Edit Profile (opens in new tab) Plank, Gernot Co-Author Distance Author ID: plank.gernot Published as: Plank, Gernot; Plank, G. Documents Indexed: 25 Publications since 2001, including 5 Additional arXiv Preprints Co-Authors: 60 Co-Authors with 25 Joint Publications 910 Co-Co-Authors all top 5 Co-Authors 0 single-authored 8 Augustin, Christoph M. 6 Haase, Gundolf 6 Kunisch, Karl 5 Gsell, Matthias A. F. 5 Karabelas, Elias 4 Caforio, Federica 4 Grandits, Thomas 4 Prassl, Anton J. 3 Nagaiah, Chamakuri 3 Neic, Aurel 3 Pezzuto, Simone 3 Pock, Thomas 3 Vigmond, Edward J. 2 Chamakuri, Nagaiah 2 Krause, Rolf H. 2 Liebmann, Manfred 2 Marx, Laura 2 Niederer, Steven A. 2 Pail, Roland 1 Alastruey, Jordi 1 Bauer, S. 1 Bayer, Jason D. 1 Bernabeu, Miguel O. 1 Bishop, Martin J. 1 Bollensdorff, Christian 1 Burton, Rebecca A. B. 1 Effland, Alexander 1 Eriksson, T. S. E. 1 Fuchsberger, Jana 1 Garny, Alan 1 Gavaghan, David J. 1 Gillette, Karli 1 Grau, Vicente 1 Hales, Patrick 1 Holzapfel, Gerhard Alfred 1 Kohl, Peter 1 Kuehne, Titus 1 Longobardi, Stefano 1 Lubrecht, Jolijn M. 1 Lumens, Joost 1 Mahmood, Fahd 1 Mansoori, Tahir 1 Mason, Fleur 1 Niestrawska, Justyna A. 1 Pagani, Stefano 1 Prinzen, Frits W. 1 Quarteroni, Alfio M. 1 Rajani, Ronak 1 Razeghi, Orod 1 Regazzoni, Francesco 1 Rodero, Cristóbal 1 Rodríguez, Blanca 1 Rund, Armin 1 Schneider, Jürgen E. 1 Schuh, Wolf-Dieter 1 Strocchi, Marina 1 Toth-Gayor, Gabor 1 Trautmann, Philip 1 Weber Dos Santos, Rodrigo 1 Willemen, Erik all top 5 Serials 3 Journal of Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Biology 2 Computational Mechanics 2 Journal of Geodesy 1 Mathematical Biosciences 1 Applied Numerical Mathematics 1 Computational Optimization and Applications 1 Mathematics and Mechanics of Solids 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Parallel, Emergent and Distributed Systems 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 16 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 2 Geophysics (86-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 159 times in 113 Documents Cited by ▼ Year ▼ Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation. Zbl 1349.92032 Augustin, Christoph M.; Neic, Aurel; Liebmann, Manfred; Prassl, Anton J.; Niederer, Steven A.; Haase, Gundolf; Plank, Gernot 29 2016 Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Zbl 1226.49024 Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot 25 2011 Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Zbl 1319.92021 Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot 19 2013 Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014 Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A. 19 2013 Generation of histo-anatomically representative models of the individual heart: tools and application. Zbl 1185.92064 Plank, Gernot; Burton, Rebecca A. B.; Hales, Patrick; Bishop, Martin; Mansoori, Tahir; Bernabeu, Miguel O.; Garny, Alan; Prassl, Anton J.; Bollensdorff, Christian; Mason, Fleur; Mahmood, Fahd; Rodriguez, Blanca; Grau, Vicente; Schneider, Jürgen E.; Gavaghan, David; Kohl, Peter 12 2009 Personalization of electro-mechanical models of the pressure-overloaded left ventricle: fitting of windkessel-type afterload models. Zbl 1470.74047 Marx, Laura; Gsell, Matthias A. F.; Rund, Armin; Caforio, Federica; Prassl, Anton J.; Toth-Gayor, Gabor; Kuehne, Titus; Augustin, Christoph M.; Plank, Gernot 10 2020 Preconditioning techniques for the bidomain equations. Zbl 1059.92019 Weber Dos Santos, Rodrigo; Plank, G.; Bauer, S.; Vigmond, E. J. 8 2005 On boundary stimulation and optimal boundary control of the bidomain equations. Zbl 1308.92013 Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot 6 2013 Assessment of three numerical solution strategies for gravity field recovery from GOCE satellite gravity gradiometry implemented on a parallel platform. Zbl 1036.86508 Pail, R.; Plank, G. 6 2002 A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation. Zbl 1507.74227 Augustin, Christoph M.; Gsell, Matthias A. F.; Karabelas, Elias; Willemen, Erik; Prinzen, Frits W.; Lumens, Joost; Vigmond, Edward J.; Plank, Gernot 6 2021 An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity. Zbl 1507.74483 Karabelas, Elias; Gsell, Matthias A. F.; Haase, Gundolf; Plank, Gernot; Augustin, Christoph M. 5 2022 Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics. Zbl 1492.74138 Karabelas, Elias; Haase, Gundolf; Plank, Gernot; Augustin, Christoph M. 4 2020 Inverse localization of earliest cardiac activation sites from activation maps based on the viscous eikonal equation. Zbl 1429.49045 Kunisch, Karl; Neic, Aurel; Plank, Gernot; Trautmann, Philip 3 2019 An inverse eikonal method for identifying ventricular activation sequences from epicardial activation maps. Zbl 07507252 Grandits, Thomas; Gillette, Karli; Neic, Aurel; Bayer, Jason; Vigmond, Edward; Pock, Thomas; Plank, Gernot 3 2020 A Hilbert-order multiplication scheme for unstructured sparse matrices. Zbl 1122.65037 Haase, Gundolf; Liebmann, Manfred; Plank, Gernot 2 2007 Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics. Zbl 1320.92038 Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot 1 2015 Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration. Zbl 07536766 Marx, Laura; Niestrawska, Justyna A.; Gsell, Matthias A. F.; Caforio, Federica; Plank, Gernot; Augustin, Christoph M. 1 2022 An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity. Zbl 1507.74483 Karabelas, Elias; Gsell, Matthias A. F.; Haase, Gundolf; Plank, Gernot; Augustin, Christoph M. 5 2022 Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration. Zbl 07536766 Marx, Laura; Niestrawska, Justyna A.; Gsell, Matthias A. F.; Caforio, Federica; Plank, Gernot; Augustin, Christoph M. 1 2022 A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation. Zbl 1507.74227 Augustin, Christoph M.; Gsell, Matthias A. F.; Karabelas, Elias; Willemen, Erik; Prinzen, Frits W.; Lumens, Joost; Vigmond, Edward J.; Plank, Gernot 6 2021 Personalization of electro-mechanical models of the pressure-overloaded left ventricle: fitting of windkessel-type afterload models. Zbl 1470.74047 Marx, Laura; Gsell, Matthias A. F.; Rund, Armin; Caforio, Federica; Prassl, Anton J.; Toth-Gayor, Gabor; Kuehne, Titus; Augustin, Christoph M.; Plank, Gernot 10 2020 Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics. Zbl 1492.74138 Karabelas, Elias; Haase, Gundolf; Plank, Gernot; Augustin, Christoph M. 4 2020 An inverse eikonal method for identifying ventricular activation sequences from epicardial activation maps. Zbl 07507252 Grandits, Thomas; Gillette, Karli; Neic, Aurel; Bayer, Jason; Vigmond, Edward; Pock, Thomas; Plank, Gernot 3 2020 Inverse localization of earliest cardiac activation sites from activation maps based on the viscous eikonal equation. Zbl 1429.49045 Kunisch, Karl; Neic, Aurel; Plank, Gernot; Trautmann, Philip 3 2019 Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation. Zbl 1349.92032 Augustin, Christoph M.; Neic, Aurel; Liebmann, Manfred; Prassl, Anton J.; Niederer, Steven A.; Haase, Gundolf; Plank, Gernot 29 2016 Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics. Zbl 1320.92038 Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot 1 2015 Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Zbl 1319.92021 Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot 19 2013 Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014 Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A. 19 2013 On boundary stimulation and optimal boundary control of the bidomain equations. Zbl 1308.92013 Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot 6 2013 Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Zbl 1226.49024 Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot 25 2011 Generation of histo-anatomically representative models of the individual heart: tools and application. Zbl 1185.92064 Plank, Gernot; Burton, Rebecca A. B.; Hales, Patrick; Bishop, Martin; Mansoori, Tahir; Bernabeu, Miguel O.; Garny, Alan; Prassl, Anton J.; Bollensdorff, Christian; Mason, Fleur; Mahmood, Fahd; Rodriguez, Blanca; Grau, Vicente; Schneider, Jürgen E.; Gavaghan, David; Kohl, Peter 12 2009 A Hilbert-order multiplication scheme for unstructured sparse matrices. Zbl 1122.65037 Haase, Gundolf; Liebmann, Manfred; Plank, Gernot 2 2007 Preconditioning techniques for the bidomain equations. Zbl 1059.92019 Weber Dos Santos, Rodrigo; Plank, G.; Bauer, S.; Vigmond, E. J. 8 2005 Assessment of three numerical solution strategies for gravity field recovery from GOCE satellite gravity gradiometry implemented on a parallel platform. Zbl 1036.86508 Pail, R.; Plank, G. 6 2002 all cited Publications top 5 cited Publications all top 5 Cited by 234 Authors 15 Quarteroni, Alfio M. 14 Dede’, Luca 14 Kunisch, Karl 11 Chamakuri, Nagaiah 11 Plank, Gernot 8 Regazzoni, Francesco 7 Augustin, Christoph M. 7 Salvador, Matteo 7 Scacchi, Simone 7 Vergara, Christian 6 Pavarino, Luca Franco 5 Bucelli, Michele 5 Gsell, Matthias A. F. 4 Bendahmane, Mostafa 4 Kuhl, Ellen 4 Ruiz-Baier, Ricardo 3 Africa, Pasquale Claudio 3 Baur, Oliver 3 Caforio, Federica 3 Fedele, Marco 3 Gizzi, Alessio 3 Göktepe, Serdar 3 Götschel, Sebastian 3 Haase, Gundolf 3 Karabelas, Elias 3 Manzoni, Andrea 3 Nagaiah, Chamakuri 3 Piersanti, Roberto 3 Veneziani, Alessandro 3 Wagner, Marcus M. 3 Weiser, Martin 2 Ainseba, Bedr’Eddine 2 Austen, Gerrit 2 Barnafi, Nicolás A. 2 Barone, Alessandro 2 Bayer, Jason D. 2 Breiten, Tobias 2 Bueno-Orovio, Alfonso 2 Colli Franzone, Piero 2 Corno, Antonio F. 2 de Tullio, Marco Donato 2 Fenton, Flavio H. 2 Gerbi, Antonello 2 Kügler, Philipp 2 Liu, Jun 2 Marx, Laura 2 Neic, Aurel 2 Ng, Kin Wei 2 Nitti, Alessandro 2 Pereverzev, Sergei V. 2 Prassl, Anton J. 2 Reali, Alessandro 2 Rohanin, Ahmad 2 Rund, Armin 2 Vigmond, Edward J. 2 Weber Dos Santos, Rodrigo 2 Xiao, Mingqing 2 Zampini, Stefano 1 Aguado-Sierra, J. 1 Alastruey, Jordi 1 Alkhatib, Hamza 1 Amoignon, Olivier 1 Antonuccio, M. N. 1 Arthurs, Christopher J. 1 Azzolin, Luca 1 Barocas, Victor H. 1 Bauer, Frank 1 Beaumont, Jacques 1 Belhamadia, Youssef 1 Belmiloudi, Aziz 1 Bersie-Larson, Lauren M. 1 Bishop, Martin J. 1 Bisseling, Rob H. 1 Bonomi, Diana 1 Borzì, Alfio 1 Boughaba, Soraya 1 Bourgault, Yves 1 Brown, Aaron L. 1 Burrage, Kevin 1 Cansız, Barış 1 Carlino, Michele Giuliano 1 Cartwright, Bruce 1 Casas, Eduardo 1 Celi, Simona 1 Chen, Rongliang 1 Chernyshenko, Alexey Yu. 1 Cherry, Elizabeth M. 1 Cicci, Ludovica 1 Comte, Eloïse 1 Corrado, Cesare 1 Coudière, Yves 1 Dal, Hüsnü 1 Danilov, Alexander A. 1 De Barros, Bruno Gouvêa 1 Deswal, Komal 1 Dickopf, Thomas 1 Dorfmann, Luis 1 Engwer, Christian 1 Epstein, Matthew 1 Eriksson, Thomas ...and 134 more Authors all top 5 Cited in 45 Serials 22 Computer Methods in Applied Mechanics and Engineering 11 Journal of Computational Physics 7 Computational Mechanics 4 Journal of Mathematical Biology 4 Mathematical Biosciences 4 Applied Numerical Mathematics 4 Journal of Geodesy 3 Applied Mathematics and Computation 3 Computational Optimization and Applications 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Scientific Computing 2 Nonlinear Analysis. Real World Applications 2 Computational & Mathematical Methods in Medicine 2 Mathematics in Engineering 1 Biological Cybernetics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Numerical Functional Analysis and Optimization 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Bulletin of the American Mathematical Society. New Series 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Journal of Applied Mathematics 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 GEM - International Journal on Geomathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics all top 5 Cited in 15 Fields 75 Biology and other natural sciences (92-XX) 51 Numerical analysis (65-XX) 38 Mechanics of deformable solids (74-XX) 34 Partial differential equations (35-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 12 Fluid mechanics (76-XX) 8 Systems theory; control (93-XX) 7 Geophysics (86-XX) 5 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) Citations by Year