Edit Profile Deckelnick, Klaus Compute Distance To: Compute Author ID: deckelnick.klaus Published as: Deckelnick, K.; Deckelnick, Klaus External Links: MGP Documents Indexed: 70 Publications since 1990, including 1 Book Reviewing Activity: 137 Reviews all top 5 Co-Authors 8 single-authored 18 Elliott, Charles M. 17 Hinze, Michael 15 Dziuk, Gerhard 7 Styles, Vanessa 6 Grunau, Hans-Christoph 4 Ahmad Ali, Ahmad 3 Barrett, John W. 3 Dall’Acqua, Anna 3 Günther, Andreas 2 Schieweck, Friedhelm 1 Bänsch, Eberhard 1 Doemeland, Marco 1 Heine, Claus-Justus 1 Jordan, Tobias 1 Katz, Jakob 1 Kornhuber, Ralf 1 Miura, Tatsu-Hiko 1 Ranner, Thomas 1 Richardson, Gregory S. 1 Röger, Matthias 1 Sethian, James A. 1 Siebert, Kunibert G. 1 Styles, V. M. 1 Wheeler, Glen E. all top 5 Serials 8 Interfaces and Free Boundaries 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 4 Calculus of Variations and Partial Differential Equations 3 IMA Journal of Numerical Analysis 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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinearity 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Analysis (München) 1 Acta Numerica 1 Oberwolfach Reports 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Advances in Calculus of Variations 1 Mathematical Control and Related Fields all top 5 Fields 46 Partial differential equations (35-XX) 43 Numerical analysis (65-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 12 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 59 Publications have been cited 760 times in 530 Documents Cited by ▼ Year ▼ Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 118 2005 Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048Deckelnick, Klaus 67 1992 Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055Deckelnick, Klaus; Hinze, Michael 62 2007 \(L^ 2\) decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124Deckelnick, Klaus 48 1993 Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 40 2009 Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph 28 2008 An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus 25 2010 Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047Deckelnick, Klaus; Dziuk, Gerhard 22 2006 A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006Deckelnick, Klaus; Hinze, Michael 21 2012 Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002Deckelnick, Klaus; Grunau, Hans-Christoph 20 2007 Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115Deckelnick, Klaus; Elliott, Charles M. 18 2004 Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 17 2009 Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas 16 2014 A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065Deckelnick, Klaus; Grunau, Hans-Christoph 12 2009 Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400Deckelnick, K.; Hinze, M. 12 2008 Weak solutions of the curve shortening flow. Zbl 0990.35076Deckelnick, Klaus 12 1997 Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183Deckelnick, Klaus; Dziuk, Gerhard 11 2009 Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027Deckelnick, Klaus; Hinze, Michael 11 2004 Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038Deckelnick, Klaus; Hinze, Michael 10 2011 Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038Deckelnick, Klaus; Grunau, Hans-Christoph 10 2009 Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064Deckelnick, K.; Elliott, C. M.; Richardson, G. 10 1997 Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 9 2003 Numerical diffusion-induced grain boundary motion. Zbl 0991.35095Deckelnick, K.; Elliott, C. M.; Styles, V. 9 2001 Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088Deckelnick, Klaus; Dziuk, Gerhard 9 2000 Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035Bänsch, Eberhard; Deckelnick, Klaus 9 1999 Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114Deckelnick, Klaus; Hinze, Michael 8 2012 Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 8 2005 A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103Deckelnick, Klaus; Dziuk, Gerhard 8 2002 On the approximation of the curve shortening flow. Zbl 0830.65096Deckelnick, K.; Dziuk, G. 8 1995 Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa 7 2017 Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112Deckelnick, K. 7 2000 Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103Deckelnick, Klaus; Dziuk, Gerhard 7 1995 Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061Dall’Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen 6 2013 Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias 5 2017 Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 5 2011 Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements. Zbl 1227.65079Deckelnick, Klaus; Schieweck, Friedhelm 5 2010 Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009Deckelnick, Klaus; Elliott, Charles M. 5 1998 Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 4 2016 Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026Barrett, John W.; Deckelnick, Klaus 4 2007 Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076Deckelnick, Klaus; Dziuk, Gerhard 4 2003 Discrete anisotropic curvature flow of graphs. Zbl 0948.65138Deckelnick, Klaus; Dziuk, Gerhard 4 1999 Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002Deckelnick, Klaus 4 1995 Global minima for semilinear optimal control problems. Zbl 1354.49048Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 3 2016 Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 3 2009 Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073Deckelnick, Klaus; Elliott, Charles M. 3 2006 Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053Deckelnick, Klaus; Hinze, Michael 3 2003 Mean curvature flow and related topics. Zbl 1027.65134Deckelnick, Klaus; Dziuk, Gerhard 3 2003 An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006Deckelnick, Klaus; Elliott, Charles M. 3 2001 Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103Deckelnick, Klaus; Dziuk, Gerhard 3 2001 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 An obstacle problem for elastic graphs. Zbl 1382.49003Dall’Acqua, Anna; Deckelnick, Klaus 2 2018 Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 2 2008 Error analysis for global minima of semilinear optimal control problems. Zbl 07006608Ali, Ahmad Ahmad; Deckelnick, Klaus; Hinze, Michael 1 2018 An optimal shape design problem for plates. Zbl 1394.74140Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias 1 2017 A \(C^1\)-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm 1 2015 A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047Deckelnick, Klaus; Hinze, Michael 1 2014 Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070Deckelnick, Klaus; Hinze, Michael 1 2011 Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150Deckelnick, Klaus; Elliott, Charles M. 1 1999 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 0707.35120Deckelnick, Klaus 1 1990 An obstacle problem for elastic graphs. Zbl 1382.49003Dall’Acqua, Anna; Deckelnick, Klaus 2 2018 Error analysis for global minima of semilinear optimal control problems. Zbl 07006608Ali, Ahmad Ahmad; Deckelnick, Klaus; Hinze, Michael 1 2018 Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa 7 2017 Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias 5 2017 An optimal shape design problem for plates. Zbl 1394.74140Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias 1 2017 Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 4 2016 Global minima for semilinear optimal control problems. Zbl 1354.49048Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael 3 2016 A \(C^1\)-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm 1 2015 Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas 16 2014 A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047Deckelnick, Klaus; Hinze, Michael 1 2014 Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061Dall’Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen 6 2013 A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006Deckelnick, Klaus; Hinze, Michael 21 2012 Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114Deckelnick, Klaus; Hinze, Michael 8 2012 Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038Deckelnick, Klaus; Hinze, Michael 10 2011 Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 5 2011 Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070Deckelnick, Klaus; Hinze, Michael 1 2011 An \(h\)-narrow band finite-element method for elliptic equations on implicit surfaces. Zbl 1191.65151Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.; Heine, Claus-Justus 25 2010 Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements. Zbl 1227.65079Deckelnick, Klaus; Schieweck, Friedhelm 5 2010 Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 40 2009 Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 17 2009 A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065Deckelnick, Klaus; Grunau, Hans-Christoph 12 2009 Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183Deckelnick, Klaus; Dziuk, Gerhard 11 2009 Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038Deckelnick, Klaus; Grunau, Hans-Christoph 10 2009 Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa 3 2009 Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph 28 2008 Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400Deckelnick, K.; Hinze, M. 12 2008 Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187Deckelnick, Klaus; Günther, Andreas; Hinze, Michael 2 2008 Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055Deckelnick, Klaus; Hinze, Michael 62 2007 Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002Deckelnick, Klaus; Grunau, Hans-Christoph 20 2007 Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026Barrett, John W.; Deckelnick, Klaus 4 2007 Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047Deckelnick, Klaus; Dziuk, Gerhard 22 2006 Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073Deckelnick, Klaus; Elliott, Charles M. 3 2006 Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 118 2005 Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 8 2005 Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115Deckelnick, Klaus; Elliott, Charles M. 18 2004 Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027Deckelnick, Klaus; Hinze, Michael 11 2004 Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M. 9 2003 Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076Deckelnick, Klaus; Dziuk, Gerhard 4 2003 Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053Deckelnick, Klaus; Hinze, Michael 3 2003 Mean curvature flow and related topics. Zbl 1027.65134Deckelnick, Klaus; Dziuk, Gerhard 3 2003 A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103Deckelnick, Klaus; Dziuk, Gerhard 8 2002 Numerical diffusion-induced grain boundary motion. Zbl 0991.35095Deckelnick, K.; Elliott, C. M.; Styles, V. 9 2001 An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006Deckelnick, Klaus; Elliott, Charles M. 3 2001 Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103Deckelnick, Klaus; Dziuk, Gerhard 3 2001 Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088Deckelnick, Klaus; Dziuk, Gerhard 9 2000 Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112Deckelnick, K. 7 2000 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035Bänsch, Eberhard; Deckelnick, Klaus 9 1999 Discrete anisotropic curvature flow of graphs. Zbl 0948.65138Deckelnick, Klaus; Dziuk, Gerhard 4 1999 Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150Deckelnick, Klaus; Elliott, Charles M. 1 1999 Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009Deckelnick, Klaus; Elliott, Charles M. 5 1998 Weak solutions of the curve shortening flow. Zbl 0990.35076Deckelnick, Klaus 12 1997 Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Zbl 0909.35064Deckelnick, K.; Elliott, C. M.; Richardson, G. 10 1997 On the approximation of the curve shortening flow. Zbl 0830.65096Deckelnick, K.; Dziuk, G. 8 1995 Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103Deckelnick, Klaus; Dziuk, Gerhard 7 1995 Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002Deckelnick, Klaus 4 1995 \(L^ 2\) decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124Deckelnick, Klaus 48 1993 Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048Deckelnick, Klaus 67 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 0707.35120Deckelnick, Klaus 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 680 Authors 25 Garcke, Harald 25 Nürnberg, Robert 21 Barrett, John W. 21 Elliott, Charles M. 17 Deckelnick, Klaus 16 Hinze, Michael 12 Casas, Eduardo 10 Gong, Wei 9 Neitzel, Ira 9 Olshanskii, Maxim A. 9 Tan, Zhong 9 Wollner, Winnifried 9 Yang, Tong 8 Dall’Acqua, Anna 8 Mateos, Mariano 8 Rösch, Arnd 8 Styles, Vanessa 7 Brenner, Susanne Cecelia 7 Grunau, Hans-Christoph 7 Ševčovič, Daniel 7 Tröltzsch, Fredi 7 Ukai, Seiji 7 Vexler, Boris 7 Wachsmuth, Daniel 6 Beneš, Michal 6 Chrysafinos, Konstantinos 6 Hansbo, Peter 6 Larson, Mats G. 6 Nochetto, Ricardo Horacio 6 Pfefferer, Johannes 6 Reusken, Arnold 6 Wachsmuth, Gerd 6 Yan, Ningning 6 Yao, Zhengan 5 Eichmann, Sascha 5 Fritz, Hans 5 Guo, Boling 5 Kovács, Balázs 5 Lapin, Aleksandr Vasil’evich 5 Li, Buyang 5 Lubich, Christian 5 Mikula, Karol 5 Qin, Yuming 5 Sung, Li-Yeng 5 Wang, Wenjun 5 Wu, Guochun 4 Apel, Thomas 4 Bao, Weizhu 4 Bartels, Sören 4 Bretin, Elie 4 Burger, Martin 4 Duan, Renjun 4 Dziuk, Gerhard 4 Gudi, Thirupathi 4 Kobayashi, Takayuki 4 Li, Yin 4 Oberhuber, Tomás 4 Stinner, Bjorn 4 Voigt, Axel 4 Wei, Ruiying 4 Wheeler, Glen E. 4 Xi, Xiaoyu 4 Xu, Yan 4 Zhang, Zhiyue 4 Zhao, Huijiang 4 Zhao, Quan 4 Zhou, Guanyu 3 Bergner, Matthias 3 Blank, Luise 3 Burman, Erik 3 Chang, Lili 3 Chen, Jingyi 3 Chernyshenko, Alexey Y. 3 Clason, Christian 3 Dedner, Andreas S. 3 Filbet, Francis 3 Fröhlich, Steffen 3 Grande, Jörg 3 Gräser, Carsten 3 Günther, Andreas 3 Haußer, Frank 3 Hintermüller, Michael 3 Hobbs, Graham 3 Jiang, Peng 3 Kagei, Yoshiyuki 3 Kashiwabara, Takahito 3 Kolář, Miroslav 3 Kornhuber, Ralf 3 Kröner, Heiko 3 Lehrenfeld, Christoph 3 Li, Jinkai 3 Lin, Xiuxiu 3 Madzvamuse, Anotida 3 Meyer, Christian 3 Müller, Marius 3 Nicaise, Serge 3 Ninomiya, Hirokazu 3 Oikawa, Issei 3 Pörner, Frank 3 Pozzi, Paola ...and 580 more Authors all top 5 Cited in 138 Serials 36 Numerische Mathematik 27 Journal of Computational Physics 25 Journal of Scientific Computing 24 Computational Optimization and Applications 23 SIAM Journal on Numerical Analysis 21 Journal of Differential Equations 14 Mathematics of Computation 13 Journal of Mathematical Analysis and Applications 11 Journal of Computational and Applied Mathematics 11 SIAM Journal on Control and Optimization 10 Applied Numerical Mathematics 9 Calculus of Variations and Partial Differential Equations 8 Archive for Rational Mechanics and Analysis 8 Computer Methods in Applied Mechanics and Engineering 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 SIAM Journal on Mathematical Analysis 8 SIAM Journal on Scientific Computing 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 The Journal of Geometric Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Computers & Mathematics with Applications 6 Mathematical Methods in the Applied Sciences 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Numerical Functional Analysis and Optimization 5 Inverse Problems 5 Numerical Methods for Partial Differential Equations 5 Computing and Visualization in Science 5 Lobachevskii Journal of Mathematics 5 Nonlinear Analysis. Real World Applications 5 Mathematical Control and Related Fields 4 Journal of Mathematical Physics 4 Applied Mathematics and Computation 4 Kybernetika 4 Computer Aided Geometric Design 4 Discrete and Continuous Dynamical Systems. Series B 4 Advances in Calculus of Variations 3 Applicable Analysis 3 Annals of Global Analysis and Geometry 3 Physica D 3 European Journal of Applied Mathematics 3 Numerical Algorithms 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Interfaces and Free Boundaries 3 Computational Methods in Applied Mathematics 3 Geometric Flows 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 Journal of Geometry and Physics 2 Applied Mathematics and Optimization 2 BIT 2 International Journal for Numerical Methods in Engineering 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Optimization 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 SIAM Journal on Optimization 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Foundations of Computational Mathematics 2 Journal of Numerical Mathematics 2 Milan Journal of Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 SMAI Journal of Computational Mathematics 1 Computer Physics Communications 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Journal of Global Optimization 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Physics of Fluids 1 Journal of Inverse and Ill-Posed Problems ...and 38 more Serials all top 5 Cited in 37 Fields 301 Partial differential equations (35-XX) 283 Numerical analysis (65-XX) 177 Calculus of variations and optimal control; optimization (49-XX) 122 Fluid mechanics (76-XX) 78 Differential geometry (53-XX) 46 Mechanics of deformable solids (74-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Biology and other natural sciences (92-XX) 19 Statistical mechanics, structure of matter (82-XX) 17 Ordinary differential equations (34-XX) 16 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year