Edit Profile (opens in new tab) Dondl, Patrick Werner Co-Author Distance Author ID: dondl.patrick-w Published as: Dondl, Patrick W.; Dondl, Patrick; Dondl, P. more...less Homepage: https://aam.uni-freiburg.de/agdo/index.html?l=de External Links: MGP · dblp Documents Indexed: 49 Publications since 2004, including 7 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 1 Review Co-Authors: 46 Co-Authors with 49 Joint Publications 1,497 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Wojtowytsch, Stephan 7 Scheutzow, Michael K. R. 5 Jesenko, Martin 4 Anguige, Keith 4 Bhattacharya, Kaushik 4 Courte, Luca 4 Zeinhofer, Marius 3 Novaga, Matteo 3 Wolff-Vorbeck, Steve 2 Antil, Harbir 2 Dirr, Nicolas Peter 2 Kružík, Martin 2 Mugnai, Luca 2 Poh, Patrina S. P. 2 Röger, Matthias 2 Rösler, Frank 2 Rumpf, Martin 2 Striet, Ludwig 2 Wirth, Benedikt 1 Cherednichenko, Kirill D. 1 Conti, Sergio 1 Dmitrieva, Olga 1 Dorey, Patrick E. 1 Frenzel, Thomas 1 Grimmett, Geoffrey R. 1 Heeren, Behrend 1 Holroyd, Alexander E. 1 Hounkpe, Coffi Aristide 1 Kurzke, Matthias W. 1 Lemenant, Antoine 1 Luo, Yongming 1 Maione, Alberto 1 Mielke, Alexander 1 Müller, Stefan 1 Neukamm, Stefan 1 Orlik, Julia 1 Ortiz, Michael 1 Raabe, Dierk 1 Reina, Celia 1 Shen, Ching-Ping 1 Simon, Stefan 1 Stefanelli, Ulisse 1 Straughan, Brian 1 Throm, Sebastian 1 Valdman, Jan 1 Zimmer, Johannes all top 5 Serials 4 Archive for Rational Mechanics and Analysis 3 Interfaces and Free Boundaries 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Mathematics in Engineering 1 Applicable Analysis 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Bulletin of the London Mathematical Society 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Advances in Continuous and Discrete Models all top 5 Fields 29 Mechanics of deformable solids (74-XX) 25 Partial differential equations (35-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 166 times in 104 Documents Cited by ▼ Year ▼ Lipschitz percolation. Zbl 1193.60115 Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 19 2010 A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101 Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander 17 2019 Phase field models for thin elastic structures with topological constraint. Zbl 1366.35182 Dondl, Patrick W.; Lemenant, Antoine; Wojtowytsch, Stephan 15 2017 Confined elastic curves. Zbl 1246.49036 Dondl, Patrick W.; Mugnai, Luca; Röger, Matthias 14 2011 Pinning of interfaces in random media. Zbl 1231.35323 Dirr, Nicolas; Dondl, Patrick W.; Scheutzow, Michael 12 2011 Relaxation of the single-slip condition in strain-gradient plasticity. Zbl 1348.74070 Anguige, Keith; Dondl, Patrick W. 9 2014 Norm-resolvent convergence in perforated domains. Zbl 1415.35021 Cherednichenko, K.; Dondl, P.; Rösler, F. 8 2018 Modeling and simulation of martensitic phase transitions with a triple point. Zbl 1078.74037 Dondl, Patrick W.; Zimmer, Johannes 6 2004 Ballistic and sub-ballistic motion of interfaces in a field of random obstacles. Zbl 1499.60332 Dondl, Patrick W.; Scheutzow, Michael 6 2017 Energy estimates, relaxation, and existence for strain-gradient plasticity with cross-hardening. Zbl 1397.74035 Anguige, Keith; Dondl, Patrick W. 5 2015 Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation. Zbl 1326.35387 Dondl, Patrick W.; Scheutzow, Michael; Throm, Sebastian 5 2015 Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. Zbl 1262.35129 Dondl, Patrick W.; Scheutzow, Michael 5 2012 A phase field model for the optimization of the Willmore energy in the class of connected surfaces. Zbl 1293.49106 Dondl, Patrick W.; Mugnai, Luca; Röger, Matthias 4 2014 Optimization of the branching pattern in coherent phase transitions. (Optimisation d’un motif de ramification au cours de la transformation de phase martensitique.) Zbl 1338.74101 Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 4 2016 Effective behavior of an interface propagating through a periodic elastic medium. Zbl 1342.35027 Dondl, Patrick W.; Bhattacharya, Kaushik 4 2016 Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003 Antil, Harbir; Dondl, Patrick; Striet, Ludwig 4 2021 Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026 Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W. 3 2015 Optimal energy scaling for a shear experiment in single-crystal plasticity with cross-hardening. Zbl 1305.74025 Anguige, Keith; Dondl, Patrick 3 2014 Uniform regularity and convergence of phase-fields for Willmore’s energy. Zbl 1376.49060 Dondl, Patrick W.; Wojtowytsch, Stephan 3 2017 The effect of forest dislocations on the evolution of a phase-field model for plastic slip. Zbl 1481.74114 Dondl, Patrick W.; Kurzke, Matthias W.; Wojtowytsch, Stephan 3 2019 A phase-field approximation of the perimeter under a connectedness constraint. Zbl 1433.49017 Dondl, Patrick W.; Novaga, Matteo; Wirth, Benedikt; Wojtowytsch, Stephan 3 2019 Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering. Zbl 1472.74160 Dondl, Patrick; Poh, Patrina S. P.; Rumpf, Martin; Simon, Stefan 2 2019 Computational analysis of martensitic thin films using subdivision surfaces. Zbl 1194.74183 Dondl, Patrick W.; Shen, Ching-Ping; Bhattacharya, Kaushik 2 2007 A sharp interface model for the propagation of martensitic phase boundaries. Zbl 1261.74025 Dondl, Patrick W.; Bhattacharya, Kaushik 2 2010 Bounds on precipitate hardening of line and surface defects in solids. Zbl 1440.35323 Courte, Luca; Bhattacharya, Kaushik; Dondl, Patrick 2 2020 Pinning of interfaces by localized dry friction. Zbl 1440.35324 Courte, Luca; Dondl, Patrick; Stefanelli, Ulisse 2 2020 Pinning of interfaces in a random medium with zero mean. Zbl 1477.35323 Dondl, Patrick W.; Jesenko, Martin; Scheutzow, Michael 1 2021 A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles. Zbl 1487.35187 Courte, Luca; Dondl, Patrick; Ortiz, Michael 1 2022 Uniform convergence guarantees for the deep Ritz method for nonlinear problems. Zbl 07636095 Dondl, Patrick; Müller, Johannes; Zeinhofer, Marius 1 2022 Threshold phenomenon for homogenized fronts in random elastic media. Zbl 1458.35038 Dondl, Patrick W.; Jesenko, Martin 1 2021 A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles. Zbl 1487.35187 Courte, Luca; Dondl, Patrick; Ortiz, Michael 1 2022 Uniform convergence guarantees for the deep Ritz method for nonlinear problems. Zbl 07636095 Dondl, Patrick; Müller, Johannes; Zeinhofer, Marius 1 2022 Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003 Antil, Harbir; Dondl, Patrick; Striet, Ludwig 4 2021 Pinning of interfaces in a random medium with zero mean. Zbl 1477.35323 Dondl, Patrick W.; Jesenko, Martin; Scheutzow, Michael 1 2021 Threshold phenomenon for homogenized fronts in random elastic media. Zbl 1458.35038 Dondl, Patrick W.; Jesenko, Martin 1 2021 Bounds on precipitate hardening of line and surface defects in solids. Zbl 1440.35323 Courte, Luca; Bhattacharya, Kaushik; Dondl, Patrick 2 2020 Pinning of interfaces by localized dry friction. Zbl 1440.35324 Courte, Luca; Dondl, Patrick; Stefanelli, Ulisse 2 2020 A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101 Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander 17 2019 The effect of forest dislocations on the evolution of a phase-field model for plastic slip. Zbl 1481.74114 Dondl, Patrick W.; Kurzke, Matthias W.; Wojtowytsch, Stephan 3 2019 A phase-field approximation of the perimeter under a connectedness constraint. Zbl 1433.49017 Dondl, Patrick W.; Novaga, Matteo; Wirth, Benedikt; Wojtowytsch, Stephan 3 2019 Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering. Zbl 1472.74160 Dondl, Patrick; Poh, Patrina S. P.; Rumpf, Martin; Simon, Stefan 2 2019 Norm-resolvent convergence in perforated domains. Zbl 1415.35021 Cherednichenko, K.; Dondl, P.; Rösler, F. 8 2018 Phase field models for thin elastic structures with topological constraint. Zbl 1366.35182 Dondl, Patrick W.; Lemenant, Antoine; Wojtowytsch, Stephan 15 2017 Ballistic and sub-ballistic motion of interfaces in a field of random obstacles. Zbl 1499.60332 Dondl, Patrick W.; Scheutzow, Michael 6 2017 Uniform regularity and convergence of phase-fields for Willmore’s energy. Zbl 1376.49060 Dondl, Patrick W.; Wojtowytsch, Stephan 3 2017 Optimization of the branching pattern in coherent phase transitions. (Optimisation d’un motif de ramification au cours de la transformation de phase martensitique.) Zbl 1338.74101 Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 4 2016 Effective behavior of an interface propagating through a periodic elastic medium. Zbl 1342.35027 Dondl, Patrick W.; Bhattacharya, Kaushik 4 2016 Energy estimates, relaxation, and existence for strain-gradient plasticity with cross-hardening. Zbl 1397.74035 Anguige, Keith; Dondl, Patrick W. 5 2015 Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation. Zbl 1326.35387 Dondl, Patrick W.; Scheutzow, Michael; Throm, Sebastian 5 2015 Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026 Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W. 3 2015 Relaxation of the single-slip condition in strain-gradient plasticity. Zbl 1348.74070 Anguige, Keith; Dondl, Patrick W. 9 2014 A phase field model for the optimization of the Willmore energy in the class of connected surfaces. Zbl 1293.49106 Dondl, Patrick W.; Mugnai, Luca; Röger, Matthias 4 2014 Optimal energy scaling for a shear experiment in single-crystal plasticity with cross-hardening. Zbl 1305.74025 Anguige, Keith; Dondl, Patrick 3 2014 Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. Zbl 1262.35129 Dondl, Patrick W.; Scheutzow, Michael 5 2012 Confined elastic curves. Zbl 1246.49036 Dondl, Patrick W.; Mugnai, Luca; Röger, Matthias 14 2011 Pinning of interfaces in random media. Zbl 1231.35323 Dirr, Nicolas; Dondl, Patrick W.; Scheutzow, Michael 12 2011 Lipschitz percolation. Zbl 1193.60115 Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 19 2010 A sharp interface model for the propagation of martensitic phase boundaries. Zbl 1261.74025 Dondl, Patrick W.; Bhattacharya, Kaushik 2 2010 Computational analysis of martensitic thin films using subdivision surfaces. Zbl 1194.74183 Dondl, Patrick W.; Shen, Ching-Ping; Bhattacharya, Kaushik 2 2007 Modeling and simulation of martensitic phase transitions with a triple point. Zbl 1078.74037 Dondl, Patrick W.; Zimmer, Johannes 6 2004 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 23 Dondl, Patrick Werner 7 Mielke, Alexander 7 Wojtowytsch, Stephan 5 Holroyd, Alexander E. 5 Novaga, Matteo 5 Peletier, Mark Adriaan 4 Conti, Sergio 4 Courte, Luca 4 Scheutzow, Michael K. R. 4 Stephan, Artur 3 Gravner, Janko 3 Grimmett, Geoffrey R. 3 Jesenko, Martin 3 Müller, Stefan 3 Pluda, Alessandra 3 Rumpf, Martin 3 Stefanelli, Ulisse 2 Anguige, Keith 2 Bartels, Sören 2 Basu, Riddhipratim 2 Bhattacharya, Kaushik 2 Borisov, Denis Ivanovich 2 Dall’Acqua, Anna 2 Dayrens, François 2 Frenzel, Thomas 2 Kružík, Martin 2 Lemenant, Antoine 2 Maas, Jan 2 Masnou, Simon 2 Miura, Tatsuya 2 Pozzetta, Marco 2 Röger, Matthias 2 Sivakoff, David J. 2 Sly, Allan 2 Teixeira, Augusto Quadros 2 Zeinhofer, Marius 2 Zimmer, Johannes 2 Zwicknagl, Barbara Maria 1 Acar, Rüyam 1 Anné, Colette 1 Antil, Harbir 1 Bacho, Aras 1 Balister, Paul N. 1 Barseghyan, Diana 1 Bělík, Pavel 1 Benešová, Barbora 1 Bernstein, Swanhild 1 Bodineau, Thierry 1 Bollobás, Béla 1 Bonnivard, Matthieu 1 Borthagaray, Juan Pablo 1 Braides, Andrea 1 Brazda, Katharina 1 Calle, Maria 1 Chen, Xiaoli 1 Cuesta Romero, Carlota Maria 1 Dabrock, Nils 1 Dayal, Kaushik 1 Deckelnick, Klaus 1 Del Nin, Giacomo 1 Della Porta, Francesco 1 Dirr, Nicolas Peter 1 Dmitrieva, Olga 1 Dolzmann, Georg 1 Emmrich, Etienne 1 Feldman, William M. 1 Ferone, Vincenzo 1 Fonseca, Irene 1 Forkert, Dominik 1 Garcke, Harald 1 Garikipati, Krishna 1 Garroni, Adriana 1 Gavish, Nir 1 Ginster, Janusz 1 Girouard, Alexandre 1 Gracar, Peter 1 Günther, Christina 1 Hackl, Klaus 1 Heeren, Behrend 1 Heida, Martin 1 Henrot, Antoine 1 Hormann, Kai 1 Hu, Tianhao 1 Hüttl, Paul 1 Iglesias, José Antonio 1 Jin, Bangti 1 Jüngel, Ansgar 1 Kahle, Christian 1 Kantner, Markus 1 Kawohl, Bernd 1 Kemmochi, Tomoya 1 Khrabustovskyi, Andrii 1 Knopf, Patrik 1 Knüttel, Sascha 1 Kochmann, Dennis M. 1 Kozma, Gady 1 Kreisbeck, Carolin 1 Lagacé, Jean 1 Lenz, Martin O. 1 Li, Wenbo ...and 57 more Authors all top 5 Cited in 56 Serials 6 SIAM Journal on Mathematical Analysis 5 Calculus of Variations and Partial Differential Equations 5 Interfaces and Free Boundaries 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Archive for Rational Mechanics and Analysis 3 Journal of the Mechanics and Physics of Solids 3 Probability Theory and Related Fields 3 The Annals of Applied Probability 3 Discrete and Continuous Dynamical Systems. Series S 2 Applicable Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Journal of Differential Equations 2 Mathematische Annalen 2 SIAM Journal on Numerical Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Continuum Mechanics and Thermodynamics 2 SIAM Journal on Scientific Computing 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Calculus of Variations 2 Advances in Continuous and Discrete Models 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computer Aided Geometric Design 1 Physica D 1 Asymptotic Analysis 1 Random Structures & Algorithms 1 The Journal of Geometric Analysis 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Mathematics and Mechanics of Solids 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Geometric Flows 1 Mathematics in Engineering all top 5 Cited in 24 Fields 53 Partial differential equations (35-XX) 40 Mechanics of deformable solids (74-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 19 Probability theory and stochastic processes (60-XX) 17 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 8 Differential geometry (53-XX) 7 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year