Edit Profile Desbrun, Mathieu Compute Distance To: Compute Author ID: desbrun.mathieu Published as: Desbrun, M.; Desbrun, Mathieu External Links: MGP · Wikidata Documents Indexed: 30 Publications since 2001 all top 5 Co-Authors 1 single-authored 9 Tong, Yiying 7 Marsden, Jerrold Eldon 5 Mullen, Patrick 4 De Goes, Fernando 4 Huang, Jin 4 Kanso, Eva Adnan 4 Pavlov, Dmitry V. 3 Bao, Hujun 3 Ratiu, Tudor Stefan 2 Alliez, Pierre 2 Barr, Alan H. 2 Budninskiy, Max 2 Gawlik, Evan S. 2 Gay-Balmaz, François 2 Jiang, Tengfei 2 Meyer, Mark J. 2 Schröder, Peter 1 Abdelaziz, Ameera 1 Aragón, Alejandro M. 1 Arroyo, Marino 1 Bloch, Anthony M. 1 Cendra, Hernán 1 Chorin, Alexandre Joel 1 Cohen-Steiner, David 1 Debunne, Gilles 1 Dellnitz, Michael 1 Demoures, François 1 Durant, L. 1 Fang, Xianzhong 1 Feng, Leman 1 Fiume, Eugene L. 1 Golubitsky, Martin A. 1 Gotay, Mark J. 1 Hirani, Anil N. 1 Isenberg, Jim 1 Jacobs, Henry O. 1 Jin, Xiaogang 1 Keyfitz, Barbara Lee 1 Khodakovsky, Andrei 1 Kobilarov, Marin 1 Krishnaprasad, P.s. 1 Leok, Melvin 1 Lessig, Christian 1 Li, Siwang 1 Marsden, Alison L. 1 Mason, Gemma 1 McKenzie, Andy 1 Memari, Pooran 1 Michels, Dominik Ludewig 1 Montgomery, Richard 1 Ortiz, Michael 1 Owhadi, Houman 1 Polthier, Konrad 1 Raugel, Geneviève 1 Rufat, Dzhelil S. 1 Schaefer, Scott 1 Scheurle, Jürgen 1 Shi, Zeyun 1 Stern, Ari 1 Sukhatme, Gaurav S. 1 Wallez, Corentin 1 Warren, Joe D. 1 Weinstein, Alan David 1 Yavari, Arash 1 Yeung, Melissa 1 Yin, Gloria 1 Yoshimura, Hiroaki 1 Zeitlin, Vladimir all top 5 Serials 7 ACM Transactions on Graphics 3 Physica D 2 Journal of Computational Physics 2 Computer Aided Geometric Design 1 Computer Methods in Applied Mechanics and Engineering 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Numerical Mathematics 1 The Journal of Visualization & Computer Animation 1 Notices of the American Mathematical Society 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Graphical Models 1 Foundations of Computational Mathematics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 19 Numerical analysis (65-XX) 10 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Differential geometry (53-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 24 Publications have been cited 350 times in 289 Documents Cited by ▼ Year ▼ Discrete differential-geometry operators for triangulated 2-manifolds. Zbl 1069.53004Meyer, Mark; Desbrun, Mathieu; Schröder, Peter; Barr, Alan H. 104 2003 Barycentric coordinates for convex sets. Zbl 1124.52010Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu 41 2007 Discrete differential forms for computational modeling. Zbl 1152.58001Desbrun, Mathieu; Kanso, Eva; Tong, Yiying 31 2008 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 29 2005 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 24 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 22 2011 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 15 2015 On the geometric character of stress in continuum mechanics. Zbl 1126.74003Kanso, Eva; Arroyo, Marino; Tong, Yiying; Yavari, Arash; Marsden, Jerrold E.; Desbrun, Mathieu 13 2007 Weighted triangulations for geometry processing. Zbl 1322.68217Goes, Fernando de; Memari, Pooran; Mullen, Patrick; Desbrun, Mathieu 8 2014 Variational discretization for rotating stratified fluids. Zbl 1284.37058Desbrun, Mathieu; Gawlik, Evan S.; Gay-Balmaz, François; Zeitlin, Vladimir 8 2014 Discrete Lie advection of differential forms. Zbl 1222.35010Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 7 2011 A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S. 7 2008 Frame field generation through metric customization. Zbl 1334.68254Jiang, Tengfei; Fang, Xianzhong; Huang, Jin; Bao, Hujun; Tong, Yiying; Desbrun, Mathieu 6 2015 On the equilibrium of simplicial masonry structures. Zbl 1305.68297de Goes, Fernando; Alliez, Pierre; Owhadi, Houman; Desbrun, Mathieu 6 2013 Near-optimal connectivity encoding of 2-manifold polygon meshes. Zbl 1038.68133Khodakovsky, Andrei; Alliez, Pierre; Desbrun, Mathieu; Schröder, Peter 6 2002 \(\ell_1\)-based construction of polycube maps from complex shapes. Zbl 1322.68223Huang, Jin; Jiang, Tengfei; Shi, Zeyun; Tong, Yiying; Bao, Hujun; Desbrun, Mathieu 5 2014 Power particles: an incompressible fluid solver based on power diagrams. Zbl 1334.68276de Goes, Fernando; Wallez, Corentin; Huang, Jin; Pavlov, Dmitry; Desbrun, Mathieu 3 2015 Space-time editing of elastic motion through material optimization and reduction. Zbl 1396.65055Li, Siwang; Huang, Jin; de Goes, Fernando; Jin, Xiaogang; Bao, Hujun; Desbrun, Mathieu 3 2014 The chain collocation method: a spectrally accurate calculus of forms. Zbl 1352.65574Rufat, Dzhelil; Mason, Gemma; Mullen, Patrick; Desbrun, Mathieu 3 2014 Parallel transport unfolding: a connection-based manifold learning approach. Zbl 1425.53019Budninskiy, Max; Yin, Gloria; Feng, Leman; Tong, Yiying; Desbrun, Mathieu 2 2019 On the coupling between an ideal fluid and immersed particles. Zbl 1302.76007Jacobs, Henry O.; Ratiu, Tudor S.; Desbrun, Mathieu 2 2013 Foreword: Discrete differential geometry. Zbl 1171.65300Desbrun, Mathieu; Polthier, Konrad 2 2007 Interactive animation of cloth-like objects in virtual reality. Zbl 1009.68951Meyer, Mark; Debunne, Gilles; Desbrun, Mathieu; Barr, Alan H. 2 2001 A semi-analytical approach to molecular dynamics. Zbl 1349.65206Michels, Dominik L.; Desbrun, Mathieu 1 2015 Parallel transport unfolding: a connection-based manifold learning approach. Zbl 1425.53019Budninskiy, Max; Yin, Gloria; Feng, Leman; Tong, Yiying; Desbrun, Mathieu 2 2019 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 15 2015 Frame field generation through metric customization. Zbl 1334.68254Jiang, Tengfei; Fang, Xianzhong; Huang, Jin; Bao, Hujun; Tong, Yiying; Desbrun, Mathieu 6 2015 Power particles: an incompressible fluid solver based on power diagrams. Zbl 1334.68276de Goes, Fernando; Wallez, Corentin; Huang, Jin; Pavlov, Dmitry; Desbrun, Mathieu 3 2015 A semi-analytical approach to molecular dynamics. Zbl 1349.65206Michels, Dominik L.; Desbrun, Mathieu 1 2015 Weighted triangulations for geometry processing. Zbl 1322.68217Goes, Fernando de; Memari, Pooran; Mullen, Patrick; Desbrun, Mathieu 8 2014 Variational discretization for rotating stratified fluids. Zbl 1284.37058Desbrun, Mathieu; Gawlik, Evan S.; Gay-Balmaz, François; Zeitlin, Vladimir 8 2014 \(\ell_1\)-based construction of polycube maps from complex shapes. Zbl 1322.68223Huang, Jin; Jiang, Tengfei; Shi, Zeyun; Tong, Yiying; Bao, Hujun; Desbrun, Mathieu 5 2014 Space-time editing of elastic motion through material optimization and reduction. Zbl 1396.65055Li, Siwang; Huang, Jin; de Goes, Fernando; Jin, Xiaogang; Bao, Hujun; Desbrun, Mathieu 3 2014 The chain collocation method: a spectrally accurate calculus of forms. Zbl 1352.65574Rufat, Dzhelil; Mason, Gemma; Mullen, Patrick; Desbrun, Mathieu 3 2014 On the equilibrium of simplicial masonry structures. Zbl 1305.68297de Goes, Fernando; Alliez, Pierre; Owhadi, Houman; Desbrun, Mathieu 6 2013 On the coupling between an ideal fluid and immersed particles. Zbl 1302.76007Jacobs, Henry O.; Ratiu, Tudor S.; Desbrun, Mathieu 2 2013 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 24 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 22 2011 Discrete Lie advection of differential forms. Zbl 1222.35010Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 7 2011 Discrete differential forms for computational modeling. Zbl 1152.58001Desbrun, Mathieu; Kanso, Eva; Tong, Yiying 31 2008 A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S. 7 2008 Barycentric coordinates for convex sets. Zbl 1124.52010Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu 41 2007 On the geometric character of stress in continuum mechanics. Zbl 1126.74003Kanso, Eva; Arroyo, Marino; Tong, Yiying; Yavari, Arash; Marsden, Jerrold E.; Desbrun, Mathieu 13 2007 Foreword: Discrete differential geometry. Zbl 1171.65300Desbrun, Mathieu; Polthier, Konrad 2 2007 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 29 2005 Discrete differential-geometry operators for triangulated 2-manifolds. Zbl 1069.53004Meyer, Mark; Desbrun, Mathieu; Schröder, Peter; Barr, Alan H. 104 2003 Near-optimal connectivity encoding of 2-manifold polygon meshes. Zbl 1038.68133Khodakovsky, Andrei; Alliez, Pierre; Desbrun, Mathieu; Schröder, Peter 6 2002 Interactive animation of cloth-like objects in virtual reality. Zbl 1009.68951Meyer, Mark; Debunne, Gilles; Desbrun, Mathieu; Barr, Alan H. 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 638 Authors 11 Xu, Guoliang 10 Desbrun, Mathieu 7 Marsden, Jerrold Eldon 5 Gawlik, Evan S. 5 Gay-Balmaz, François 5 Gerritsma, Marc I. 5 Mullen, Patrick 5 Tong, Yiying 5 Yavari, Arash 4 Floater, Michael S. 4 Holm, Darryl D. 4 Kosinka, Jiří 4 Lai, Rongjie 4 Natarajan, Sundararajan 4 Pavlov, Dmitry V. 4 Siebenborn, Martin 3 Bajaj, Chandrajit L. 3 Bauer, Werner 3 De Goes, Fernando 3 Gillette, Andrew 3 Glickenstein, David 3 Gu, Xianfeng 3 Jacobs, Henry O. 3 Kim, Junseok 3 Kimmel, Ron 3 Leok, Melvin 3 Liu, Ligang 3 Mehra, Mani 3 Ober-Blöbaum, Sina 3 Rand, Alexander 3 Schulz, Volker H. 3 Seidel, Hans-Peter 3 Wachspress, Eugene L. 3 Welker, Kathrin 3 Zhang, Yongjie Jessica 2 Aflalo, Yonathan 2 Atzberger, Paul J. 2 Behera, Ratikanta 2 Belyaev, Aleksandr Vladimirovich 2 Bobenko, Alexander Ivanovich 2 Bochev, Pavel B. 2 Bonelle, Jérôme 2 Borrelli, Vincent 2 Casimiro, Ana Cristina 2 Chun, Sehun 2 Coeurjolly, David 2 Cotter, Colin John 2 Deng, Chongyang 2 Di Pietro, Daniele Antonio 2 Dong, Chenshi 2 Fochesato, Christophe 2 Gross, B. J. 2 Hildebrandt, Klaus 2 Hiptmair, Ralf 2 Hormann, Kai 2 Hu, Kangkang 2 Huang, Jin 2 Kanso, Eva Adnan 2 Kevlahan, Nicholas K.-R. 2 Kraus, Michael 2 Lachaud, Jacques-Olivier 2 Lei, Na 2 Léonetti, Marc 2 Li, Yibao 2 Llor, Antoine 2 Manzini, Gianmarco 2 Memari, Pooran 2 Mérigot, Quentin 2 Mikula, Karol 2 Mönkölä, Sanna 2 Morvan, Jean-Marie 2 Osher, Stanley Joel 2 Palha, Artur 2 Panoskaltsis, Vassilis P. 2 Perot, J. Blair 2 Potter, Michael E. 2 Räbinä, Jukka 2 Ratiu, Tudor Stefan 2 Real, Pedro 2 Rodrigo, César 2 Rossi, Tuomo 2 Schaeffer, Gilles 2 Scherpen, Jacquelien M. A. 2 Seslija, Marko 2 Shashkov, Mikhail J. 2 Soldatos, D. 2 Sze, Kam-Yim 2 Talischi, Cameron 2 Triantafyllou, Savvas P. 2 Tyranowski, Tomasz M. 2 van der Schaft, Arjan J. 2 Wang, Guozhao 2 Wardetzky, Max 2 Yun, Ana 2 Zhang, Qin 2 Zhao, Hongkai 2 Zorin, Denis N. 1 Abdelaziz, Ameera 1 Abubakar, Aria 1 Aleardi, L. Castelli ...and 538 more Authors all top 5 Cited in 105 Serials 41 Computer Aided Geometric Design 31 Journal of Computational Physics 14 Computer Methods in Applied Mechanics and Engineering 12 Computers & Mathematics with Applications 9 ACM Transactions on Graphics 7 International Journal for Numerical Methods in Engineering 7 SIAM Journal on Scientific Computing 6 Journal of Scientific Computing 6 Foundations of Computational Mathematics 5 Journal of Mathematical Physics 5 Physica D 5 Advances in Computational Mathematics 4 Acta Mechanica 4 Discrete & Computational Geometry 4 Journal of Mathematical Imaging and Vision 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Mathematics and Computation 3 Journal of Nonlinear Science 3 International Journal of Computer Vision 3 Actes des Rencontres du C.I.R.M. 2 Journal of Fluid Mechanics 2 Journal of Geometry and Physics 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Computational Mechanics 2 International Journal of Robust and Nonlinear Control 2 Applied Mathematics. Series B (English Edition) 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 International Journal of Computational Methods 2 Science in China. Series F 2 Journal of Zhejiang University. Science A 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Geometric Mechanics 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Physics Communications 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Automatica 1 BIT 1 Calcolo 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Synthese 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Graphs and Combinatorics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Intelligent & Robotic Systems 1 Computational Geometry 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Pattern Recognition 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Celestial Mechanics and Dynamical Astronomy 1 SIAM Journal on Optimization 1 Advances in Engineering Software 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 Journal of Inverse and Ill-Posed Problems 1 Annals of Mathematics and Artificial Intelligence 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Computational Geosciences 1 Journal of Zhejiang University. Science 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Signal, Image and Video Processing 1 Inverse Problems and Imaging 1 Electronic Journal of Statistics 1 Algorithms 1 GEM - International Journal on Geomathematics ...and 5 more Serials all top 5 Cited in 44 Fields 179 Numerical analysis (65-XX) 48 Computer science (68-XX) 42 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 35 Differential geometry (53-XX) 35 Mechanics of deformable solids (74-XX) 25 Global analysis, analysis on manifolds (58-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 13 Mechanics of particles and systems (70-XX) 10 Approximations and expansions (41-XX) 10 Convex and discrete geometry (52-XX) 10 Optics, electromagnetic theory (78-XX) 8 Algebraic topology (55-XX) 7 Systems theory; control (93-XX) 6 Functions of a complex variable (30-XX) 6 Statistics (62-XX) 5 Manifolds and cell complexes (57-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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