-6},
url = {http://dx.doi.org/10.1007/s00211-004-0553-6},
pdf = {articles-pre/BarCar04-pre.pdf}
}
@article{Bart04b,
author = {Bartels, S{\"o}ren},
title = {Linear convergence in the approximation of rank-one convex
envelopes},
journal = {M2AN Math. Model. Numer. Anal.},
fjournal = {M2AN. Mathematical Modelling and Numerical Analysis},
volume = {38},
year = {2004},
number = {5},
pages = {811--820},
issn = {0764-583X},
mrclass = {65K10 (49M25 74G15 74G65)},
mrnumber = {2104430},
mrreviewer = {Andrzej M. My{\'s}li{\'n}ski},
doi = {10.1051/m2an:2004040},
url = {http://dx.doi.org/10.1051/m2an:2004040},
pdf = {articles-pre/Bart04b-pre.pdf}
}
@article{BCHH04,
author = {Bartels, S. and Carstensen, C. and Hackl, K. and Hoppe, U.},
title = {Effective relaxation for microstructure simulations:
algorithms and applications},
journal = {Comput. Methods Appl. Mech. Engrg.},
fjournal = {Computer Methods in Applied Mechanics and Engineering},
volume = {193},
year = {2004},
number = {48-51},
pages = {5143--5175},
issn = {0045-7825},
coden = {CMMECC},
mrclass = {74N15 (74G15 74G65)},
mrnumber = {2103046},
mrreviewer = {Michael Bildhauer},
doi = {10.1016/j.cma.2003.12.065},
url = {http://dx.doi.org/10.1016/j.cma.2003.12.065},
pdf = {articles-pre/BCHH04-pre.pdf}
}
@article{BaCaDo04,
author = {Bartels, S. and Carstensen, C. and Dolzmann, G.},
title = {Inhomogeneous {D}irichlet conditions in a priori and a
posteriori finite element error analysis},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {99},
year = {2004},
number = {1},
pages = {1--24},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65N15 (65N30 74G65 74S05)},
mrnumber = {2101782},
mrreviewer = {Steve Wright},
doi = {10.1007/s00211-004-0548-3},
url = {http://dx.doi.org/10.1007/s00211-004-0548-3},
pdf = {articles-pre/BaCaDo04-pre.pdf}
}
@article{Bart04a,
author = {Bartels, S{\"o}ren},
title = {Adaptive approximation of {Y}oung measure solutions in scalar
nonconvex variational problems},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {42},
year = {2004},
number = {2},
pages = {505--530},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {49M25 (49Q20 65K10 74G65 90C20)},
mrnumber = {2084224},
mrreviewer = {Kurt Marti},
doi = {10.1137/S0036142902404091},
url = {http://dx.doi.org/10.1137/S0036142902404091},
pdf = {articles-pre/Bart04a-pre.pdf}
}
@article{BCPP04,
author = {Bartels, S. and Carstensen, C. and Plech{\'a}{\v{c}}, P. and
Prohl, A.},
title = {Convergence for stabilisation of degenerately convex
minimisation problems},
journal = {Interfaces Free Bound.},
fjournal = {Interfaces and Free Boundaries. Mathematical Modelling,
Analysis and Computation},
volume = {6},
year = {2004},
number = {2},
pages = {253--269},
issn = {1463-9963},
mrclass = {65K10 (49J45 49M25 74G65)},
mrnumber = {2079605},
mrreviewer = {Mihail Yu. Kokurin},
doi = {10.4171/IFB/99},
url = {http://dx.doi.org/10.4171/IFB/99},
pdf = {articles-pre/BCPP04-pre.pdf}
}
@article{BarPro04,
author = {Bartels, S{\"o}ren and Prohl, Andreas},
title = {Multiscale resolution in the computation of crystalline
microstructure},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {96},
year = {2004},
number = {4},
pages = {641--660},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {74N15 (65N30 74G15 74G65 74N05 82C26 82D25)},
mrnumber = {2036360},
mrreviewer = {Michael Bildhauer},
doi = {10.1007/s00211-003-0483-8},
url = {http://dx.doi.org/10.1007/s00211-003-0483-8},
pdf = {articles-pre/BarPro04-pre.pdf}
}
@article{CaBaJa02,
author = {Carstensen, Carsten and Bartels, S{\"o}ren and Jansche,
Stefan},
title = {A posteriori error estimates for nonconforming finite element
methods},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {92},
year = {2002},
number = {2},
pages = {233--256},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65N30 (65N15 74B20 74S05)},
mrnumber = {1922920},
doi = {10.1007/s002110100378},
url = {http://dx.doi.org/10.1007/s002110100378},
pdf = {articles-pre/CaBaJa02-pre.pdf}
}
@article{BarCar02b,
author = {Bartels, S{\"o}ren and Carstensen, Carsten},
title = {Each averaging technique yields reliable a posteriori error
control in {FEM} on unstructured grids. {II}. {H}igher order
{FEM}},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {71},
year = {2002},
number = {239},
pages = {971--994},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65N30 (74B20 74S05)},
mrnumber = {1898742},
doi = {10.1090/S0025-5718-02-01412-6},
url = {http://dx.doi.org/10.1090/S0025-5718-02-01412-6},
pdf = {articles-pre/BarCar02-pre.pdf}
}
@article{CarBar02a,
author = {Carstensen, Carsten and Bartels, S{\"o}ren},
title = {Each averaging technique yields reliable a posteriori error
control in {FEM} on unstructured grids. {I}. {L}ow order
conforming, nonconforming, and mixed {FEM}},
journal = {Math. Comp.},
fjournal = {Mathematics of Computation},
volume = {71},
year = {2002},
number = {239},
pages = {945--969},
issn = {0025-5718},
coden = {MCMPAF},
mrclass = {65N30 (74B20 74S05)},
mrnumber = {1898741},
doi = {10.1090/S0025-5718-02-01402-3},
url = {http://dx.doi.org/10.1090/S0025-5718-02-01402-3},
pdf = {articles-pre/CarBar02-pre.pdf}
}
@article{CaBaKl01,
author = {Carstensen, Carsten and Bartels, S{\"o}ren and Klose, Roland},
title = {An experimental survey of a posteriori {C}ourant finite
element error control for the {P}oisson equation},
note = {A posteriori error estimation and adaptive computational
methods},
journal = {Adv. Comput. Math.},
fjournal = {Advances in Computational Mathematics},
volume = {15},
year = {2001},
number = {1-4},
pages = {79--106 (2002)},
issn = {1019-7168},
mrclass = {65N30 (65N15 74S05)},
mrnumber = {1887730},
doi = {10.1023/A:1014269318616},
url = {http://dx.doi.org/10.1023/A:1014269318616},
pdf = {articles-pre/CaBaKl01-pre.pdf}
}
@incollection{BaCaPl00,
author = {Bartels, S{\"o}ren and Carstensen, Carsten and
Plech{\'a}{\v{c}}, Petr},
title = {Finite element computation of macroscopic quantities in
nonconvex minimisation problems and applications in materials
science},
booktitle = {Multifield problems},
pages = {69--79},
publisher = {Springer, Berlin},
year = {2000},
mrclass = {65N30 (65K10 74G65 74N15 74S05)},
mrnumber = {1792224},
pdf = {articles-pre/BaCaPl00-pre.pdf}
}
books.bib
@book{Bart16b-book,
author = {Bartels, S{\"o}ren},
title = {Numerical approximation of partial differential equations},
series = {Texts in Applied Mathematics},
volume = {64},
publisher = {Springer, [Cham]},
year = {2016},
pages = {xv+535},
isbn = {978-3-319-32353-4; 978-3-319-32354-1},
mrclass = {65-01 (65M60 65N30)},
mrnumber = {3496530},
doi = {10.1007/978-3-319-32354-1},
url = {http://dx.doi.org/10.1007/978-3-319-32354-1}
}
@book{Bart16a-book,
author = {Bartels, S{\"o}ren},
title = {Numerik 3x9},
series = {Springer-Lehrbuch},
publisher = {Springer Spektrum},
year = {2016},
pages = {xiii+393},
isbn = {978-3-662-48202-5},
doi = {10.1007/978-3-662-48203-2},
url = {http://dx.doi.org/10.1007/978-3-662-48203-2}
}
@book{Bart15-book,
author = {Bartels, S{\"o}ren},
title = {Numerical methods for nonlinear partial differential
equations},
series = {Springer Series in Computational Mathematics},
volume = {47},
publisher = {Springer, Cham},
year = {2015},
pages = {x+393},
isbn = {978-3-319-13796-4; 978-3-319-13797-1},
mrclass = {65-01 (35A15 35A35 65Mxx 65Nxx)},
mrnumber = {3309171},
mrreviewer = {Karsten Urban},
doi = {10.1007/978-3-319-13797-1},
url = {http://dx.doi.org/10.1007/978-3-319-13797-1}
}
lecnotes.bib
@unpublished{Bart18-EinfProg,
author = {Bartels, S{\"o}ren},
title = {Einf{\"u}hrung in die {P}rogrammierung f{\"u}r {S}tudierende der {N}aturwissenschaften},
note = {Vorlesungsskript},
year = {2018},
pdf = {lecnotes/Bart18-EinfProg.pdf}
}
@unpublished{Bart15-notes-pre,
author = {Bartels, S{\"o}ren},
title = {Numerical solution of nonsmooth problems},
note = {Lecture notes of a course given at the SAMM 2015},
year = {2015},
pdf = {lecnotes/Bart15-notes-pre.pdf}
}
proceedings.bib
@article{BBHT21-proc,
author = {Bartels, S{\"o}ren and Bonito, Andrea and Hornung, Peter and Tscherner, Philipp},
title = {Modeling and Simulation of Thin Sheet Folding},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Numerical Methods for Fully Nonlinear and Related PDEs},
year = {2021},
doi = {10.14760/OWR-2021-31}
}
@article{BarRei19-proc,
author = {Bartels, S{\"o}ren and Reiter, Philipp},
title = {Simulation of elastic knots and inextensible elastic curves},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Surface, Bulk, and Geometric Partial Differential Equations:
Interfacial, stochastic, non-local and discrete structures},
year = {2019},
doi = {10.4171/OWR/2019/3}
}
@article{Bart18-proc,
author = {Bartels, S{\"o}ren},
title = {Finite element methods for nonsmooth problems and application to a problem in optimal insulation},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Computational Engineering},
year = {2018},
doi = {10.4171/OWR/2018/48}
}
@article{BarSch1-proc,
author = {Bartels, S{\"o}ren and Hertzog, Stephan and Milicevic, Marijo and Sch{\"o}n, Patrick},
title = {Numerical methods for optimal transportation},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Emerging Effects in Interfaces and Free Boundaries},
year = {2017},
doi = {10.4171/OWR/2017/6}
}
@article{BaBoNo15-proc,
author = {Bartels, S{\"o}ren and Bonito, Andrea and Nochetto, Ricardo H.},
title = {Numerical methods for bilayer bending problems},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Geometric Partial Differential Equations: Surface and Bulk Processes},
year = {2015},
doi = {10.4171/OWR/2015/55}
}
@article{BaNoSa-proc,
author = {Bartels, S{\"o}ren and Nochetto, Ricardo H. and Salgado, Abner J.},
title = {Total variation minimization with finite elements},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Interfaces and Free Boundaries: Analysis, Control and Simulation},
year = {2013},
doi = {10.4171/OWR/2013/15}
}
@article{BarKru10-proc,
author = {Bartels, S{\"o}ren and Kru{\v{z}}{\'{\i}}k, Martin},
title = {An efficient approach to numerical solutions of multi-well variational problems},
journal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on: Microstructures in Solids: From Quantum Models to Continua},
volume = {1},
year = {2010},
number = {7},
pages = {780--783},
doi = {10.4171/OWR/2010/14}
}
@article{BarMul10-proc,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
journal = {Proc. Appl. Math. Mech},
fjournal = {Proceedings of Applied Mathematics and Mechanics},
title = {Numerical analysis for phase field simulations of moving interfaces with topological changes},
volume = {10},
year = {2010},
number = {1},
doi = {10.1002/pamm.201010275},
pdf = {proceedings/BarMul10-proc.pdf}
}
@article{Bart08-proc,
author = {Bartels, S{\"o}ren},
title = {Approximation of harmonic maps and wave maps},
journal = {Oberwolfach Reports},
fjournal = {Oberwolfach Reports},
note = {Oberwolfach Workshop on Nonstandard Finite Element Methods},
volume = {5},
year = {2008},
number = {3},
pages = {2037--2038},
doi = {10.4171/OWR/2008/36},
pdf = {proceedings/Bart08-proc.pdf}
}
@article{BaDoNo08-proc,
author = {Bartels, S{\"o}ren and Dolzmann, Georg and Nochetto, Ricardo H.},
title = {Analysis and numerical simulation of the evolution of patterns in the gel phase of lipid membranes},
journal = {Oberwolfach Reports},
note = {Oberwolfach Mini-Workshop on: Mathematics of Biological Membranes},
volume = {5},
year = {2008},
number = {3},
pages = {2318--2321},
doi = {10.4171/OWR/2008/41}
}
@article{BarMul08-proc,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
title = {Robust error estimates for adaptive phase field simulations},
journal = {Proc. Appl. Math. Mech},
fjournal = {Proceedings of Applied Mathematics and Mechanics},
volume = {8},
year = {2008},
number = {1},
pages = {10983 - 10984},
doi = {10.1002/pamm.200810983},
pdf = {proceedings/BarMul08-proc.pdf}
}
@article{BarMul07-proc,
author = {Bartels, S{\"o}ren and M{\"u}ller, R{\"u}diger},
title = {Robust a-posteriori error control of {C}ahn-{H}illiard type equations with elasticity},
journal = {Proc. Appl. Math. Mech},
fjournal = {Proceedings of Applied Mathematics and Mechanics},
volume = {7},
year = {2007},
number = {1},
pages = {1023305 - 1023306},
doi = {10.1002/pamm.200700915},
pdf = {proceedings/BarMul07-proc.pdf}
}
@article{Bart06-proc,
author = {Bartels, S{\"o}ren},
title = {Constraint preserving, inexact solution of implicit discretizations of {L}andau--{L}ifshitz--{G}ilbert equations and consequences for convergence},
journal = {Proc. Appl. Math. Mech},
fjournal = {Proceedings of Applied Mathematics and Mechanics},
volume = {6},
year = {2006},
number = {1},
pages = {19--22},
doi = {10.1002/pamm.200610006},
pdf = {proceedings/Bart06-proc.pdf}
}
@article{Bart02-proc,
author = {Bartels, S{\"o}ren},
title = {Error estimates for the adaptive computation of a scalar three well problem},
journal = {Proc. Appl. Math. Mech},
fjournal = {Proceedings of Applied Mathematics and Mechanics},
volume = {1},
year = {2002},
number = {1},
pages = {502--503},
doi = {10.1002/1617-7061(200203)1:1<502::AID-PAMM502>3.0.CO;2-R},
pdf = {proceedings/Bart02-proc.pdf}
}
theses.bib
@mastersthesis{Bart09-thesis,
author = {Bartels, S{\"o}ren},
title = {Finite element approximation of harmonic maps betweeen surfaces},
type = {Habilitation thesis},
year = {2009},
school = {Humboldt Universit{\"a}t zu Berlin, Germany},
pdf = {theses/Bart09-thesis.pdf}
}
@mastersthesis{Bart01-thesis,
author = {Bartels, S{\"o}ren},
title = {Numerical analysis of some nonconvex variational problems},
type = {Ph.{D}. thesis},
year = {2001},
school = {Christian--Albrechts-Universit{\"a}t zu Kiel, Germany},
pdf = {theses/Bart01-thesis.pdf}
}
@mastersthesis{Bart99-thesis,
author = {Bartels, S{\"o}ren},
title = {Theorie und {N}umerik retardierter {I}ntegralgleichungen elektromagnetischer {S}treufelder},
type = {Diploma thesis},
year = {1999},
school = {Christian--Albrechts-Universit{\"a}t zu Kiel, Germany},
pdf = {theses/Bart99-thesis.pdf}
}
@mastersthesis{Bart98-thesis,
author = {Bartels, S{\"o}ren},
title = {Numerical analysis of retarded potential integral equations of electromagnetism},
type = {Master thesis},
year = {1998},
school = {Heriot--Watt University Edinburgh, Scotland, UK},
pdf = {theses/Bart98-thesis.pdf}
}
