Edit Profile (opens in new tab) Voigt, Axel Compute Distance To: Compute Author ID: voigt.axel Published as: Voigt, Axel; Voigt, A. Homepage: http://tu-dresden.de/die_tu_dresden/fakultaeten/fakultaet_mathematik_und_naturwi... External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 77 Publications since 2001, including 1 Book 3 Contributions as Editor Co-Authors: 73 Co-Authors with 75 Joint Publications 1,357 Co-Co-Authors all top 5 Co-Authors 5 single-authored 13 Hausser, Frank 12 Lowengrub, John Samuel 12 Rätz, Andreas 8 Nitschke, Ingo 8 Reuther, Sebastian 7 Praetorius, Simon 5 Aland, Sebastian 5 Nestler, Michael 5 Stöcker, Christina 4 Marth, Wieland 4 Wise, Steven M. 3 Backofen, Rainer 3 Burger, Martin 3 Li, Bo 3 Li, Shuwang 3 Ribalta, Angel 3 Salvalaglio, Marco 3 Witkowski, Thomas 2 Balykov, Lev 2 Bänsch, Eberhard 2 Hoffmann, Karl-Heinz 2 Ling, Siqi 2 Rumpf, Martin 2 Teigen, Knut Erik 2 Vey, Simon 2 Weichmann, Christian 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 Li, Xiangrong 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 Sarbu, Lavinia 1 Selch, Maximilian 1 Simon, Maximilian 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 Wenzel, Dennis 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 3 Computational Methods in Applied Mathematics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 SIAM Journal on Scientific Computing 2 Oberwolfach Reports 2 Communications in Computational Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Biology 1 Journal of Geometry and Physics 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 SIAM Journal on Imaging Sciences 1 Symmetry 1 International Journal of Biomathematics and Biostatistics all top 5 Fields 45 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Differential geometry (53-XX) 5 Dynamical systems and ergodic theory (37-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) 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 Mechanics of particles and systems (70-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 Open 64 Publications have been cited 720 times in 423 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 71 2011 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 60 2009 A new phase-field model for strongly anisotropic systems. Zbl 1186.80014Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven 54 2009 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092Rätz, Andreas; Voigt, Axel 49 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 43 2009 A finite element approach to incompressible two-phase flow on manifolds. Zbl 1275.76162Nitschke, I.; Voigt, A.; Wensch, J. 29 2012 Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel 28 2014 Phase-field approaches to structural topology optimization. Zbl 1356.49044Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel 24 2012 Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200Aland, S.; Lowengrub, J.; Voigt, A. 21 2010 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035Rätz, Andreas; Ribalta, Angel; Voigt, Axel 21 2006 Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S. 19 2010 Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 17 2017 Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A. 17 2015 The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289Reuther, S.; Voigt, A. 17 2015 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 13 2009 Finite element method for epitaxial growth with attachment–detachment kinetics. Zbl 1100.82024Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel 12 2004 A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel 12 2007 Orientational order on surfaces: the coupling of topology, geometry, and dynamics. Zbl 1391.35335Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel 11 2018 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 Margination of white blood cells: a computational approach by a hydrodynamic phase field model. Zbl 1382.76304Marth, Wieland; Aland, Sebastian; Voigt, Axel 11 2016 A continuum model of colloid-stabilized interfaces. Zbl 1308.76159Aland, Sebastian; Lowengrub, John; Voigt, Axel 10 2011 A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112Haußer, Frank; Voigt, Axel 9 2007 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315Rätz, Andreas; Voigt, A. 9 2007 AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel 9 2008 Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441Lowengrub, J. S.; Xu, J-J.; Voigt, A. 8 2007 Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033Marth, Wieland; Voigt, Axel 8 2014 Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243Reuther, Sebastian; Voigt, Axel 7 2018 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128Landsberg, Christoph; Voigt, Axel 7 2010 Convexity splitting in a phase field model for surface diffusion. Zbl 07017833Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 6 2019 A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel 6 2012 Development and analysis of a block-preconditioner for the phase-field crystal equation. Zbl 1320.82059Praetorius, Simon; Voigt, Axel 6 2015 A numerical approach for fluid deformable surfaces. Zbl 1460.76066Reuther, S.; Nitschke, I.; Voigt, Axel 5 2020 A numerical scheme for regularized anisotropic curve shortening flow. Zbl 1114.74057Haußer, Frank; Voigt, Axel 5 2006 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 for vector- and tensor-valued surface PDEs. Zbl 1452.65352Nestler, Michael; Nitschke, Ingo; Voigt, Axel 4 2019 Numerical simulation of industrial crystal growth. Zbl 1009.82001Voigt, Axel 4 2001 Geodesic evolution laws – a level-set approach. Zbl 1179.35172Stöcker, Christina; Voigt, Axel 4 2008 Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107Vey, S.; Voigt, A. 4 2007 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 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 4 2012 Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326Reuther, Sebastian; Voigt, Axel 4 2016 Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; 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 A level set approach to anisotropic surface evolution with free adatoms. Zbl 1171.35404Stöcker, Christina; Voigt, Axel 3 2008 The influence of electric fields on nanostructures-simulation and control. Zbl 1192.78028Haußer, Frank; Rasche, Sandra; Voigt, Axel 3 2010 An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel 3 2016 Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420Li, Shuwang; Lowengrub, John; Voigt, Axel 3 2012 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054Hausser, Frank; Voigt, Axel 3 2005 Liquid crystals on deformable surfaces. Zbl 1472.82040Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 3 2020 Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherically symmetric domains. Zbl 1027.35043Voigt, Axel; Hoffman, Karl-Heinz 2 2002 Stability of a circular epitaxial island. Zbl 1086.35109Li, Bo; Rätz, Andreas; Voigt, Axel 2 2004 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 Finite element-based level set methods for higher order flows. Zbl 1203.76111Burger, Martin; Stöcker, Christina; Voigt, Axel 2 2008 Control of nanostructures through electric fields and related free boundary problems. Zbl 1356.49070Haußer, Frank; Janssen, Sandra; Voigt, Axel 2 2012 Multiscale modelling in epitaxial growth. Zbl 1077.82500 1 2004 Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105Bänsch, Eberhard; Hausser, Frank; Voigt, Axel 1 2005 The radiosity equation for solving global heat transfer in industrial furnaces. Zbl 1054.80014Voigt, A.; Hanssen, N.; Weichmann, C. 1 2004 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 Fluid deformable surfaces. Zbl 1430.76053Voigt, Axel 1 2019 Observer-invariant time derivatives on moving surfaces. Zbl 07463862Nitschke, Ingo; Voigt, Axel 1 2022 Observer-invariant time derivatives on moving surfaces. Zbl 07463862Nitschke, Ingo; Voigt, Axel 1 2022 A numerical approach for fluid deformable surfaces. Zbl 1460.76066Reuther, S.; Nitschke, I.; Voigt, Axel 5 2020 Liquid crystals on deformable surfaces. Zbl 1472.82040Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 3 2020 Convexity splitting in a phase field model for surface diffusion. Zbl 07017833Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 6 2019 A finite element approach for vector- and tensor-valued surface PDEs. Zbl 1452.65352Nestler, Michael; Nitschke, Ingo; Voigt, Axel 4 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 11 2018 Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243Reuther, Sebastian; Voigt, Axel 7 2018 Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; Voigt, Axel 3 2018 Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 17 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 11 2016 Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326Reuther, Sebastian; Voigt, Axel 4 2016 An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel 3 2016 Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A. 17 2015 The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289Reuther, S.; Voigt, A. 17 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 28 2014 Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033Marth, Wieland; Voigt, Axel 8 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. 29 2012 Phase-field approaches to structural topology optimization. Zbl 1356.49044Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel 24 2012 A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel 6 2012 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 4 2012 Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420Li, Shuwang; Lowengrub, John; 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 A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel 71 2011 A continuum model of colloid-stabilized interfaces. Zbl 1308.76159Aland, Sebastian; Lowengrub, John; Voigt, Axel 10 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. 21 2010 Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S. 19 2010 A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128Landsberg, Christoph; Voigt, Axel 7 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. 60 2009 A new phase-field model for strongly anisotropic systems. Zbl 1186.80014Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven 54 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 43 2009 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 13 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel 9 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 12 2007 A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112Haußer, Frank; Voigt, Axel 9 2007 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315Rätz, Andreas; Voigt, A. 9 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. 8 2007 Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107Vey, S.; Voigt, A. 4 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 49 2006 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035Rätz, Andreas; Ribalta, Angel; Voigt, Axel 21 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 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054Hausser, Frank; Voigt, Axel 3 2005 Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105Bänsch, Eberhard; Hausser, Frank; Voigt, Axel 1 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 attachment–detachment kinetics. Zbl 1100.82024Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel 12 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 1077.82500 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 683 Authors 38 Voigt, Axel 21 Lowengrub, John Samuel 11 Garcke, Harald 11 Lai, Mingchih 11 Miranville, Alain M. 9 Aland, Sebastian 9 Olshanskii, Maxim A. 8 Kim, Junseok 8 Nitschke, Ingo 8 Rätz, Andreas 8 Yang, Xiaofeng 7 Reusken, Arnold 7 Reuther, Sebastian 7 Wise, Steven M. 6 Elliott, Charles M. 6 Hausser, Frank 6 Kou, Jisheng 6 Li, Shuwang 6 Nürnberg, Robert 6 Sun, Shuyu 5 Barrett, John W. 5 Nestler, Michael 5 Praetorius, Simon 5 Rabczuk, Timon 5 Röger, Matthias 5 Seol, Yunchang 5 Styles, Vanessa 5 Tornberg, Anna-Karin 5 Wang, Cheng 5 Wang, Qi 5 Yang, Junxiang 5 Zhao, Quan 4 Abels, Helmut 4 Arroyo, Marino 4 Bao, Weizhu 4 Burger, Martin 4 Druet, Pierre-Étienne 4 Guo, Zhenlin 4 Li, Yibao 4 Miura, Tatsu-Hiko 4 Münch, Andreas 4 Ristinmaa, Matti 4 Shen, Jie 4 Stinner, Bjorn 4 Wallin, Mathias 3 Blank, Luise 3 Cherfils, Laurence 3 Du, Qiang 3 Feng, Xinlong 3 Fusco, Nicola 3 Hu, Xianliang 3 Jankuhn, Thomas 3 Lam, Kei Fong 3 Li, Xiaoli 3 Li, Yixin 3 Lin, Guang 3 Lin, Ping 3 Liu, Chun 3 Liu, Zhengguang 3 Lu, Jianfeng 3 Marth, Wieland 3 Millán, Daniel 3 Morini, Massimiliano 3 Ouyang, Jie 3 Promislow, Keith Steven 3 Quaini, Annalisa 3 Rohde, Christian 3 Salac, David 3 Schlottbom, Matthias 3 Tavakoli, Rouhollah 3 Valizadeh, Navid 3 Wang, Xiaoqiang 3 Wirth, Benedikt 3 Xu, Jianjun 3 Yang, Haizhao 3 Yao, Jun 3 Zhang, Chenhui 3 Zhao, Jia 3 Zhiliakov, Alexander 3 Zhu, Guangpu 2 Ardekani, Arezoo M. 2 Arias, Irene 2 Ba, Yan 2 Bäcker, Jan-Phillip 2 Bänsch, Eberhard 2 Belliard, Michel 2 Biros, George 2 Bothe, Dieter 2 Bruchon, Julien 2 Caroccia, Marco 2 Cermelli, Paolo 2 Chen, Chuanjun 2 Cheng, Kelong 2 Cristoferi, Riccardo 2 Dai, Shibin 2 Deckelnick, Klaus 2 Dede’, Luca 2 Drapier, Sylvain 2 Duan, Ning 2 Elsey, Matthew ...and 583 more Authors all top 5 Cited in 116 Serials 85 Journal of Computational Physics 35 Computer Methods in Applied Mechanics and Engineering 17 Journal of Fluid Mechanics 14 Journal of Scientific Computing 13 SIAM Journal on Scientific Computing 10 Computers and Fluids 10 Journal of Computational and Applied Mathematics 8 Communications in Computational Physics 7 Applied Mathematics Letters 7 Multiscale Modeling & Simulation 6 Computers & Mathematics with Applications 6 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 Mathematics of Computation 5 Applied Numerical Mathematics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Biology 4 Numerische Mathematik 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Numerical Analysis 4 Advances in Computational Mathematics 4 Computational Methods in Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of the Mechanics and Physics of Solids 3 Bulletin of Mathematical Biology 3 Journal of Geometry and Physics 3 Applied Mathematics and Computation 3 Computational Mechanics 3 Applications of Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 3 Archives of Computational Methods in Engineering 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Numerical Algorithms 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Physics of Fluids 2 Engineering Analysis with Boundary Elements 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Interfaces and Free Boundaries 2 Computational Geosciences 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 SIAM Journal on Applied Dynamical Systems 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Applied Mathematics and Mechanics 2 Journal of Theoretical Biology 2 Advances in Nonlinear Analysis 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 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 BIT 1 Computing 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 Journal of Computational Mathematics 1 ACM Transactions on Graphics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 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 Applicationes Mathematicae 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 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 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 International Journal of Computational Methods ...and 16 more Serials all top 5 Cited in 33 Fields 212 Numerical analysis (65-XX) 187 Fluid mechanics (76-XX) 175 Partial differential equations (35-XX) 97 Mechanics of deformable solids (74-XX) 46 Biology and other natural sciences (92-XX) 38 Statistical mechanics, structure of matter (82-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Classical thermodynamics, heat transfer (80-XX) 11 Differential geometry (53-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Approximations and expansions (41-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Optics, electromagnetic theory (78-XX) 3 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-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 Quantum theory (81-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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