Publikationen

Preprints

[1] Patrick Dondl, Patrina S. P. Poh, and Marius Zeinhofer. An efficient model for scaffold-mediated bone regeneration, 2021. [ bib | arXiv ]
[2] 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 ]
[3] Patrick Dondl and Marius Zeinhofer. A parameter study on optimal scaffolds in a simple model for bone regeneration, 2021. [ bib | arXiv ]
[4] Patrick Dondl, Sergio Conti, and Julia Orlik. Variational modeling of paperboard delamination under bending, 2021. [ bib | arXiv ]
[5] Patrick Dondl and Brian Straughan. Thermal convection in a linearly viscous fluid overlying a bidisperse porous medium, 2021. [ bib | arXiv ]
[6] Patrick Dondl, Martin Jesenko, Martin Kružík, and Jan Valdman. Linearization and computation for large-strain viscoelasticity, 2021. [ bib | arXiv ]
[7] Patrick Dondl, Johannes Müller, and Marius Zeinhofer. Uniform convergence guarantees for the deep Ritz method for nonlinear problems, 2021. [ bib | arXiv ]
[8] Patrick Dondl and Marius Zeinhofer. Lp(I,Cα(Ω)) regularity for reaction-diffusion equations with non-smooth data, 2021. [ bib | arXiv ]
[9] Patrick Dondl and Marius Zeinhofer. Three dimensional optimization of scaffold porosities for bone tissue engineering, 2021. [ bib | arXiv ]

Journal Publications

[1] Luca Courte and Patrick Dondl. Viscosity solutions for doubly-nonlinear evolution equations. Accepted for publication in Applicable Analysis, 2022. [ bib | arXiv ]
[2] 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. [ bib | DOI ]
[3] 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 ]
[4] Patrick Dondl, Martin Jesenko, and Michael Scheutzow. Infinite pinning. Accepted for publication in Bulletin of the London Mathematical Society, 2021. [ bib | arXiv ]
[5] 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 ]
[6] 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. [ bib | DOI | arXiv ]
[7] 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 ]
[8] 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. [ bib | DOI ]
[9] 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. [ bib | DOI | arXiv ]
[10] 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 ]
[11] 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 ]
[12] 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 ]
[13] 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 ]
[14] 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 ]
[15] 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 ]
[16] 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 ]
[17] 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 ]
[18] 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 ]
[19] 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 ]
[20] 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 ]
[21] 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 ]
[22] Patrick Dondl, Kirill Cherednichenko, and Frank Rösler. Norm-resolvent convergence in perforated domains. Asymptotic Analysis, 110(3--4):163--184, 2018. [ bib | DOI | arXiv ]
[23] 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 ]
[24] 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 ]
[25] 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 ]
[26] 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 ]
[27] 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 ]
[28] 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 ]
[29] 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 ]
[30] 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 ]
[31] 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 ]
[32] 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 ]
[33] 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 ]
[34] 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 ]
[35] Patrick W. Dondl. Numerical and analytical aspects of the pinning of martensitic phase boundaries. GAMM-Mitt., 34(1):118--123, 2011. [ bib | DOI | .pdf ]
[36] Patrick W. Dondl, Luca Mugnai, and Matthias Röger. Confined elastic curves. SIAM J. Appl. Math., 71(6):2205--2226, 2011. [ bib | DOI | arXiv ]
[37] 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 ]
[38] 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 ]
[39] 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 ]
[40] 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 ]
[41] 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 ]
[42] 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 ]