Publikationen

Preprints

[1] Patrick Dondl, Patrina S. P. Poh, and Marius Zeinhofer. An efficient model for scaffold-mediated bone regeneration, 2021. [ bib | arXiv ]
[2] Wolfram G. Nöhring, Jan Grießer, Patrick Dondl, and Lars Pastewka. Surface lattice Green's functions for high-entropy alloys, 2021. [ bib | arXiv ]
[3] Luca Courte, Patrick Dondl, and Michael Ortiz. A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles, 2021. [ bib | arXiv ]
[4] Luca Courte and Patrick Dondl. Viscosity solutions for doubly-nonlinear evolution equations, 2020. [ bib | arXiv ]
[5] Steve Wolff-Vorbeck, Olga Speck, Thomas Speck, and Patrick Dondl. Influence of structural reinforcements on the twist-to-bend ratio of plant stems, 2020. [ bib | http ]
[6] Patrick Dondl and Stephan Wojtowytsch. Keeping it together: a phase field version of path-connectedness and its implementation, 2018. [ bib | arXiv ]

Journal Publications

[1] 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. [ bib | DOI | arXiv ]
[2] Patrick Dondl, Martin Jesenko, and Michael Scheutzow. Infinite pinning. Accepted for publication in Bulletin of the London Mathematical Society, 2021. [ bib | arXiv ]
[3] 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. [ bib | DOI | arXiv ]
[4] P Dondl, M Novaga, S Wojtowytsch, and S Wolff-Vorbeck. Connected coulomb columns: analysis and numerics. Nonlinearity, 34(9):6120--6139, 2021. [ bib | DOI | arXiv | http ]
[5] Luca Courte, Patrick Dondl, and Ulisse Stefanelli. Pinning of interfaces by localized dry friction. Journal of Differential Equations, 269(9):7356--7381, 2020. [ bib | DOI | arXiv ]
[6] 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. [ bib | DOI | arXiv ]
[7] 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. [ bib | DOI | arXiv ]
[8] Patrick Dondl and Martin Jesenko. Threshold phenomenon for homogenized fronts in random elastic media. Discrete and Continuous Dynamical Systems Series S, 2019. [ bib | DOI | arXiv ]
[9] 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. [ bib | DOI | arXiv ]
[10] 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. [ bib | DOI | arXiv ]
[11] 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. [ bib | DOI ]
[12] 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. [ bib | DOI ]
[13] 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. [ bib | DOI | arXiv ]
[14] 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. [ bib | DOI | arXiv ]
[15] 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. [ bib | DOI | arXiv ]
[16] 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. [ bib | DOI | arXiv ]
[17] Patrick Dondl, Kirill Cherednichenko, and Frank Rösler. Norm-resolvent convergence in perforated domains. Asymptotic Analysis, 110(3--4):163--184, 2018. [ bib | DOI | arXiv ]
[18] 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. [ bib | DOI | arXiv ]
[19] 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. [ bib | DOI | arXiv ]
[20] 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. [ bib | DOI | arXiv ]
[21] 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. [ bib | DOI | arXiv ]
[22] 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. [ bib | DOI | arXiv ]
[23] 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. [ bib | DOI | arXiv ]
[24] 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. [ bib | DOI | arXiv ]
[25] 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. [ bib | DOI | arXiv ]
[26] 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. [ bib | DOI | arXiv ]
[27] 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. [ bib | DOI | arXiv ]
[28] 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. [ bib | DOI | arXiv ]
[29] Nicolas Dirr, Patrick W. Dondl, and Michael Scheutzow. Pinning of interfaces in random media. Interfaces Free Bound., 13(3):411--421, 2011. [ bib | DOI | arXiv ]
[30] Patrick W. Dondl. Numerical and analytical aspects of the pinning of martensitic phase boundaries. GAMM-Mitt., 34(1):118--123, 2011. [ bib | DOI | .pdf ]
[31] Patrick W. Dondl, Luca Mugnai, and Matthias Röger. Confined elastic curves. SIAM J. Appl. Math., 71(6):2205--2226, 2011. [ bib | DOI | arXiv ]
[32] N. Dirr, P. W. Dondl, G. R. Grimmett, A. E. Holroyd, and M. Scheutzow. Lipschitz percolation. Electron. Commun. Probab., 15:14--21, 2010. [ bib | DOI | arXiv ]
[33] 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. [ bib | DOI | .pdf ]
[34] 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. [ bib | DOI | .pdf ]
[35] 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. [ bib | DOI | .pdf ]
[36] 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. [ bib | DOI | .pdf ]
[37] 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. [ bib | DOI | .pdf ]

Other

[1] Keith Anguige and Patrick W. Dondl. Energy estimates, relaxation, and existence for strain-gradient plasticity with cross-hardening. In Analysis and computation of microstructure in finite plasticity, volume 78 of Lect. Notes Appl. Comput. Mech., pages 157--173. Springer, Cham, 2015. [ bib | DOI ]
[2] Olga Dmitrieva, Dierk Raabe, Stefan Müller, and Patrick W. Dondl. Microstructure in plasticity, a comparison between theory and experiment. In Analysis and computation of microstructure in finite plasticity, volume 78 of Lect. Notes Appl. Comput. Mech., pages 205--218. Springer, Cham, 2015. [ bib | DOI ]
[3] Patrick W. Dondl and Keith Anguige. Relaxation of the non-convex, incremental energy-minimization problem in single-slip strain-gradient plasticity. In Material Forming ESAFORM 2015, volume 651 of Key Engineering Materials, pages 963--968. Trans Tech Publications, 2015. [ bib | DOI ]
[4] Patrick W. Dondl and Celia Reina. Mini-workshop: Inelastic and non-equilibrium material behavior: from atomistic structure to macroscopic constitutive relations. In Oberwolfach Reports, volume 10. EMS Publishing House, 2013. [ bib | DOI ]
[5] Patrick W. Dondl and Kaushik Bhattacharya. The effect of precipitates on the evolution of a martensitic phase boundary. PAMM, 7(1):1151207--1151208, 2007. [ bib | DOI ]
[6] Patrick W. Dondl. Evolution of martensitic phase boundaries in heterogeneous media. In Gianni Dal Maso, Gilles Francfort, Alexander Mielke, and Tomaś Roubíček, editors, Oberwolfach Reports, volume 4, pages 608--610. EMS Publishing House, 2007. [ bib | DOI ]

Theses

[1] Patrick Werner Dondl. Structure and evolution of martensitic phase boundaries. PhD thesis, California Institute of Technology, 2007. [ bib | http ]
[2] Patrick W. Dondl. Modeling and analysis of non-diffusive structural phase transitions in crystals. Master's thesis, Technische Universität München, 2002. [ bib | .pdf ]