Edit Profile (opens in new tab) Deckelnick, Klaus Co-Author Distance Author ID: deckelnick.klaus Published as: Deckelnick, Klaus; Deckelnick, K. External Links: MGP Documents Indexed: 83 Publications since 1990, including 2 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 137 Reviews Co-Authors: 30 Co-Authors with 76 Joint Publications 625 Co-Co-Authors all top 5 Co-Authors 8 single-authored 21 Hinze, Michael 18 Elliott, Charles M. 15 Dziuk, Gerhard 9 Styles, Vanessa 7 Nürnberg, Robert 6 Grunau, Hans-Christoph 5 Barrett, John William 4 Ahmad Ali, Ahmad 3 Dall’Acqua, Anna 3 Günther, Andreas 3 Herbert, Philip J. 2 Bänsch, Eberhard 2 Schieweck, Friedhelm 1 Doemeland, Marco 1 Garcke, Harald 1 Heine, Claus-Justus 1 Jordan, Tobias 1 Katz, Jakob 1 Kornhuber, Ralf 1 Kühl, Niklas 1 Miura, Tatsu-Hiko 1 Müller, Peter Marvin 1 Pozzi, Paola 1 Ranner, Thomas 1 Röger, Matthias 1 Rung, Thomas 1 Sethian, James A. 1 Siebenborn, Martin 1 Siebert, Kunibert G. 1 Wheeler, Glen E. all top 5 Serials 10 Interfaces and Free Boundaries 8 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 5 IMA Journal of Numerical Analysis 4 Calculus of Variations and Partial Differential Equations 3 Mathematics of Computation 2 Inverse Problems 2 Control and Cybernetics 2 SIAM Journal on Control and Optimization 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Computational Optimization and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinearity 1 Archivum Mathematicum 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Analysis (München) 1 Acta Numerica 1 Oberwolfach Reports 1 Oberwolfach Seminars 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Advances in Calculus of Variations 1 Mathematical Control and Related Fields all top 5 Fields 53 Partial differential equations (35-XX) 52 Numerical analysis (65-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 17 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 1,137 times in 752 Documents Cited by ▼ Year ▼ Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 186 2005 Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055 Deckelnick, Klaus; Hinze, Michael 93 2007 Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048 Deckelnick, Klaus 84 1992 \(L^ 2\) decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124 Deckelnick, Klaus 61 1993 Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 57 2009 Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060 Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph 37 2008 An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus 34 2010 Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047 Deckelnick, Klaus; Dziuk, Gerhard 27 2006 A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006 Deckelnick, Klaus; Hinze, Michael 25 2012 Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002 Deckelnick, Klaus; Grunau, Hans-Christoph 25 2007 On the approximation of the curve shortening flow. Zbl 0830.65096 Deckelnick, K.; Dziuk, G. 24 1995 Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 24 2009 Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164 Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas 23 2014 Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183 Deckelnick, Klaus; Dziuk, Gerhard 21 2009 Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115 Deckelnick, Klaus; Elliott, Charles M. 20 2004 Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218 Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa 20 2017 Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088 Deckelnick, Klaus; Dziuk, Gerhard 18 2000 A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065 Deckelnick, Klaus; Grunau, Hans-Christoph 18 2009 Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038 Deckelnick, Klaus; Hinze, Michael 15 2011 Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400 Deckelnick, K.; Hinze, M. 15 2008 Numerical diffusion-induced grain boundary motion. Zbl 0991.35095 Deckelnick, K.; Elliott, C. M.; Styles, V. 14 2001 Weak solutions of the curve shortening flow. Zbl 0990.35076 Deckelnick, Klaus 14 1997 Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 14 2005 Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027 Deckelnick, Klaus; Hinze, Michael 14 2004 Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061 Dall’Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen 14 2013 Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035 Bänsch, Eberhard; Deckelnick, Klaus 13 1999 Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103 Deckelnick, Klaus; Dziuk, Gerhard 13 1995 Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038 Deckelnick, Klaus; Grunau, Hans-Christoph 12 2009 Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 12 2003 A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103 Deckelnick, Klaus; Dziuk, Gerhard 11 2002 Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046 Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias 11 2017 Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064 Deckelnick, K.; Elliott, C. M.; Richardson, G. 10 1997 Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009 Deckelnick, Klaus; Elliott, Charles M. 9 1998 Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112 Deckelnick, K. 9 2000 Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 9 2011 Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 9 2016 Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114 Deckelnick, Klaus; Hinze, Michael 9 2012 An obstacle problem for elastic graphs. Zbl 1382.49003 Dall’Acqua, Anna; Deckelnick, Klaus 8 2018 A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290 Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert 8 2021 Global minima for semilinear optimal control problems. Zbl 1354.49048 Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 7 2016 Discrete anisotropic curvature flow of graphs. Zbl 0948.65138 Deckelnick, Klaus; Dziuk, Gerhard 7 1999 Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements. Zbl 1227.65079 Deckelnick, Klaus; Schieweck, Friedhelm 6 2010 Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026 Barrett, John W.; Deckelnick, Klaus 6 2007 Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002 Deckelnick, Klaus 5 1995 Finite element error analysis for a system coupling surface evolution to diffusion on the surface. Zbl 1486.65165 Deckelnick, Klaus; Styles, Vanessa 5 2022 Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076 Deckelnick, Klaus; Dziuk, Gerhard 5 2003 Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103 Deckelnick, Klaus; Dziuk, Gerhard 4 2001 An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006 Deckelnick, Klaus; Elliott, Charles M. 4 2001 A \(C^1\)-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054 Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm 4 2015 Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053 Deckelnick, Klaus; Hinze, Michael 4 2003 Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 4 2009 Mean curvature flow and related topics. Zbl 1027.65134 Deckelnick, Klaus; Dziuk, Gerhard 4 2003 Global minima for optimal control of the obstacle problem. Zbl 1448.49004 Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 4 2020 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077 Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073 Deckelnick, Klaus; Elliott, Charles M. 3 2006 Error analysis for global minima of semilinear optimal control problems. Zbl 07006608 Ali, Ahmad Ahmad; Deckelnick, Klaus; Hinze, Michael 3 2018 Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour. Zbl 1459.74062 Deckelnick, Klaus; Doemeland, Marco; Grunau, Hans-Christoph 3 2021 Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 2 2008 Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070 Deckelnick, Klaus; Hinze, Michael 2 2011 A novel \(W^{1,\infty}\) approach to shape optimisation with Lipschitz domains. Zbl 1483.35299 Deckelnick, Klaus; Herbert, Philip J.; Hinze, Michael 2 2022 A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047 Deckelnick, Klaus; Hinze, Michael 1 2014 Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Zbl 1397.65184 Deckelnick, Klaus; Styles, Vanessa 1 2018 Hamilton-Jacobi equations on an evolving surface. Zbl 1426.65134 Deckelnick, Klaus; Elliott, Charles M.; Miura, Tatsu-Hiko; Styles, Vanessa 1 2019 Das zeitasymptotische Verhalten von Lösungen der kompressiblen Navier- Stokes Gleichungen in unbeschränkten Gebieten. (The asymptotic behaviour of solutions of compressible Navier-Stokes equations in unbounded domains for t\(\to \infty)\). Zbl 0707.35120 Deckelnick, Klaus 1 1990 Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150 Deckelnick, Klaus; Elliott, Charles M. 1 1999 An optimal shape design problem for plates. Zbl 1394.74140 Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias 1 2017 Interfaces: modeling, analysis, numerics. Zbl 07756324 Bänsch, Eberhard; Deckelnick, Klaus; Garcke, Harald; Pozzi, Paola 1 2023 Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003 Deckelnick, Klaus; Nürnberg, Robert 1 2021 A finite element level set method for anisotropic mean curvature flow with space dependent weight. Zbl 1034.65080 Deckelnick, Klaus; Dziuk, Gerhard 1 2003 Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion. Zbl 1258.35127 Barrett, John W.; Deckelnick, Klaus 1 2012 Interfaces: modeling, analysis, numerics. Zbl 07756324 Bänsch, Eberhard; Deckelnick, Klaus; Garcke, Harald; Pozzi, Paola 1 2023 Finite element error analysis for a system coupling surface evolution to diffusion on the surface. Zbl 1486.65165 Deckelnick, Klaus; Styles, Vanessa 5 2022 A novel \(W^{1,\infty}\) approach to shape optimisation with Lipschitz domains. Zbl 1483.35299 Deckelnick, Klaus; Herbert, Philip J.; Hinze, Michael 2 2022 A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290 Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert 8 2021 Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour. Zbl 1459.74062 Deckelnick, Klaus; Doemeland, Marco; Grunau, Hans-Christoph 3 2021 Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003 Deckelnick, Klaus; Nürnberg, Robert 1 2021 Global minima for optimal control of the obstacle problem. Zbl 1448.49004 Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 4 2020 Hamilton-Jacobi equations on an evolving surface. Zbl 1426.65134 Deckelnick, Klaus; Elliott, Charles M.; Miura, Tatsu-Hiko; Styles, Vanessa 1 2019 An obstacle problem for elastic graphs. Zbl 1382.49003 Dall’Acqua, Anna; Deckelnick, Klaus 8 2018 Error analysis for global minima of semilinear optimal control problems. Zbl 07006608 Ali, Ahmad Ahmad; Deckelnick, Klaus; Hinze, Michael 3 2018 Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Zbl 1397.65184 Deckelnick, Klaus; Styles, Vanessa 1 2018 Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218 Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa 20 2017 Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046 Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias 11 2017 An optimal shape design problem for plates. Zbl 1394.74140 Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias 1 2017 Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 9 2016 Global minima for semilinear optimal control problems. Zbl 1354.49048 Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 7 2016 A \(C^1\)-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054 Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm 4 2015 Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164 Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas 23 2014 A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047 Deckelnick, Klaus; Hinze, Michael 1 2014 Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061 Dall’Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen 14 2013 A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006 Deckelnick, Klaus; Hinze, Michael 25 2012 Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114 Deckelnick, Klaus; Hinze, Michael 9 2012 Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion. Zbl 1258.35127 Barrett, John W.; Deckelnick, Klaus 1 2012 Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038 Deckelnick, Klaus; Hinze, Michael 15 2011 Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 9 2011 Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070 Deckelnick, Klaus; Hinze, Michael 2 2011 An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus 34 2010 Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements. Zbl 1227.65079 Deckelnick, Klaus; Schieweck, Friedhelm 6 2010 Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 57 2009 Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 24 2009 Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183 Deckelnick, Klaus; Dziuk, Gerhard 21 2009 A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065 Deckelnick, Klaus; Grunau, Hans-Christoph 18 2009 Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038 Deckelnick, Klaus; Grunau, Hans-Christoph 12 2009 Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003 Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 4 2009 Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060 Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph 37 2008 Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400 Deckelnick, K.; Hinze, M. 15 2008 Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187 Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 2 2008 Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055 Deckelnick, Klaus; Hinze, Michael 93 2007 Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002 Deckelnick, Klaus; Grunau, Hans-Christoph 25 2007 Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026 Barrett, John W.; Deckelnick, Klaus 6 2007 Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047 Deckelnick, Klaus; Dziuk, Gerhard 27 2006 Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073 Deckelnick, Klaus; Elliott, Charles M. 3 2006 Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 186 2005 Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 14 2005 Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115 Deckelnick, Klaus; Elliott, Charles M. 20 2004 Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027 Deckelnick, Klaus; Hinze, Michael 14 2004 Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097 Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 12 2003 Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076 Deckelnick, Klaus; Dziuk, Gerhard 5 2003 Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053 Deckelnick, Klaus; Hinze, Michael 4 2003 Mean curvature flow and related topics. Zbl 1027.65134 Deckelnick, Klaus; Dziuk, Gerhard 4 2003 A finite element level set method for anisotropic mean curvature flow with space dependent weight. Zbl 1034.65080 Deckelnick, Klaus; Dziuk, Gerhard 1 2003 A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103 Deckelnick, Klaus; Dziuk, Gerhard 11 2002 Numerical diffusion-induced grain boundary motion. Zbl 0991.35095 Deckelnick, K.; Elliott, C. M.; Styles, V. 14 2001 Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103 Deckelnick, Klaus; Dziuk, Gerhard 4 2001 An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006 Deckelnick, Klaus; Elliott, Charles M. 4 2001 Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088 Deckelnick, Klaus; Dziuk, Gerhard 18 2000 Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112 Deckelnick, K. 9 2000 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077 Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035 Bänsch, Eberhard; Deckelnick, Klaus 13 1999 Discrete anisotropic curvature flow of graphs. Zbl 0948.65138 Deckelnick, Klaus; Dziuk, Gerhard 7 1999 Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150 Deckelnick, Klaus; Elliott, Charles M. 1 1999 Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009 Deckelnick, Klaus; Elliott, Charles M. 9 1998 Weak solutions of the curve shortening flow. Zbl 0990.35076 Deckelnick, Klaus 14 1997 Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064 Deckelnick, K.; Elliott, C. M.; Richardson, G. 10 1997 On the approximation of the curve shortening flow. Zbl 0830.65096 Deckelnick, K.; Dziuk, G. 24 1995 Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103 Deckelnick, Klaus; Dziuk, Gerhard 13 1995 Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002 Deckelnick, Klaus 5 1995 \(L^ 2\) decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124 Deckelnick, Klaus 61 1993 Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048 Deckelnick, Klaus 84 1992 Das zeitasymptotische Verhalten von Lösungen der kompressiblen Navier- Stokes Gleichungen in unbeschränkten Gebieten. (The asymptotic behaviour of solutions of compressible Navier-Stokes equations in unbounded domains for t\(\to \infty)\). Zbl 0707.35120 Deckelnick, Klaus 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 894 Authors 36 Nürnberg, Robert 33 Garcke, Harald 22 Barrett, John William 22 Deckelnick, Klaus 22 Elliott, Charles M. 17 Hinze, Michael 15 Casas, Eduardo 14 Mateos, Mariano 12 Li, Buyang 12 Styles, Vanessa 11 Gong, Wei 11 Wollner, Winnifried 10 Beneš, Michal 10 Brenner, Susanne Cecelia 10 Neitzel, Ira 10 Sung, Li-Yeng 10 Tan, Zhong 9 Bao, Weizhu 9 Kovacs, Balazs A. 9 Mikula, Karol 9 Rösch, Arnd 9 Yang, Tong 9 Zhao, Quan 8 Dall’Acqua, Anna 8 Grunau, Hans-Christoph 8 Hansbo, Peter 8 Jiang, Wei 8 Larson, Mats G. 8 Nochetto, Ricardo Horacio 8 Olshanskii, Maxim A. 8 Ševčovič, Daniel 8 Vexler, Boris 7 Pfefferer, Johannes 7 Reusken, Arnold 7 Tröltzsch, Fredi 7 Ukai, Seiji 7 Wachsmuth, Daniel 7 Wachsmuth, Gerd 7 Wang, Wenjun 7 Yao, Zhengan 7 Zhang, Yinghui 6 Bartels, Sören 6 Chrysafinos, Konstantinos 6 Frolkovič, Peter 6 Guo, Boling 6 Hintermüller, Michael 6 Lubich, Christian 6 Pozzi, Paola 6 Singler, John R. 6 Stinner, Bjorn 6 Xu, Xianmin 6 Zhang, Yangwen 6 Zhou, Zhaojie 5 Blank, Luise 5 Bretin, Elie 5 Christof, Constantin 5 Eichmann, Sascha 5 Feng, Xinlong 5 Fritz, Hans 5 Lapin, Aleksandr Vasil’evich 5 Li, Jinkai 5 Okabe, Shinya 5 Qin, Yuming 5 Rumpf, Martin 5 Sun, Bing 5 Tao, Zhenzhen 5 Wheeler, Glen E. 5 Wu, Guochun 5 Xi, Xiaoyu 5 Xiao, Xufeng 5 Yan, Ningning 5 Zhang, Zhiyue 5 Zhou, Guanyu 4 Abels, Helmut 4 Apel, Thomas 4 Burger, Martin 4 Burman, Erik 4 Duan, Renjun 4 Dziuk, Gerhard 4 Gudi, Thirupathi 4 Hahn, Jooyoung 4 Kashiwabara, Takahito 4 Kobayashi, Takayuki 4 Kolář, Miroslav 4 Kröner, Heiko 4 Lehrenfeld, Christoph 4 Li, Yifei 4 Li, Yin 4 Müller, Marius 4 Oberhuber, Tomás 4 Oikawa, Issei 4 Porwal, Kamana 4 Urquiza, José Manuel 4 Voigt, Axel 4 Wang, Qiming 4 Wei, Ruiying 4 Xu, Fuyi 4 Xu, Yan 4 Yazaki, Shigetoshi 4 Zahedi, Sara ...and 794 more Authors all top 5 Cited in 176 Serials 42 Numerische Mathematik 36 Journal of Computational Physics 33 SIAM Journal on Numerical Analysis 33 Journal of Scientific Computing 26 Computational Optimization and Applications 25 Journal of Differential Equations 15 Computer Methods in Applied Mechanics and Engineering 15 Journal of Mathematical Analysis and Applications 15 Mathematics of Computation 15 SIAM Journal on Scientific Computing 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Applied Numerical Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Computers & Mathematics with Applications 12 SIAM Journal on Control and Optimization 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Calculus of Variations and Partial Differential Equations 9 Archive for Rational Mechanics and Analysis 9 Journal of Computational and Applied Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 The Journal of Geometric Analysis 8 Inverse Problems 8 Mathematical Methods in the Applied Sciences 8 Numerical Methods for Partial Differential Equations 8 SIAM Journal on Mathematical Analysis 8 Computational Methods in Applied Mathematics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Numerical Functional Analysis and Optimization 7 Interfaces and Free Boundaries 7 Nonlinear Analysis. Real World Applications 6 Applied Mathematics and Optimization 6 Optimization 6 Numerical Algorithms 6 Computing and Visualization in Science 6 Discrete and Continuous Dynamical Systems. Series B 6 Mathematical Control and Related Fields 5 Lobachevskii Journal of Mathematics 4 Journal of Mathematical Physics 4 Applied Mathematics and Computation 4 Kybernetika 4 Annals of Global Analysis and Geometry 4 Computer Aided Geometric Design 4 Physica D 4 European Journal of Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Discrete and Continuous Dynamical Systems 4 Advances in Calculus of Variations 4 Advances in Applied Mathematics and Mechanics 3 Applicable Analysis 3 International Journal for Numerical Methods in Engineering 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Japan Journal of Industrial and Applied Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Optimization 3 Advances in Computational Mathematics 3 Journal of Inequalities and Applications 3 Journal of Mathematical Fluid Mechanics 3 Journal of Evolution Equations 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Communications in Computational Physics 3 SIAM Journal on Imaging Sciences 3 Geometric Flows 3 Mathematics in Engineering 3 SMAI Journal of Computational Mathematics 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 Journal of Statistical Physics 2 Nonlinearity 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 BIT 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applications of Mathematics 2 International Journal of Computer Mathematics 2 Journal of Mathematical Imaging and Vision 2 Journal of Inverse and Ill-Posed Problems 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Analysis (München) 2 Foundations of Computational Mathematics 2 Portugaliae Mathematica. Nova Série 2 Milan Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Physics Communications 1 Journal d’Analyse Mathématique ...and 76 more Serials all top 5 Cited in 38 Fields 439 Partial differential equations (35-XX) 428 Numerical analysis (65-XX) 256 Calculus of variations and optimal control; optimization (49-XX) 165 Fluid mechanics (76-XX) 125 Differential geometry (53-XX) 67 Mechanics of deformable solids (74-XX) 41 Biology and other natural sciences (92-XX) 38 Global analysis, analysis on manifolds (58-XX) 27 Operations research, mathematical programming (90-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Systems theory; control (93-XX) 19 Ordinary differential equations (34-XX) 13 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 9 Optics, electromagnetic theory (78-XX) 8 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 5 Quantum theory (81-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year