BibTeX

preprints.bib

@unpublished{BarKec19-pre,
  author = {Bartels, S{\"o}ren and Keck, Jakob},
  title = {Adaptive time stepping in elastoplasticity},
  year = {2019},
  pdf = {preprints/BarKec19-pre.pdf}
}
@unpublished{BarRuz19-pre,
  author = {Bartels, S{\"o}ren and R{\r u}{\v z}i{\v c}ka, Michael},
  title = {Convergence of fully discrete implicit and semi-implicit approximations of nonlinear parabolic equations},
  year = {2019},
  pdf = {preprints/BarRuz19-pre.pdf}
}
@unpublished{BarMil19-pre,
  author = {Bartels, S{\"o}ren and Milicevic, Marijo},
  title = {Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems},
  year = {2019},
  pdf = {preprints/BarMil19-pre.pdf}
}
@unpublished{Bart19a-pre,
  author = {Bartels, S{\"o}ren},
  title = {Finite element simulation of nonlinear bending models for thin elastic rods and plates},
  year = {2019},
  pdf = {preprints/Bart19a-pre.pdf},
  note = {To appear in Handbook of Numerical Analysis}
}
@unpublished{BarWac18-pre,
  author = {Bartels, S{\"o}ren and Wachsmuth, Gerd},
  title = {Numerical approximation of optimal convex shapes},
  year = {2018},
  pdf = {preprints/BarWac18-pre.pdf}
}
@unpublished{BarRei18-pre,
  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},
  year = {2018},
  pdf = {preprints/BarRei18-pre.pdf}
}
@unpublished{BarHer17-pre,
  author = {Bartels, S{\"o}ren and Hertzog, Stephan},
  title = {Error bounds for discretized optimal transport and its reliable efficient numerical solution},
  year = {2017},
  pdf = {preprints/BarHer17-pre.pdf}
}
@unpublished{BarBut17-pre,
  author = {Bartels, S{\"o}ren and Buttazzo, Giuseppe},
  title = {Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation},
  year = {2017},
  note = {Interfaces Free Bound. (accepted)},
  pdf = {preprints/BarBut17-pre.pdf}
}
@unpublished{BarMil17-pre,
  author = {Bartels, S{\"o}ren and Milicevic, Marijo},
  title = {Alternating direction method of multipliers with variable step sizes},
  year = {2017},
  pdf = {preprints/BarMil17-pre.pdf}
}

articles.bib

@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{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}
}