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[1]
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Patrick Dondl, Alberto Maione, and Steve Wolff-Vorbeck.
Multi-material model and shape optimization for bending and torsion
of inextensible rods.
ESAIM: COCV, 30:50, 2024.
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DOI |
arXiv ]
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[2]
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Patrick Dondl, Coffi Aristide Hounkpe, and Martin Jesenko.
Γ-convergence of a discrete kirchhoff rod energy.
ESAIM: COCV, 30:53, 2024.
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DOI |
arXiv ]
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[3]
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Patrick Dondl, Yongming Luo, Stefan Neukamm, and Steve Wolff-Vorbeck.
Efficient uncertainty quantification for mechanical properties of
randomly perturbed elastic rods.
Accepted for publication in SIAM MMS, 2024.
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arXiv ]
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[4]
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Luca Courte and Patrick Dondl.
Viscosity solutions for doubly nonlinear evolution equations.
Appl. Anal., 102(14):3923--3945, 2023.
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DOI |
arXiv ]
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[5]
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Patrick Dondl, Sergio Conti, and Julia Orlik.
Variational modeling of paperboard delamination under bending.
Mathematics in Engineering, 5(2):1--28, 2023.
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DOI |
arXiv ]
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[6]
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Patrick Dondl, Martin Jesenko, Martin Kružík, and Jan Valdman.
Linearization and computation for large-strain viscoelasticity.
Mathematics in Engineering, 5(2):1--15, 2023.
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DOI |
arXiv ]
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[7]
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Patrick Dondl and Marius Zeinhofer.
Lp(I,Cα(Ω)) regularity for diffusion equations with
non-smooth data.
Results Math., 78(4):Paper No. 142, 22, 2023.
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DOI |
arXiv ]
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[8]
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Harbir Antil, Patrick W. Dondl, and Ludwig Striet.
Analysis of a sinc-Galerkin method for the fractional Laplacian.
SIAM Journal on Numerical Analysis, 61(6):2967--2993, 2023.
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DOI |
arXiv ]
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[9]
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Patrick Dondl, Martin Jesenko, and Michael Scheutzow.
Infinite pinning.
Bulletin of the London Mathematical Society, 54(2):760--771,
2022.
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DOI |
arXiv ]
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[10]
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Patrick Dondl, Patrina S. P. Poh, and Marius Zeinhofer.
An efficient model for scaffold-mediated bone regeneration.
SIAM Journal on Applied Mathematics, 82(3):924--949, 2022.
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DOI |
arXiv ]
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[11]
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Luca Courte, Patrick Dondl, and Michael Ortiz.
A proof of Taylor scaling for curvature-driven dislocation motion
through random arrays of obstacles.
Arch. Ration. Mech. Anal., 244(2):317--341, 2022.
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DOI |
arXiv ]
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[12]
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Patrick Dondl, Johannes Müller, and Marius Zeinhofer.
Uniform convergence guarantees for the deep Ritz method for
nonlinear problems.
Adv. Contin. Discrete Models, 49, 2022.
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DOI |
arXiv ]
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[13]
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Patrina S. P. Poh, Thomas Lingner, Stefan Kalkhof, Sven Märdian, Jan
Baumbach, Patrick Dondl, Georg N. Duda, and Sara Checa.
Enabling technologies towards personalization of scaffolds for large
bone defect regeneration.
Current Opinion in Biotechnology, 74:263--270, 2022.
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DOI ]
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[14]
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Steve Wolff-Vorbeck, Olga Speck, Max Langer, Thomas Speck, and Patrick W.
Dondl.
Charting the twist-to-bend ratio of plant axes.
Journal of the Royal Society Interface, 19(20220131), 2022.
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DOI ]
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[15]
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Vanessa Weichselberger, Patrick Dondl, and Anne-Kathrin Classen.
Eya-controlled affinity between cell lineages drives tissue
self-organization during Drosophila oogenesis.
Nature Communications, 13(1):6377, 2022.
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DOI ]
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[16]
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Patrick Dondl, Martin Jesenko, and Michael Scheutzow.
Pinning of interfaces in a random medium with zero mean.
Interfaces and Free Boundaries, 23(3):305--321, 2021.
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DOI |
arXiv ]
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[17]
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Harbir Antil, Patrick Dondl, and Ludwig Striet.
Approximation of integral fractional Laplacian and fractional
PDEs via sinc-basis.
SIAM J. Sci. Comput., 43(4):A2897--A2922, 2021.
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DOI |
arXiv ]
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[18]
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Wolfram Georg Nöhring, Jan Grießer, Patrick Dondl, and Lars Pastewka.
Surface lattice Green's functions for high-entropy alloys.
Modelling and Simulation in Materials Science and Engineering,
30(1):015007, 2021.
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DOI |
arXiv ]
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[19]
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Patrick Dondl, Matteo Novaga, Stephan Wojtowytsch, and Steve Wolff-Vorbeck.
Connected coulomb columns: analysis and numerics.
Nonlinearity, 34(9):6120--6139, 2021.
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DOI |
arXiv ]
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[20]
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Steve Wolff-Vorbeck, Olga Speck, Thomas Speck, and Patrick W. Dondl.
Influence of structural reinforcements on the twist-to-bend ratio of
plant axes: a case study on Carex pendula.
Scientific Reports, 11(1):21232, 2021.
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DOI ]
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[21]
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Patrick Dondl and Stephan Wojtowytsch.
Keeping it together: A phase-field version of path-connectedness and
its implementation.
Journal of Algorithms & Computational Technology, 15, 2021.
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DOI |
arXiv ]
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[22]
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Luca Courte, Patrick Dondl, and Ulisse Stefanelli.
Pinning of interfaces by localized dry friction.
Journal of Differential Equations, 269(9):7356--7381, 2020.
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DOI |
arXiv ]
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[23]
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Luca Courte, Kaushik Bhattacharya, and Patrick Dondl.
Bounds on precipitate hardening of line and surface defects in
solids.
Zeitschrift für angewandte Mathematik und Physik, 71(3):99,
2020.
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DOI |
arXiv ]
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[24]
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Patrick W. Dondl, Matteo Novaga, Benedikt Wirth, and Stephan Wojtowytsch.
A Phase-field Approximation of the Perimeter under a
Connectedness Constraint.
SIAM J. Math. Anal., 51(5):3902--3920, 2019.
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DOI |
arXiv ]
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[25]
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Patrick Dondl and Martin Jesenko.
Threshold phenomenon for homogenized fronts in random elastic media.
Discrete and Continuous Dynamical Systems Series S, 2019.
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DOI |
arXiv ]
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[26]
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Patrick Dondl, Patrina S. P. Poh, Martin Rumpf, and Stefan Simon.
Simultaneous elastic shape optimization for a domain splitting in
bone tissue engineering.
Proceedings of the Royal Society A: Mathematical, Physical and
Engineering Sciences, 475(2227):20180718, 2019.
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DOI |
arXiv ]
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[27]
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Patrina S. P. Poh, Dvina Valainis, Kaushik Bhattacharya, Martijn van Griensven,
and Patrick Dondl.
Optimization of bone scaffold porosity distributions.
Scientific Reports, 9(1):9170, 2019.
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DOI |
arXiv ]
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[28]
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Dvina Valainis, Patrick Dondl, Peter Foehr, Rainer Burgkart, Stefan Kalkhof,
Georg N Duda, Martijn van Griensven, and Patrina S P Poh.
Integrated additive design and manufacturing approach for the
bioengineering of bone scaffolds for favorable mechanical and biological
properties.
Biomedical Materials, 14(6):065002, 2019.
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DOI ]
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[29]
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Steve Wolff-Vorbeck, Max Langer, Olga Speck, Thomas Speck, and Patrick Dondl.
Twist-to-bend ratio: an important selective factor for many
rod-shaped biological structures.
Scientific Reports, 9(1):17182, 2019.
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DOI ]
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[30]
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Patrick Dondl, Thomas Frenzel, and Alexander Mielke.
A gradient system with a wiggly energy and relaxed EDP-convergence.
ESAIM Control Optim. Calc. Var., 25:Art. 68, 45, 2019.
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DOI |
arXiv ]
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[31]
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Patrick W. Dondl and Stephan Wojtowytsch.
On the boundary regularity of phase-fields for Willmore's energy.
Proc. Roy. Soc. Edinburgh Sect. A, 149(4):1017--1035, 2019.
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DOI |
arXiv ]
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[32]
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Keith Anguige, Patrick Dondl, and Martin Kružík.
On the existence of minimisers for strain-gradient single-crystal
plasticity.
ZAMM Z. Angew. Math. Mech., 98(3):431--447, 2018.
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DOI |
arXiv ]
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[33]
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Patrick W. Dondl, Matthias W. Kurzke, and Stephan Wojtowytsch.
The effect of forest dislocations on the evolution of a phase-field
model for plastic slip.
Archive for Rational Mechanics and Analysis, 2018.
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DOI |
arXiv ]
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[34]
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Patrick Dondl, Kirill Cherednichenko, and Frank Rösler.
Norm-resolvent convergence in perforated domains.
Asymptotic Analysis, 110(3--4):163--184, 2018.
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DOI |
arXiv ]
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[35]
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Patrick W. Dondl, Antoine Lemenant, and Stephan Wojtowytsch.
Phase field models for thin elastic structures with topological
constraint.
Arch. Ration. Mech. Anal., 223(2):693--736, 2017.
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DOI |
arXiv ]
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[36]
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Patrick W. Dondl and Michael Scheutzow.
Ballistic and sub-ballistic motion of interfaces in a field of random
obstacles.
Ann. Appl. Probab., 27(5):3189--3200, 2017.
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DOI |
arXiv ]
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[37]
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Patrick W. Dondl and Stephan Wojtowytsch.
Uniform regularity and convergence of phase-fields for Willmore's
energy.
Calc. Var. Partial Differential Equations, 56(4):Art. 90, 22,
2017.
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DOI |
arXiv ]
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[38]
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Patrick W. Dondl, Patrick Dorey, and Frank Rösler.
A bound on the pseudospectrum for a class of non-normal
Schrödinger operators.
Appl. Math. Res. Express. AMRX, (2):271--296, 2017.
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DOI |
arXiv ]
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[39]
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Patrick Dondl, Behrend Heeren, and Martin Rumpf.
Optimization of the branching pattern in coherent phase transitions.
C. R. Math. Acad. Sci. Paris, 354(6):639--644, 2016.
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DOI |
arXiv ]
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[40]
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Patrick W. Dondl and Kaushik Bhattacharya.
Effective behavior of an interface propagating through a periodic
elastic medium.
Interfaces Free Bound., 18(1):91--113, 2016.
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DOI |
arXiv ]
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[41]
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Patrick W. Dondl, Michael Scheutzow, and Sebastian Throm.
Pinning of interfaces in a random elastic medium and logarithmic
lattice embeddings in percolation.
Proc. Roy. Soc. Edinburgh Sect. A, 145(3):481--512, 2015.
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DOI |
arXiv ]
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[42]
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Patrick W. Dondl, Luca Mugnai, and Matthias Röger.
A phase field model for the optimization of the Willmore energy in
the class of connected surfaces.
SIAM J. Math. Anal., 46(2):1610--1632, 2014.
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DOI |
arXiv ]
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[43]
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Keith Anguige and Patrick Dondl.
Optimal energy scaling for a shear experiment in single-crystal
plasticity with cross-hardening.
Z. Angew. Math. Phys., 65(5):1011--1030, 2014.
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DOI |
arXiv ]
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[44]
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Keith Anguige and Patrick W. Dondl.
Relaxation of the single-slip condition in strain-gradient
plasticity.
Proceedings of the Royal Society of London A: Mathematical,
Physical and Engineering Sciences, 470(2169), 2014.
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DOI |
arXiv ]
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[45]
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Patrick W. Dondl and Michael Scheutzow.
Positive speed of propagation in a semilinear parabolic interface
model with unbounded random coefficients.
Netw. Heterog. Media, 7(1):137--150, 2012.
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DOI |
arXiv ]
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[46]
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Nicolas Dirr, Patrick W. Dondl, and Michael Scheutzow.
Pinning of interfaces in random media.
Interfaces Free Bound., 13(3):411--421, 2011.
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DOI |
arXiv ]
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[47]
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Patrick W. Dondl.
Numerical and analytical aspects of the pinning of martensitic phase
boundaries.
GAMM-Mitt., 34(1):118--123, 2011.
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DOI |
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[48]
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Patrick W. Dondl, Luca Mugnai, and Matthias Röger.
Confined elastic curves.
SIAM J. Appl. Math., 71(6):2205--2226, 2011.
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DOI |
arXiv ]
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[49]
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Nicolas Dirr, Patrick W. Dondl, Geoffrey R. Grimmett, Alexander E. Holroyd, and
Michael Scheutzow.
Lipschitz percolation.
Electron. Commun. Probab., 15:14--21, 2010.
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DOI |
arXiv ]
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[50]
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Patrick W. Dondl and Kaushik Bhattacharya.
A sharp interface model for the propagation of martensitic phase
boundaries.
Arch. Ration. Mech. Anal., 197(2):599--617, 2010.
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DOI |
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[51]
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Olga Dmitrieva, Patrick W. Dondl, Stefan Müller, and Dierk Raabe.
Lamination microstructure in shear deformed copper single crystals.
Acta Materialia, 57(12):3439 -- 3449, 2009.
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DOI |
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[52]
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Patrick W. Dondl, Kai Hormann, and Johannes Zimmer.
Modeling transformation paths of multiphase materials: The triple
point of zirconia.
Phys. Rev. B, 79:104114, 2009.
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DOI |
.pdf ]
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[53]
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Patrick W. Dondl, Ching-Ping Shen, and Kaushik Bhattacharya.
Computational analysis of martensitic thin films using subdivision
surfaces.
Internat. J. Numer. Methods Engrg., 72(1):72--94, 2007.
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DOI |
.pdf ]
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[54]
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Patrick W. Dondl and Johannes Zimmer.
Modeling and simulation of martensitic phase transitions with a
triple point.
J. Mech. Phys. Solids, 52(9):2057--2077, 2004.
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DOI |
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