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Author ID: rumpf.martin Recent zbMATH articles by "Rumpf, Martin"
Published as: Rumpf, Martin; Rumpf, M.
all top 5

Co-Authors

4 single-authored
13 Wirth, Benedikt
10 Conti, Sergio
10 Lenz, Martin O.
9 Droske, Marc
9 Preusser, Tobias
8 Effland, Alexander
8 Simon, Stefan
7 Clarenz, Ulrich
6 Schultz, Rüdiger
6 Strzodka, Robert
5 Berkels, Benjamin
5 Dziuk, Gerhard
5 Geihe, Benedict
5 Grün, Günther
5 Heeren, Behrend
5 Schröder, Peter
4 Diewald, Udo
3 Ohlberger, Mario
3 Pach, Martin
3 Perl, Ricardo
3 Weikard, Ulrich
2 Caselles Costa, Vicent
2 Dellnitz, Michael
2 Dondl, Patrick Werner
2 Garbe, Christoph S.
2 Garcke, Harald
2 Held, Harald
2 Hornung, Peter
2 Junge, Oliver
2 Lüthen, Nora
2 Maas, Jan
2 Nemadjieu, Simplice Firmin
2 Nemitz, Oliver
2 Noelle, Sebastian
2 Olischläger, Nadine
2 Rajković, Marko
2 Reif, Ulrich
2 Rosenbaum, Wolfram
2 Sapiro, Guillermo
2 Sassen, Josua
2 Schäfer, Florian
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 Bergounioux, Maïtine
1 Bredies, Kristian
1 Buet, Blanche
1 Burger, Martin
1 Bürkle, David
1 Carlier, Guillaume
1 Chambolle, Antonin
1 Champion, Thierry
1 Diallo, Mamadou S.
1 Dorfler, Willy
1 Engwer, Christian
1 Erbar, Matthias
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 Hildebrandt, Klaus
1 Hohmann, Andreas
1 Holschneider, Matthias
1 Hron, Jaroslav
1 Huber, Pascal
1 Iglesias, José Antonio
1 Justiniano, Jorge
1 Jüttler, Bert
1 Klöfkorn, Robert
1 Kobler, Erich
1 Kondermann, Claudia
1 Kulesh, Michail
1 Linkmann, Gina
1 Litke, Nathan
1 Maass, Peter
1 Mantzaflaris, Angelos
1 Mennucci, Andrea Carlo Giuseppe
1 Meny, Janos
1 Meyer, Bernhard
1 Mikula, Karol
1 Morigi, Serena
1 Neubauer, Thimo
1 Neumayer, Sebastian
1 Nielsen, Michael Bang
...and 32 more Co-Authors
all top 5

Serials

6 Computer Aided Geometric Design
5 Oberwolfach Reports
5 SIAM Journal on Imaging Sciences
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 Journal of Mathematical Imaging and Vision
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 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 Mathematical Programming. Series A. Series B
1 SIAM Journal on Optimization
1 Calculus of Variations and Partial Differential Equations
1 Computing and Visualization in Science
1 Chaos
1 Foundations of Computational Mathematics
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

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 665 times in 538 Documents Cited by Year
Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154
Flucher, M.; Rumpf, M.
56
1997
Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056
Grün, Günther; Rumpf, Martin
53
2000
A level set formulation for Willmore flow. Zbl 1062.35028
Droske, M.; Rumpf, M.
43
2004
A variational approach to nonrigid morphological image registration. Zbl 1063.49013
Droske, M.; Rumpf, M.
41
2004
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
27
2009
A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546
Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R.
26
2004
Exploring invariant sets and invariant measures. Zbl 0938.37056
Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin
23
1997
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105
Dörfler, W.; Rumpf, M.
22
1998
A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054
Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt
20
2012
Variational time discretization of geodesic calculus. Zbl 1329.65133
Rumpf, Martin; Wirth, Benedikt
18
2015
Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041
Grün, Günther; Rumpf, Martin
18
2001
A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009
Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan
18
2015
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
16
2011
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald; Rumpf, Martin; Weikard, Ulrich
16
2001
A nonlinear elastic shape averaging approach. Zbl 1219.49035
Rumpf, Martin; Wirth, Benedikt
15
2009
A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
12
2011
Time discrete geodesic paths in the space of images. Zbl 1325.65031
Berkels, B.; Effland, A.; Rumpf, M.
12
2015
On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033
Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin
11
2016
A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196
Preusser, Tobias; Rumpf, Martin
11
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.
10
1996
A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309
Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo
10
2011
An adaptive level set method for medical image segmentation. Zbl 0982.68546
Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo
8
2001
On generalized mean curvature flow in surface processing. Zbl 1035.53091
Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin
8
2003
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129
Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
8
2011
Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086
Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin
7
2002
Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090
Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger
7
2013
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
Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337
Rumpf, Martin; Wirth, Benedikt
6
2013
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
5
2020
A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226
Grün, Günther; Lenz, Martin; Rumpf, Martin
5
2002
PDE methods in flow simulation post processing. Zbl 1060.76635
Becker, Joachim; Preusser, Tobias; Rumpf, Martin
5
2000
A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005
Franken, Martina; Rumpf, Martin; Wirth, Benedikt
5
2013
Two step time discretization of Willmore flow. Zbl 1259.65149
Olischläger, N.; Rumpf, M.
5
2009
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
On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176
Rumpf, M.
4
1998
Axioms and variational problems in surface parameterization. Zbl 1069.65547
Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin
4
2004
3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041
Noelle, S.; Rosenbaum, W.; Rumpf, M.
4
2006
Graphics processor units: new prospects for parallel computing. Zbl 1112.68343
Rumpf, Martin; Strzodka, Robert
4
2006
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
A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014
Berkels, Benjamin; Effland, Alexander; Rumpf, Martin
4
2017
Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002
4
2013
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
3
2018
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
3
2016
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
3
2018
Variational methods in shape analysis. 2nd edition. Zbl 1331.68259
Rumpf, Martin; Wirth, Benedikt
3
2015
Finite volume method on moving surfaces. Zbl 1374.76156
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
3
2008
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
Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109
Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R.
3
2001
Computational methods for nonlinear image registration. Zbl 1185.92070
Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian
3
2006
Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114
Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin
3
2020
Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058
Strzodka, R.; Droske, M.; Rumpf, M.
3
2004
Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022
Ohlberger, M.; Rumpf, M.
3
1997
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
3
2000
Towards fast non-rigid registration. Zbl 1031.68132
Clarenz, U.; Droske, M.; Rumpf, M.
3
2002
A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016
Balzani, Nadine; Rumpf, Martin
3
2012
An elasticity-based covariance analysis of shapes. Zbl 1235.68284
Rumpf, Martin; Wirth, Benedikt
3
2011
Variational time discretization of Riemannian splines. Zbl 1483.49017
Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt
3
2019
Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032
Effland, Alexander; Rumpf, Martin; Schäfer, Florian
2
2018
Nonlinear diffusion in graphics hardware. Zbl 1016.68155
Rumpf, M.; Strzodka, R.
2
2001
Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025
Hornung, Peter; Rumpf, Martin; Simon, Stefan
2
2019
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
2
2012
Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016
Rumpf, Martin; Vantzos, Orestis
2
2013
Geometry processing from an elastic perspective. Zbl 1322.68246
Rumpf, Martin; Wardetzky, Max
2
2014
Multidimensional adaptive staggered grids. Zbl 1171.76425
Noelle, S.; Rosenbaum, W.; Rumpf, M.
1
2005
A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 05291121
Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M.
1
2008
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
Variational methods in shape analysis. Zbl 1259.68212
Rumpf, Martin; Wirth, Benedikt
1
2011
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033
Perl, Ricardo; Pozzi, Paola; Rumpf, Martin
1
2014
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028
Hornung, Peter; Rumpf, Martin; Simon, Stefan
1
2020
Image morphing in deep feature spaces: theory and applications. Zbl 07358840
Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin
1
2021
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
1
2019
Finite element approximation of large-scale isometric deformations of parametrized surfaces. Zbl 1501.65126
Rumpf, Martin; Simon, Stefan; Smoch, Christoph
1
2022
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 07358840
Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin
1
2021
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
5
2020
Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114
Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin
3
2020
On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028
Hornung, Peter; Rumpf, Martin; Simon, Stefan
1
2020
Variational time discretization of Riemannian splines. Zbl 1483.49017
Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt
3
2019
Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025
Hornung, Peter; Rumpf, Martin; Simon, Stefan
2
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
1
2019
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
3
2018
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
3
2018
Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032
Effland, Alexander; Rumpf, Martin; Schäfer, Florian
2
2018
A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014
Berkels, Benjamin; Effland, Alexander; Rumpf, Martin
4
2017
On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033
Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin
11
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
3
2016
Variational time discretization of geodesic calculus. Zbl 1329.65133
Rumpf, Martin; Wirth, Benedikt
18
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
18
2015
Time discrete geodesic paths in the space of images. Zbl 1325.65031
Berkels, B.; Effland, A.; Rumpf, M.
12
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
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
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033
Perl, Ricardo; Pozzi, Paola; Rumpf, Martin
1
2014
Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090
Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger
7
2013
Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337
Rumpf, Martin; Wirth, Benedikt
6
2013
A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005
Franken, Martina; Rumpf, Martin; Wirth, Benedikt
5
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
4
2013
Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016
Rumpf, Martin; Vantzos, Orestis
2
2013
A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054
Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt
20
2012
A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016
Balzani, Nadine; Rumpf, Martin
3
2012
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
2
2012
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
16
2011
A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
12
2011
A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309
Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo
10
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
8
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
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
27
2009
A nonlinear elastic shape averaging approach. Zbl 1219.49035
Rumpf, Martin; Wirth, Benedikt
15
2009
Two step time discretization of Willmore flow. Zbl 1259.65149
Olischläger, N.; Rumpf, M.
5
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
Finite volume method on moving surfaces. Zbl 1374.76156
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
3
2008
A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 05291121
Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M.
1
2008
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041
Noelle, S.; Rosenbaum, W.; Rumpf, M.
4
2006
Graphics processor units: new prospects for parallel computing. Zbl 1112.68343
Rumpf, Martin; Strzodka, Robert
4
2006
Computational methods for nonlinear image registration. Zbl 1185.92070
Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian
3
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.
43
2004
A variational approach to nonrigid morphological image registration. Zbl 1063.49013
Droske, M.; Rumpf, M.
41
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.
26
2004
Axioms and variational problems in surface parameterization. Zbl 1069.65547
Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin
4
2004
Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058
Strzodka, R.; Droske, M.; Rumpf, M.
3
2004
On generalized mean curvature flow in surface processing. Zbl 1035.53091
Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin
8
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
11
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.
3
2002
Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041
Grün, Günther; Rumpf, Martin
18
2001
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald; Rumpf, Martin; Weikard, Ulrich
16
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.
3
2001
Nonlinear diffusion in graphics hardware. Zbl 1016.68155
Rumpf, M.; Strzodka, R.
2
2001
Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056
Grün, Günther; Rumpf, Martin
53
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
3
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.
22
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.
56
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.
10
1996
all top 5

Cited by 984 Authors

30 Rumpf, Martin
14 Garcke, Harald
12 Wirth, Benedikt
11 Grün, Günther
11 Harbrecht, Helmut
10 Barrett, John William
7 Nürnberg, Robert
6 Peyré, Gabriel
5 Bartels, Sören
5 Basting, Steffen
5 Bauer, Martin
5 Conti, Sergio
5 Effland, Alexander
5 Elliott, Charles M.
5 Le Guyader, Carole
5 Modersitzki, Jan
5 Neumayer, Sebastian
5 Schmitzer, Bernhard
5 Schultz, Rüdiger
5 Voigt, Axel
5 Xu, Guoliang
5 Zhang, Daoping
4 Bacani, Jerico B.
4 Bänsch, Eberhard
4 Burger, Martin
4 Chen, Chong
4 Chen, Ke
4 Dedner, Andreas S.
4 Dellnitz, Michael
4 Eppler, Karsten
4 Harfash, Akil Jassim
4 Junge, Oliver
4 Jüngel, Ansgar
4 Krauskopf, Bernd
4 Lenz, Martin O.
4 Mang, Andreas
4 Martínez-Frutos, Jesús
4 Nochetto, Ricardo Horacio
4 Oberhuber, Tomás
4 Öktem, Ozan
4 Osinga, Hinke Maria
4 Peichl, Gunther H.
4 Peschka, Dirk
4 Rabago, Julius Fergy Tiongson
4 Scherzer, Otmar
4 Schönlieb, Carola-Bibiane
4 Simon, Stefan
4 Steidl, Gabriele
3 Allaire, Grégoire
3 Auricchio, Ferdinando
3 Bastian, Peter
3 Berkels, Benjamin
3 Bertozzi, Andrea Louise
3 Biros, George
3 Bruveris, Martins
3 Chizat, Lénaïc
3 Cirak, Fehmi
3 Cuturi, Marco
3 Dambrine, Marc
3 Dapogny, Charles
3 Debroux, Noémie
3 Deckelnick, Klaus
3 Dondl, Patrick Werner
3 Du, Qiang
3 Engwer, Christian
3 Geihe, Benedict
3 Giacomelli, Lorenzo
3 Haber, Eldad
3 Hashim, Mohammed Homod
3 Haslinger, Jaroslav
3 Hömberg, Dietmar
3 Hornung, Peter
3 Hughes, Thomas J. R.
3 Kessler, Mathieu
3 Kim, Junseok
3 Kress, Rainer
3 Lowengrub, John Samuel
3 Lu, Jianfeng
3 Lui, Lok Ming
3 Mantas, José Miguel
3 Mikula, Karol
3 Morigi, Serena
3 Morin, Pedro
3 Osher, Stanley Joel
3 Periago, Francisco
3 Pock, Thomas
3 Reali, Alessandro
3 Roma, Alexandre Megiorin
3 Seck, Diaraf
3 Styles, Vanessa
3 Van Brummelen, Harald
3 Vialard, François-Xavier
3 Wagner, Marcus M.
3 Wardetzky, Max
3 Yang, Haizhao
2 Agosti, Abramo
2 Alahyane, Mohamed
2 Almi, Stefano
2 Arsent’eva, E. P.
2 Azegami, Hideyuki
...and 884 more Authors
all top 5

Cited in 146 Serials

44 Journal of Computational Physics
33 Computer Methods in Applied Mechanics and Engineering
23 SIAM Journal on Imaging Sciences
19 Mathematics of Computation
19 Journal of Scientific Computing
18 Journal of Mathematical Imaging and Vision
17 Numerische Mathematik
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computers & Mathematics with Applications
10 Computer Aided Geometric Design
9 Journal of Computational and Applied Mathematics
8 SIAM Journal on Scientific Computing
7 SIAM Journal on Numerical Analysis
7 International Journal of Computer Vision
6 SIAM Journal on Control and Optimization
6 Applied Numerical Mathematics
6 Calculus of Variations and Partial Differential Equations
5 Inverse Problems
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Computational Mechanics
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Foundations of Computational Mathematics
4 Archive for Rational Mechanics and Analysis
4 Journal of Engineering Mathematics
4 Journal of Fluid Mechanics
4 Mathematical Methods in the Applied Sciences
4 Physica D
4 SIAM Journal on Optimization
4 Computational Optimization and Applications
4 Advances in Computational Mathematics
4 Chaos
4 Nonlinear Analysis. Real World Applications
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 Applied Mathematics and Optimization
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Kybernetika
3 Applications of Mathematics
3 International Journal of Computer Mathematics
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 Computing and Visualization in Science
3 Computational Methods in Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Multiscale Modeling & Simulation
3 SMAI Journal of Computational Mathematics
2 Applicable Analysis
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 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 Communications in Partial Differential Equations
2 Pattern Recognition
2 SIAM Journal on Applied Mathematics
2 SIAM Review
2 Mathematical Programming. Series A. Series B
2 Journal of Nonlinear Science
2 Journal of Mathematical Sciences (New York)
2 Numerical Linear Algebra with Applications
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 GAMM-Mitteilungen
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 Journal of Geometric Mechanics
2 Set-Valued and Variational Analysis
2 Journal of Theoretical Biology
2 Journal of Computational Dynamics
2 SIAM/ASA Journal on Uncertainty Quantification
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 Calcolo
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Optimal Control Applications & Methods
1 Zeitschrift für Analysis und ihre Anwendungen
...and 46 more Serials
all top 5

Cited in 39 Fields

298 Numerical analysis (65-XX)
195 Partial differential equations (35-XX)
124 Calculus of variations and optimal control; optimization (49-XX)
101 Fluid mechanics (76-XX)
97 Mechanics of deformable solids (74-XX)
73 Computer science (68-XX)
65 Information and communication theory, circuits (94-XX)
47 Biology and other natural sciences (92-XX)
32 Dynamical systems and ergodic theory (37-XX)
30 Differential geometry (53-XX)
27 Operations research, mathematical programming (90-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Probability theory and stochastic processes (60-XX)
12 Systems theory; control (93-XX)
11 Ordinary differential equations (34-XX)
11 Optics, electromagnetic theory (78-XX)
8 Statistics (62-XX)
6 Functional analysis (46-XX)
5 Potential theory (31-XX)
4 Real functions (26-XX)
4 Measure and integration (28-XX)
4 Functions of a complex variable (30-XX)
4 Integral equations (45-XX)
4 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Operator theory (47-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Difference and functional equations (39-XX)
2 Mechanics of particles and systems (70-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year