Edit Profile (opens in new tab) Rumpf, Martin Co-Author Distance Author ID: rumpf.martin Published as: Rumpf, Martin; Rumpf, M. Documents Indexed: 115 Publications since 1995, including 6 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Co-Authors: 135 Co-Authors with 119 Joint Publications 3,154 Co-Co-Authors all top 5 Co-Authors 4 single-authored 15 Wirth, Benedikt 12 Conti, Sergio 11 Preusser, Tobias 11 Simon, Stefan 10 Droske, Marc 10 Lenz, Martin O. 8 Effland, Alexander 7 Clarenz, Ulrich 7 Schultz, Rüdiger 6 Schröder, Peter 6 Strzodka, Robert 5 Berkels, Benjamin 5 Dziuk, Gerhard 5 Geihe, Benedict 5 Grün, Günther 5 Heeren, Behrend 4 Diewald, Udo 4 Perl, Ricardo 4 Rajković, Marko 4 Sassen, Josua 3 Justiniano, Jorge 3 Maas, Jan 3 Ohlberger, Mario 3 Pach, Martin 3 Weikard, Ulrich 2 Caselles Costa, Vicent 2 Chambolle, Antonin 2 Dellnitz, Michael 2 Dondl, Patrick Werner 2 Erbar, Matthias 2 Garbe, Christoph S. 2 Garcke, Harald 2 Held, Harald 2 Hildebrandt, Klaus 2 Hornung, Peter 2 Junge, Oliver 2 Jüttler, Bert 2 Lüthen, Nora 2 Mantzaflaris, Angelos 2 Mikula, Karol 2 Nemadjieu, Simplice Firmin 2 Nemitz, Oliver 2 Noelle, Sebastian 2 Olischläger, Nadine 2 Reif, Ulrich 2 Rosenbaum, Wolfram 2 Sapiro, Guillermo 2 Sauter, Stefan 2 Schäfer, Florian 2 Schwen, Lars Ole 2 Smoch, Christoph 2 Telea, Alex 2 Tölkes, Sascha 2 Vantzos, Orestis 2 Voigt, Axel 2 Wardetzky, Max 2 Whitaker, Ross T. 1 Acker, Jens F. 1 Atwal, Pradeep 1 Balzani, Nadine 1 Bar, Leah 1 Bastian, Peter 1 Becker, Joachim 1 Becker, Jörg D. 1 Ben Chen, Mirela 1 Bergounioux, Maïtine 1 Braunsmann, Juliane 1 Bredies, Kristian 1 Buet, Blanche 1 Burger, Martin 1 Bürkle, David 1 Burtscheidt, Johanna 1 Carlier, Guillaume 1 Champion, Thierry 1 Claus, Matthias 1 Diallo, Mamadou S. 1 Dorfler, Willy 1 Engwer, Christian 1 Flucher, Martin 1 Franken, Martina 1 Ginster, Janusz 1 Haasdonk, Bernard 1 Hamann, Bernd 1 Happe, R.-T. 1 Hausser, Frank 1 Hege, Hans-Christian 1 Henn, Stefan 1 Heußer, Norbert 1 Hohmann, Andreas 1 Holschneider, Matthias 1 Hron, Jaroslav 1 Huber, Pascal 1 Iglesias, José Antonio 1 Klöfkorn, Robert 1 Kobler, Erich 1 Kondermann, Claudia 1 Kulesh, Michail 1 Liehr, Florian 1 Linkmann, Gina 1 Litke, Nathan ...and 38 more Co-Authors all top 5 Serials 6 Computer Aided Geometric Design 6 Oberwolfach Reports 5 SIAM Journal on Imaging Sciences 4 Journal of Mathematical Imaging and Vision 4 Computing and Visualization in Science 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Computing 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Interfaces and Free Boundaries 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Scientific Computing 2 International Journal of Computer Vision 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Mechanics and Physics of Solids 1 Journal für die Reine und Angewandte Mathematik 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Optimization 1 Calculus of Variations and Partial Differential Equations 1 Chaos 1 Foundations of Computational Mathematics 1 Multiscale Modeling & Simulation 1 International Journal of Numerical Analysis and Modeling 1 GAMM-Mitteilungen 1 Lecture Notes in Mathematics 1 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 78 Numerical analysis (65-XX) 41 Computer science (68-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 32 Mechanics of deformable solids (74-XX) 27 Partial differential equations (35-XX) 21 Information and communication theory, circuits (94-XX) 18 Differential geometry (53-XX) 16 Fluid mechanics (76-XX) 10 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Operations research, mathematical programming (90-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 810 times in 645 Documents Cited by ▼ Year ▼ Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154 Flucher, M.; Rumpf, M. 62 1997 Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056 Grün, Günther; Rumpf, Martin 60 2000 A level set formulation for Willmore flow. Zbl 1062.35028 Droske, M.; Rumpf, M. 47 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013 Droske, M.; Rumpf, M. 47 2004 A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546 Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R. 32 2004 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045 Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 32 2009 A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054 Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt 26 2012 An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105 Dörfler, W.; Rumpf, M. 24 1998 Exploring invariant sets and invariant measures. Zbl 0938.37056 Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 23 1997 Variational time discretization of geodesic calculus. Zbl 1329.65133 Rumpf, Martin; Wirth, Benedikt 23 2015 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009 Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 21 2015 Risk averse shape optimization. Zbl 1230.49039 Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 19 2011 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164 Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 19 2001 Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041 Grün, Günther; Rumpf, Martin 19 2001 On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033 Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin 19 2016 A nonlinear elastic shape averaging approach. Zbl 1219.49035 Rumpf, Martin; Wirth, Benedikt 17 2009 Time discrete geodesic paths in the space of images. Zbl 1325.65031 Berkels, B.; Effland, A.; Rumpf, M. 15 2015 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309 Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 13 2011 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095 Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 12 2011 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196 Preusser, Tobias; Rumpf, Martin 12 2002 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039 Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 A variational approach to optimal meshes. Zbl 0863.65075 Rumpf, M. 11 1996 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129 Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 10 2011 On generalized mean curvature flow in surface processing. Zbl 1035.53091 Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin 9 2003 Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090 Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger 9 2013 An adaptive level set method for medical image segmentation. Zbl 0982.68546 Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 8 2001 Two step time discretization of Willmore flow. Zbl 1259.65149 Olischläger, N.; Rumpf, M. 7 2009 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086 Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 7 2002 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005 Franken, Martina; Rumpf, Martin; Wirth, Benedikt 7 2013 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076 Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 7 2020 Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337 Rumpf, Martin; Wirth, Benedikt 7 2013 Axioms and variational problems in surface parameterization. Zbl 1069.65547 Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin 6 2004 Composite finite elements for 3D image based computing. Zbl 1512.65036 Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2008 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014 Berkels, Benjamin; Effland, Alexander; Rumpf, Martin 6 2017 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010 Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 6 2018 Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114 Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin 6 2020 Variational time discretization of Riemannian splines. Zbl 1483.49017 Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt 6 2019 PDE methods in flow simulation post processing. Zbl 1060.76635 Becker, Joachim; Preusser, Tobias; Rumpf, Martin 5 2000 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343 Rumpf, Martin; Strzodka, Robert 5 2006 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226 Grün, Günther; Lenz, Martin; Rumpf, Martin 5 2002 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019 Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002 5 2013 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214 Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 5 2018 A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016 Balzani, Nadine; Rumpf, Martin 5 2012 A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 1513.94010 Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M. 4 2008 Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153 Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross 4 2009 Computational methods for nonlinear image registration. Zbl 1185.92070 Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 4 2006 The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141 Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert 4 2000 On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176 Rumpf, M. 4 1998 Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109 Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. 4 2001 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041 Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058 Strzodka, R.; Droske, M.; Rumpf, M. 4 2004 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 Towards fast non-rigid registration. Zbl 1031.68132 Clarenz, U.; Droske, M.; Rumpf, M. 4 2002 Bézier curves in the space of images. Zbl 1444.65009 Effland, Alexander; Rumpf, Martin; Simon, Stefan; Stahn, Kirsten; Wirth, Benedikt 4 2015 An elasticity-based covariance analysis of shapes. Zbl 1235.68284 Rumpf, Martin; Wirth, Benedikt 3 2011 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022 Ohlberger, M.; Rumpf, M. 3 1997 Nonlinear diffusion in graphics hardware. Zbl 1016.68155 Rumpf, M.; Strzodka, R. 3 2001 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159 Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 Finite volume method on moving surfaces. Zbl 1374.76156 Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 3 2008 Variational methods in shape analysis. 2nd edition. Zbl 1331.68259 Rumpf, Martin; Wirth, Benedikt 3 2015 On shape optimization with stochastic loadings. Zbl 1356.93094 Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 3 2012 Image morphing in deep feature spaces: theory and applications. Zbl 1524.65095 Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin 3 2021 Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016 Rumpf, Martin; Vantzos, Orestis 3 2013 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032 Effland, Alexander; Rumpf, Martin; Schäfer, Florian 3 2018 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014 Conti, S.; Lenz, M.; Rumpf, M. 2 2007 Geometry processing from an elastic perspective. Zbl 1322.68246 Rumpf, Martin; Wardetzky, Max 2 2014 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 Geometry of martensite needles in shape memory alloys. (Géométries des aiguilles de martensite dans les alliages à mémoire de forme.) Zbl 1459.74148 Conti, Sergio; Lenz, Martin; Lüthen, Nora; Rumpf, Martin; Zwicknagl, Barbara 2 2020 Transport based image morphing with intensity modulation. Zbl 1489.68328 Maas, Jan; Rumpf, Martin; Simon, Stefan 2 2017 An SL(2) invariant shape median. Zbl 1490.68271 Berkels, Benjamin; Linkmann, Gina; Rumpf, Martin 2 2010 On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028 Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2020 Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025 Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2019 A pessimistic bilevel stochastic problem for elastic shape optimization. Zbl 1515.90080 Burtscheidt, Johanna; Claus, Matthias; Conti, Sergio; Rumpf, Martin; Sassen, Josua; Schultz, Rüdiger 2 2023 Multidimensional adaptive staggered grids. Zbl 1171.76425 Noelle, S.; Rosenbaum, W.; Rumpf, M. 1 2005 Mumford-Shah based registration: a comparison of a level set and a phase field approach. Zbl 1512.94003 Droske, Marc; Ring, Wolfgang; Rumpf, Martin 1 2008 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033 Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526 Grün, Günther; Rumpf, Martin 1 1999 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071 Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 Splines for image metamorphosis. Zbl 1497.65047 Justiniano, Jorge; Rajković, Marko; Rumpf, Martin 1 2021 Finite element approximation of large-scale isometric deformations of parametrized surfaces. Zbl 1501.65126 Rumpf, Martin; Simon, Stefan; Smoch, Christoph 1 2022 A phase-field approach to variational hierarchical surface segmentation. Zbl 1469.65060 Meny, Janos; Rumpf, Martin; Sassen, Josua 1 2021 Variational methods in shape analysis. Zbl 1259.68212 Rumpf, Martin; Wirth, Benedikt 1 2011 A posteriori modeling error estimates in the optimization of two-scale elastic composite materials. Zbl 1456.65159 Conti, Sergio; Geihe, Benedict; Lenz, Martin; Rumpf, Martin 1 2018 A pessimistic bilevel stochastic problem for elastic shape optimization. Zbl 1515.90080 Burtscheidt, Johanna; Claus, Matthias; Conti, Sergio; Rumpf, Martin; Sassen, Josua; Schultz, Rüdiger 2 2023 Finite element approximation of large-scale isometric deformations of parametrized surfaces. Zbl 1501.65126 Rumpf, Martin; Simon, Stefan; Smoch, Christoph 1 2022 Image morphing in deep feature spaces: theory and applications. Zbl 1524.65095 Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin 3 2021 Splines for image metamorphosis. Zbl 1497.65047 Justiniano, Jorge; Rajković, Marko; Rumpf, Martin 1 2021 A phase-field approach to variational hierarchical surface segmentation. Zbl 1469.65060 Meny, Janos; Rumpf, Martin; Sassen, Josua 1 2021 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076 Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 7 2020 Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114 Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin 6 2020 Geometry of martensite needles in shape memory alloys. (Géométries des aiguilles de martensite dans les alliages à mémoire de forme.) Zbl 1459.74148 Conti, Sergio; Lenz, Martin; Lüthen, Nora; Rumpf, Martin; Zwicknagl, Barbara 2 2020 On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028 Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2020 Variational time discretization of Riemannian splines. Zbl 1483.49017 Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt 6 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 Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025 Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2019 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010 Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 6 2018 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214 Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 5 2018 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032 Effland, Alexander; Rumpf, Martin; Schäfer, Florian 3 2018 A posteriori modeling error estimates in the optimization of two-scale elastic composite materials. Zbl 1456.65159 Conti, Sergio; Geihe, Benedict; Lenz, Martin; Rumpf, Martin 1 2018 A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014 Berkels, Benjamin; Effland, Alexander; Rumpf, Martin 6 2017 Transport based image morphing with intensity modulation. Zbl 1489.68328 Maas, Jan; Rumpf, Martin; Simon, Stefan 2 2017 On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033 Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin 19 2016 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 Variational time discretization of geodesic calculus. Zbl 1329.65133 Rumpf, Martin; Wirth, Benedikt 23 2015 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009 Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 21 2015 Time discrete geodesic paths in the space of images. Zbl 1325.65031 Berkels, B.; Effland, A.; Rumpf, M. 15 2015 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019 Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Bézier curves in the space of images. Zbl 1444.65009 Effland, Alexander; Rumpf, Martin; Simon, Stefan; Stahn, Kirsten; Wirth, Benedikt 4 2015 Variational methods in shape analysis. 2nd edition. Zbl 1331.68259 Rumpf, Martin; Wirth, Benedikt 3 2015 Geometry processing from an elastic perspective. Zbl 1322.68246 Rumpf, Martin; Wardetzky, Max 2 2014 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033 Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071 Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090 Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger 9 2013 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005 Franken, Martina; Rumpf, Martin; Wirth, Benedikt 7 2013 Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337 Rumpf, Martin; Wirth, Benedikt 7 2013 Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002 5 2013 Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016 Rumpf, Martin; Vantzos, Orestis 3 2013 A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054 Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt 26 2012 A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016 Balzani, Nadine; Rumpf, Martin 5 2012 On shape optimization with stochastic loadings. Zbl 1356.93094 Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 3 2012 Risk averse shape optimization. Zbl 1230.49039 Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 19 2011 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309 Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 13 2011 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095 Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 12 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129 Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 10 2011 An elasticity-based covariance analysis of shapes. Zbl 1235.68284 Rumpf, Martin; Wirth, Benedikt 3 2011 Variational methods in shape analysis. Zbl 1259.68212 Rumpf, Martin; Wirth, Benedikt 1 2011 An SL(2) invariant shape median. Zbl 1490.68271 Berkels, Benjamin; Linkmann, Gina; Rumpf, Martin 2 2010 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045 Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 32 2009 A nonlinear elastic shape averaging approach. Zbl 1219.49035 Rumpf, Martin; Wirth, Benedikt 17 2009 Two step time discretization of Willmore flow. Zbl 1259.65149 Olischläger, N.; Rumpf, M. 7 2009 Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153 Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross 4 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039 Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 Composite finite elements for 3D image based computing. Zbl 1512.65036 Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2008 A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 1513.94010 Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M. 4 2008 Finite volume method on moving surfaces. Zbl 1374.76156 Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 3 2008 Mumford-Shah based registration: a comparison of a level set and a phase field approach. Zbl 1512.94003 Droske, Marc; Ring, Wolfgang; Rumpf, Martin 1 2008 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014 Conti, S.; Lenz, M.; Rumpf, M. 2 2007 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343 Rumpf, Martin; Strzodka, Robert 5 2006 Computational methods for nonlinear image registration. Zbl 1185.92070 Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 4 2006 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041 Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159 Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 Multidimensional adaptive staggered grids. Zbl 1171.76425 Noelle, S.; Rosenbaum, W.; Rumpf, M. 1 2005 A level set formulation for Willmore flow. Zbl 1062.35028 Droske, M.; Rumpf, M. 47 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013 Droske, M.; Rumpf, M. 47 2004 A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546 Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R. 32 2004 Axioms and variational problems in surface parameterization. Zbl 1069.65547 Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin 6 2004 Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058 Strzodka, R.; Droske, M.; Rumpf, M. 4 2004 On generalized mean curvature flow in surface processing. Zbl 1035.53091 Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin 9 2003 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038 Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196 Preusser, Tobias; Rumpf, Martin 12 2002 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086 Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 7 2002 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226 Grün, Günther; Lenz, Martin; Rumpf, Martin 5 2002 Towards fast non-rigid registration. Zbl 1031.68132 Clarenz, U.; Droske, M.; Rumpf, M. 4 2002 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164 Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 19 2001 Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041 Grün, Günther; Rumpf, Martin 19 2001 An adaptive level set method for medical image segmentation. Zbl 0982.68546 Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 8 2001 Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109 Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. 4 2001 Nonlinear diffusion in graphics hardware. Zbl 1016.68155 Rumpf, M.; Strzodka, R. 3 2001 Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056 Grün, Günther; Rumpf, Martin 60 2000 PDE methods in flow simulation post processing. Zbl 1060.76635 Becker, Joachim; Preusser, Tobias; Rumpf, Martin 5 2000 The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141 Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert 4 2000 Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526 Grün, Günther; Rumpf, Martin 1 1999 An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105 Dörfler, W.; Rumpf, M. 24 1998 On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176 Rumpf, M. 4 1998 Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154 Flucher, M.; Rumpf, M. 62 1997 Exploring invariant sets and invariant measures. Zbl 0938.37056 Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 23 1997 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022 Ohlberger, M.; Rumpf, M. 3 1997 A variational approach to optimal meshes. Zbl 0863.65075 Rumpf, M. 11 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,188 Authors 39 Rumpf, Martin 18 Garcke, Harald 13 Wirth, Benedikt 12 Harbrecht, Helmut 11 Grün, Günther 10 Barrett, John William 10 Nürnberg, Robert 9 Conti, Sergio 7 Rabago, Julius Fergy Tiongson 7 Schultz, Rüdiger 6 Bartels, Sören 6 Burger, Martin 6 Harfash, Akil Jassim 6 Peyré, Gabriel 6 Scherzer, Otmar 6 Schmitzer, Bernhard 6 Simon, Stefan 6 Steidl, Gabriele 6 Voigt, Axel 5 Basting, Steffen 5 Bauer, Martin 5 Chen, Chong 5 Effland, Alexander 5 Elliott, Charles M. 5 Kim, Junseok 5 Le Guyader, Carole 5 Mang, Andreas 5 Modersitzki, Jan 5 Neumayer, Sebastian 5 Schönlieb, Carola-Bibiane 5 Xu, Guoliang 5 Zhang, Daoping 4 Bacani, Jerico B. 4 Bänsch, Eberhard 4 Berkels, Benjamin 4 Bertozzi, Andrea Louise 4 Bredies, Kristian 4 Chen, Ke 4 Dambrine, Marc 4 Deckelnick, Klaus 4 Dedner, Andreas S. 4 Dellnitz, Michael 4 Eppler, Karsten 4 Geihe, Benedict 4 Junge, Oliver 4 Jüngel, Ansgar 4 Krauskopf, Bernd 4 Lenz, Martin O. 4 Martínez-Frutos, Jesús 4 Morigi, Serena 4 Nochetto, Ricardo Horacio 4 Oberhuber, Tomás 4 Öktem, Ozan 4 Osinga, Hinke Maria 4 Peichl, Gunther H. 4 Peschka, Dirk 4 Preusser, Tobias 4 Styles, Vanessa 4 Turek, Stefan 4 Vialard, François-Xavier 3 Allaire, Grégoire 3 Auricchio, Ferdinando 3 Bastian, Peter 3 Biros, George 3 Bruveris, Martins 3 Camarinha, Margarida 3 Casquero, Hugo 3 Chizat, Lénaïc 3 Cirak, Fehmi 3 Claus, Matthias 3 Cuturi, Marco 3 Dapogny, Charles 3 Debroux, Noémie 3 Dondl, Patrick Werner 3 Du, Qiang 3 Engwer, Christian 3 Geiersbach, Caroline 3 Giacomelli, Lorenzo 3 Gottschalk, Hanno 3 Haber, Eldad 3 Hahn, Camilla 3 Hashim, Mohammed Homod 3 Haslinger, Jaroslav 3 Hassan, Sattar M. 3 He, Xiaoming 3 Hömberg, Dietmar 3 Hornung, Peter 3 Hron, Jaroslav 3 Hughes, Thomas J. R. 3 Kessler, Mathieu 3 Kress, Rainer 3 Lam, Kei Fong 3 Li, Xin 3 Lowengrub, John Samuel 3 Lu, Jianfeng 3 Lui, Lok Ming 3 Mantas, José Miguel 3 Mikula, Karol 3 Morin, Pedro 3 Ohlberger, Mario ...and 1,088 more Authors all top 5 Cited in 165 Serials 50 Journal of Computational Physics 41 Computer Methods in Applied Mechanics and Engineering 25 SIAM Journal on Imaging Sciences 24 Journal of Mathematical Imaging and Vision 22 Journal of Scientific Computing 20 Mathematics of Computation 18 Numerische Mathematik 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Computers & Mathematics with Applications 13 Computer Aided Geometric Design 11 Journal of Computational and Applied Mathematics 9 SIAM Journal on Scientific Computing 8 SIAM Journal on Numerical Analysis 8 Computing and Visualization in Science 7 Inverse Problems 7 Applied Mathematics and Optimization 7 Applied Numerical Mathematics 7 International Journal of Computer Vision 7 Foundations of Computational Mathematics 6 International Journal for Numerical Methods in Engineering 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Control and Optimization 6 Calculus of Variations and Partial Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Mathematical Methods in the Applied Sciences 5 Computational Mechanics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Computational Optimization and Applications 5 Multiscale Modeling & Simulation 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Physica D 4 International Journal of Computer Mathematics 4 Mathematical Programming. Series A. Series B 4 SIAM Journal on Optimization 4 Advances in Computational Mathematics 4 Chaos 4 Nonlinear Analysis. Real World Applications 4 Computational Methods in Applied Mathematics 4 Structural and Multidisciplinary Optimization 4 Inverse Problems and Imaging 4 Advances in Calculus of Variations 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Computing 3 Kybernetika 3 Applications of Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Set-Valued and Variational Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Journal of the Mechanics and Physics of Solids 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 ACM Transactions on Graphics 2 The Journal of Geometric Analysis 2 Pattern Recognition 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 Journal of Inverse and Ill-Posed Problems 2 Mathematical Problems in Engineering 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 Optimization and Engineering 2 SIAM Journal on Applied Dynamical Systems 2 Oberwolfach Reports 2 GAMM-Mitteilungen 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Journal of Geometric Mechanics 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 1 Acta Mechanica 1 Computers and Fluids 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 BIT 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Canadian Mathematical Bulletin 1 Journal of Approximation Theory ...and 65 more Serials all top 5 Cited in 42 Fields 366 Numerical analysis (65-XX) 233 Partial differential equations (35-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 120 Mechanics of deformable solids (74-XX) 111 Fluid mechanics (76-XX) 83 Computer science (68-XX) 77 Information and communication theory, circuits (94-XX) 54 Biology and other natural sciences (92-XX) 39 Differential geometry (53-XX) 37 Operations research, mathematical programming (90-XX) 36 Dynamical systems and ergodic theory (37-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Probability theory and stochastic processes (60-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Systems theory; control (93-XX) 11 Ordinary differential equations (34-XX) 11 Optics, electromagnetic theory (78-XX) 9 Functional analysis (46-XX) 9 Statistics (62-XX) 8 Operator theory (47-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year