Edit Profile Voigt, Axel Compute Distance To: Compute Author ID: voigt.axel Published as: Voigt, A.; Voigt, Axel Homepage: http://tu-dresden.de/die_tu_dresden/fakultaeten/fakultaet_mathematik_und_naturwi... External Links: MGP · Wikidata · ORCID · ResearchGate · dblp Documents Indexed: 74 Publications since 2001, including 2 Books all top 5 Co-Authors 5 single-authored 13 Haußer, Frank 12 Lowengrub, John Samuel 12 Rätz, Andreas 7 Praetorius, Simon 6 Nitschke, Ingo 6 Reuther, Sebastian 5 Aland, Sebastian 5 Stöcker, Christina 4 Marth, Wieland 3 Backofen, Rainer 3 Burger, Martin 3 Li, Bo 3 Li, Shuwang 3 Nestler, Michael 3 Ribalta, Angel 3 Witkowski, Thomas 2 Balykov, Lev 2 Bänsch, Eberhard 2 Hoffmann, Karl-Heinz 2 Li, Xiangrong 2 Ling, Siqi 2 Rumpf, Martin 2 Teigen, Knut Erik 2 Vey, Simon 2 Weichmann, Christian 2 Wise, Steven M. 1 Andreas, Rätz 1 Berkels, Benjamin 1 Blank, Luise 1 Chalupecký, Vladimír 1 Clarenz, Ulrich 1 Eck, Christof 1 Egerer, Sabine 1 Emmerich, Heike 1 Franz, Sebastian 1 Garcke, Harald 1 Gärtner, Roland 1 Gräf, Manuel 1 Hanssen, Nils 1 Hoffman, Karl-Heinz 1 Jabbour, Michel E. 1 Janssen, Sandra 1 Krishnamoorthy, Ganeshram 1 Lakkis, Omar 1 Landsberg, Christoph 1 Löwen, Hartmut 1 Metzger, Michael 1 Otto, Felix 1 Padberg-Gehle, Kathrin 1 Penzler, Patrick 1 Potts, Daniel 1 Rasche, Sandra 1 Röger, Matthias 1 Roos, Hans-Görg 1 Rump, Tobias 1 Salvalaglio, Marco 1 Sarbu, Lavinia 1 Smereka, Peter 1 Sohn, Jinsun 1 Song, Peng 1 Srisupattarawanit, Tarin 1 Stenger, Florian 1 Styles, Vanessa 1 Torabi, Solmaz 1 Tseng, Yu-Hau 1 Wang, Fan 1 Weikard, Ulrich 1 Wensch, Jörg 1 Wulff-Molder, Dirk 1 Xu, Jianjun all top 5 Serials 8 Journal of Computational Physics 6 Multiscale Modeling & Simulation 4 Journal of Fluid Mechanics 4 Communications in Mathematical Sciences 3 Journal of Scientific Computing 2 Applicable Analysis 2 Nonlinearity 2 SIAM Journal on Scientific Computing 2 Computational Methods in Applied Mathematics 2 Oberwolfach Reports 1 Journal of Mathematical Biology 1 Computing 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Physics of Fluids 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 CMES. Computer Modeling in Engineering & Sciences 1 International Journal of Numerical Analysis and Modeling 1 FDMP. Fluid Dynamics & Materials Processing 1 ISNM. International Series of Numerical Mathematics 1 Communications in Computational Physics 1 SIAM Journal on Imaging Sciences 1 Symmetry 1 International Journal of Biomathematics and Biostatistics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 41 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 26 Fluid mechanics (76-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Computer science (68-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 60 Publications have been cited 552 times in 314 Documents Cited by ▼ Year ▼ A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel 54 2011 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 46 2009 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092Rätz, Andreas; Voigt, Axel 45 2006 A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel 37 2009 A new phase-field model for strongly anisotropic systems. Zbl 1186.80014Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven 34 2009 Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel 18 2014 A finite element approach to incompressible two-phase flow on manifolds. Zbl 1275.76162Nitschke, I.; Voigt, A.; Wensch, J. 18 2012 Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200Aland, S.; Lowengrub, J.; Voigt, A. 18 2010 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035Rätz, Andreas; Ribalta, Angel; Voigt, Axel 18 2006 Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S. 17 2010 Phase-field approaches to structural topology optimization. Zbl 1356.49044Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel 14 2012 Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A. 13 2015 The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289Reuther, S.; Voigt, A. 12 2015 Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 11 2017 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 11 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 10 2008 A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel 10 2007 Finite element method for epitaxial growth with attachment–detachment kinetics. Zbl 1100.82024Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel 10 2004 Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033Marth, Wieland; Voigt, Axel 9 2014 A continuum model of colloid-stabilized interfaces. Zbl 1308.76159Aland, Sebastian; Lowengrub, John; Voigt, Axel 9 2011 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315Rätz, Andreas; Voigt, A. 9 2007 A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112Haußer, Frank; Voigt, Axel 8 2007 Orientational order on surfaces: the coupling of topology, geometry, and dynamics. Zbl 1391.35335Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel 7 2018 AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel 7 2008 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 Development and analysis of a block-preconditioner for the phase-field crystal equation. Zbl 1320.82059Praetorius, Simon; Voigt, Axel 6 2015 A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128Landsberg, Christoph; Voigt, Axel 6 2010 Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441Lowengrub, J. S.; Xu, J-J.; Voigt, A. 6 2007 Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel 5 2013 A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel 5 2012 A numerical scheme for regularized anisotropic curve shortening flow. Zbl 1114.74057Haußer, Frank; Voigt, Axel 5 2006 Margination of white blood cells: a computational approach by a hydrodynamic phase field model. Zbl 1382.76304Marth, Wieland; Aland, Sebastian; Voigt, Axel 4 2016 A continuous approach to discrete ordering on \(\mathbb{S}^2\). Zbl 1219.35341Backofen, Rainer; Gräf, Manuel; Potts, Daniel; Praetorius, Simon; Voigt, Axel; Witkowski, Thomas 4 2011 Geodesic evolution laws – a level-set approach. Zbl 1179.35172Stöcker, Christina; Voigt, Axel 4 2008 Numerical simulation of industrial crystal growth. Zbl 1009.82001Voigt, Axel 4 2001 Convexity splitting in a phase field model for surface diffusion. Zbl 07017833Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 3 2019 Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243Reuther, Sebastian; Voigt, Axel 3 2018 Transfer operator-based extraction of coherent features on surfaces. Zbl 1370.76140Padberg-Gehle, Kathrin; Reuther, Sebastian; Praetorius, Simon; Voigt, Axel 3 2017 Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326Reuther, Sebastian; Voigt, Axel 3 2016 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 3 2012 The influence of electric fields on nanostructures-simulation and control. Zbl 1192.78028Haußer, Frank; Rasche, Sandra; Voigt, Axel 3 2010 A level set approach to anisotropic surface evolution with free adatoms. Zbl 1171.35404Stöcker, Christina; Voigt, Axel 3 2008 Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107Vey, S.; Voigt, A. 3 2007 A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054Hausser, Frank; Voigt, Axel 3 2005 An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel 2 2016 Control of nanostructures through electric fields and related free boundary problems. Zbl 1356.49070Haußer, Frank; Janssen, Sandra; Voigt, Axel 2 2012 Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420Li, Shuwang; Lowengrub, John; Voigt, Axel 2 2012 Finite element-based level set methods for higher order flows. Zbl 1203.76111Burger, Martin; Stöcker, Christina; Voigt, Axel 2 2008 A step-flow model for the heteroepitaxial growth of strained, substitutional, binary alloy films with phase segregation. I: Theory. Zbl 1254.74093Haußer, Frank; Jabbour, Michel E.; Voigt, Axel 2 2007 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 2 2005 Stability of a circular epitaxial island. Zbl 1086.35109Li, Bo; Rätz, Andreas; Voigt, Axel 2 2004 Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherically symmetric domains. Zbl 1027.35043Voigt, Axel; Hoffman, Karl-Heinz 2 2002 Fluid deformable surfaces. Zbl 1430.76053Voigt, Axel 1 2019 Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; Voigt, Axel 1 2018 Hybrid parallelization of an adaptive finite element code. Zbl 1195.65135Voigt, Axel; Witkowski, Thomas 1 2010 A \(2+1\)-dimensional terrace-step-kink model for epitaxial growth far from equilibrium. Zbl 1233.35204Balykov, Lev; Voigt, Axel 1 2006 A finite element framework for Burton-Cabrera-Frank equation. Zbl 1179.80049Haußer, Frank; Voigt, Axel 1 2005 Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105Bänsch, Eberhard; Hausser, Frank; Voigt, Axel 1 2005 Multiscale modelling in epitaxial growth. Zbl 1077.82500Voigt, Axel (ed.) 1 2004 The radiosity equation for solving global heat transfer in industrial furnaces. Zbl 1054.80014Voigt, A.; Hanssen, N.; Weichmann, C. 1 2004 Convexity splitting in a phase field model for surface diffusion. Zbl 07017833Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 3 2019 Fluid deformable surfaces. Zbl 1430.76053Voigt, Axel 1 2019 Orientational order on surfaces: the coupling of topology, geometry, and dynamics. Zbl 1391.35335Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel 7 2018 Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243Reuther, Sebastian; Voigt, Axel 3 2018 Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; Voigt, Axel 1 2018 Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 11 2017 Transfer operator-based extraction of coherent features on surfaces. Zbl 1370.76140Padberg-Gehle, Kathrin; Reuther, Sebastian; Praetorius, Simon; Voigt, Axel 3 2017 Margination of white blood cells: a computational approach by a hydrodynamic phase field model. Zbl 1382.76304Marth, Wieland; Aland, Sebastian; Voigt, Axel 4 2016 Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326Reuther, Sebastian; Voigt, Axel 3 2016 An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel 2 2016 Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A. 13 2015 The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289Reuther, S.; Voigt, A. 12 2015 Development and analysis of a block-preconditioner for the phase-field crystal equation. Zbl 1320.82059Praetorius, Simon; Voigt, Axel 6 2015 Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel 18 2014 Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033Marth, Wieland; Voigt, Axel 9 2014 Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel 5 2013 A finite element approach to incompressible two-phase flow on manifolds. Zbl 1275.76162Nitschke, I.; Voigt, A.; Wensch, J. 18 2012 Phase-field approaches to structural topology optimization. Zbl 1356.49044Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel 14 2012 A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel 5 2012 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 3 2012 Control of nanostructures through electric fields and related free boundary problems. Zbl 1356.49070Haußer, Frank; Janssen, Sandra; Voigt, Axel 2 2012 Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420Li, Shuwang; Lowengrub, John; Voigt, Axel 2 2012 A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel 54 2011 A continuum model of colloid-stabilized interfaces. Zbl 1308.76159Aland, Sebastian; Lowengrub, John; Voigt, Axel 9 2011 A continuous approach to discrete ordering on \(\mathbb{S}^2\). Zbl 1219.35341Backofen, Rainer; Gräf, Manuel; Potts, Daniel; Praetorius, Simon; Voigt, Axel; Witkowski, Thomas 4 2011 Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200Aland, S.; Lowengrub, J.; Voigt, A. 18 2010 Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S. 17 2010 A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128Landsberg, Christoph; Voigt, Axel 6 2010 The influence of electric fields on nanostructures-simulation and control. Zbl 1192.78028Haußer, Frank; Rasche, Sandra; Voigt, Axel 3 2010 Hybrid parallelization of an adaptive finite element code. Zbl 1195.65135Voigt, Axel; Witkowski, Thomas 1 2010 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 46 2009 A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel 37 2009 A new phase-field model for strongly anisotropic systems. Zbl 1186.80014Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven 34 2009 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 11 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 10 2008 AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel 7 2008 Geodesic evolution laws – a level-set approach. Zbl 1179.35172Stöcker, Christina; Voigt, Axel 4 2008 A level set approach to anisotropic surface evolution with free adatoms. Zbl 1171.35404Stöcker, Christina; Voigt, Axel 3 2008 Finite element-based level set methods for higher order flows. Zbl 1203.76111Burger, Martin; Stöcker, Christina; Voigt, Axel 2 2008 A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel 10 2007 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315Rätz, Andreas; Voigt, A. 9 2007 A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112Haußer, Frank; Voigt, Axel 8 2007 Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441Lowengrub, J. S.; Xu, J-J.; Voigt, A. 6 2007 Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107Vey, S.; Voigt, A. 3 2007 A step-flow model for the heteroepitaxial growth of strained, substitutional, binary alloy films with phase segregation. I: Theory. Zbl 1254.74093Haußer, Frank; Jabbour, Michel E.; Voigt, Axel 2 2007 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092Rätz, Andreas; Voigt, Axel 45 2006 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035Rätz, Andreas; Ribalta, Angel; Voigt, Axel 18 2006 A numerical scheme for regularized anisotropic curve shortening flow. Zbl 1114.74057Haußer, Frank; Voigt, Axel 5 2006 A \(2+1\)-dimensional terrace-step-kink model for epitaxial growth far from equilibrium. Zbl 1233.35204Balykov, Lev; Voigt, Axel 1 2006 A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054Hausser, Frank; Voigt, Axel 3 2005 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 2 2005 A finite element framework for Burton-Cabrera-Frank equation. Zbl 1179.80049Haußer, Frank; Voigt, Axel 1 2005 Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105Bänsch, Eberhard; Hausser, Frank; Voigt, Axel 1 2005 Finite element method for epitaxial growth with attachment–detachment kinetics. Zbl 1100.82024Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel 10 2004 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 Stability of a circular epitaxial island. Zbl 1086.35109Li, Bo; Rätz, Andreas; Voigt, Axel 2 2004 Multiscale modelling in epitaxial growth. Zbl 1077.82500Voigt, Axel (ed.) 1 2004 The radiosity equation for solving global heat transfer in industrial furnaces. Zbl 1054.80014Voigt, A.; Hanssen, N.; Weichmann, C. 1 2004 Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherically symmetric domains. Zbl 1027.35043Voigt, Axel; Hoffman, Karl-Heinz 2 2002 Numerical simulation of industrial crystal growth. Zbl 1009.82001Voigt, Axel 4 2001 all cited Publications top 5 cited Publications all top 5 Cited by 557 Authors 34 Voigt, Axel 20 Lowengrub, John Samuel 10 Garcke, Harald 9 Miranville, Alain M. 8 Aland, Sebastian 7 Lai, Mingchih 7 Rätz, Andreas 6 Elliott, Charles M. 6 Haußer, Frank 6 Li, Shuwang 6 Nitschke, Ingo 6 Nürnberg, Robert 6 Wise, Steven M. 5 Barrett, John W. 5 Kim, Junseok 5 Kou, Jisheng 5 Olshanskii, Maxim A. 5 Praetorius, Simon 5 Reuther, Sebastian 5 Styles, Vanessa 5 Sun, Shuyu 5 Tornberg, Anna-Karin 4 Abels, Helmut 4 Burger, Martin 4 Druet, Pierre-Étienne 4 Morini, Massimiliano 4 Reusken, Arnold 4 Ristinmaa, Matti 4 Stinner, Bjorn 4 Wallin, Mathias 4 Wang, Qi 3 Arroyo, Marino 3 Bao, Weizhu 3 Blank, Luise 3 Cherfils, Laurence 3 Du, Qiang 3 Fusco, Nicola 3 Guo, Zhenlin 3 Lam, Kei Fong 3 Li, Yibao 3 Liu, Chun 3 Marth, Wieland 3 Millán, Daniel 3 Münch, Andreas 3 Nestler, Michael 3 Röger, Matthias 3 Schlottbom, Matthias 3 Shen, Jie 3 Tavakoli, Rouhollah 3 Wang, Cheng 3 Wang, Xiaoqiang 3 Zhao, Jia 3 Zhao, Quan 2 Arias, Irene 2 Ba, Yan 2 Bänsch, Eberhard 2 Biros, George 2 Bothe, Dieter 2 Bruchon, Julien 2 Caroccia, Marco 2 Cermelli, Paolo 2 Chen, Chuanjun 2 Chen, Ying 2 Cristoferi, Riccardo 2 Deckelnick, Klaus 2 Dede, Luca 2 Drapier, Sylvain 2 Duan, Ning 2 Elsey, Matthew 2 Elvetun, Ole Løseth 2 Feng, Wenqiang 2 Fonseca, Irene 2 Ganapathysubramanian, Baskar 2 Gibou, Frédéric 2 Gómez, Héctor J. 2 Gong, Yuezheng 2 Gu, Rui 2 Guittet, Arthur 2 Gunzburger, Max D. 2 Hansbo, Peter 2 Heida, Martin 2 Hu, Wei-Fan 2 Hu, Yang 2 Jabbour, Michel E. 2 Jankuhn, Thomas 2 Jiang, Wei 2 Ju, Lili 2 Julin, Vesa 2 Khenner, Mikhail 2 Kim, Yongsam 2 Kutter, Michael 2 Lantarón, Sagrario 2 Larson, Mats G. 2 Leoni, Giovanni 2 Leung, Shingyu 2 Li, Xiaofan 2 Lin, Ping 2 Ling, Siqi 2 Liu, Haihu 2 Llanas, Bernardo ...and 457 more Authors all top 5 Cited in 101 Serials 61 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 15 Journal of Fluid Mechanics 12 Journal of Scientific Computing 9 SIAM Journal on Scientific Computing 8 Computers and Fluids 6 International Journal for Numerical Methods in Engineering 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Applied Mathematics 6 Multiscale Modeling & Simulation 5 Mathematical Methods in the Applied Sciences 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Biology 4 Mathematics of Computation 4 Numerische Mathematik 4 SIAM Journal on Control and Optimization 4 Advances in Computational Mathematics 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 Applications of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Archives of Computational Methods in Engineering 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Bulletin of Mathematical Biology 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Physics of Fluids 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Interfaces and Free Boundaries 2 Computational Methods in Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters B 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Czechoslovak Mathematical Journal 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 ACM Transactions on Graphics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 NoDEA. Nonlinear Differential Equations and Applications 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 International Journal of Computational Methods 1 Acta Numerica 1 Cubo 1 Optimization Letters 1 Inverse Problems and Imaging 1 International Journal for Numerical Methods in Biomedical Engineering 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Journal of Modern Methods in Numerical Mathematics 1 Journal of Computational Dynamics 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 Philosophical Transactions A. Royal Society of London ...and 1 more Serials all top 5 Cited in 32 Fields 154 Numerical analysis (65-XX) 133 Fluid mechanics (76-XX) 128 Partial differential equations (35-XX) 72 Mechanics of deformable solids (74-XX) 38 Biology and other natural sciences (92-XX) 29 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-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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