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## Deckelnick, Klaus

Compute Distance To:
 Author ID: deckelnick.klaus Published as: Deckelnick, Klaus; Deckelnick, K. External Links: MGP
 Documents Indexed: 70 Publications since 1990, including 1 Book Reviewing Activity: 137 Reviews
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#### 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 Röger, Matthias 1 Sethian, James A. 1 Siebert, Kunibert G. 1 Wheeler, Glen E.
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

59 Publications have been cited 810 times in 563 Documents Cited by Year
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2005
Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048
Deckelnick, Klaus
1992
Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055
Deckelnick, Klaus; Hinze, Michael
2007
$$L^ 2$$ decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124
Deckelnick, Klaus
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
2009
Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060
Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph
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
2010
Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047
Deckelnick, Klaus; Dziuk, Gerhard
2006
A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006
Deckelnick, Klaus; Hinze, Michael
2012
Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002
Deckelnick, Klaus; Grunau, Hans-Christoph
2007
Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115
Deckelnick, Klaus; Elliott, Charles M.
2004
Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164
Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas
2014
A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065
Deckelnick, Klaus; Grunau, Hans-Christoph
2009
Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400
Deckelnick, K.; Hinze, M.
2008
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027
Deckelnick, Klaus; Hinze, Michael
2004
Weak solutions of the curve shortening flow. Zbl 0990.35076
Deckelnick, Klaus
1997
Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183
Deckelnick, Klaus; Dziuk, Gerhard
2009
Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038
Deckelnick, Klaus; Hinze, Michael
2011
Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088
Deckelnick, Klaus; Dziuk, Gerhard
2000
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.
1997
On the approximation of the curve shortening flow. Zbl 0830.65096
Deckelnick, K.; Dziuk, G.
1995
Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038
Deckelnick, Klaus; Grunau, Hans-Christoph
2009
Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035
Bänsch, Eberhard; Deckelnick, Klaus
1999
Numerical diffusion-induced grain boundary motion. Zbl 0991.35095
Deckelnick, K.; Elliott, C. M.; Styles, V.
2001
Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103
Deckelnick, Klaus; Dziuk, Gerhard
1995
Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114
Deckelnick, Klaus; Hinze, Michael
2012
Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061
Dall’Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen
2013
Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2005
A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103
Deckelnick, Klaus; Dziuk, Gerhard
2002
Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218
Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa
2017
Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112
Deckelnick, K.
2000
Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2003
Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046
Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias
2017
Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. Zbl 0921.65009
Deckelnick, Klaus; Elliott, Charles M.
1998
Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa
2011
Error analysis for the approximation of axisymmetric Willmore flow by $$C^{1}$$-finite elements. Zbl 1227.65079
Deckelnick, Klaus; Schieweck, Friedhelm
2010
Discrete anisotropic curvature flow of graphs. Zbl 0948.65138
Deckelnick, Klaus; Dziuk, Gerhard
1999
Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. Zbl 1339.65209
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa
2016
Mean curvature flow and related topics. Zbl 1027.65134
Deckelnick, Klaus; Dziuk, Gerhard
2003
Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076
Deckelnick, Klaus; Dziuk, Gerhard
2003
Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002
Deckelnick, Klaus
1995
Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053
Deckelnick, Klaus; Hinze, Michael
2003
Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026
Barrett, John W.; Deckelnick, Klaus
2007
Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103
Deckelnick, Klaus; Dziuk, Gerhard
2001
$$W^{1, \infty}$$-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077
Deckelnick, Klaus; Siebert, Kunibert G.
2000
An existence and uniqueness result for a phase-filed model of diffusion-induced grain-boundary motion. Zbl 0989.35006
Deckelnick, Klaus; Elliott, Charles M.
2001
Global minima for semilinear optimal control problems. Zbl 1354.49048
2016
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa
2009
Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073
Deckelnick, Klaus; Elliott, Charles M.
2006
An obstacle problem for elastic graphs. Zbl 1382.49003
Dall’Acqua, Anna; Deckelnick, Klaus
2018
Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2008
Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070
Deckelnick, Klaus; Hinze, Michael
2011
A $$C^1$$-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054
Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm
2015
A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047
Deckelnick, Klaus; Hinze, Michael
2014
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
1990
Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150
Deckelnick, Klaus; Elliott, Charles M.
1999
An optimal shape design problem for plates. Zbl 1394.74140
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias
2017
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
An obstacle problem for elastic graphs. Zbl 1382.49003
Dall&rsquo;Acqua, Anna; Deckelnick, Klaus
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
2017
Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046
Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias
2017
An optimal shape design problem for plates. Zbl 1394.74140
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias
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
2016
Global minima for semilinear optimal control problems. Zbl 1354.49048
2016
A $$C^1$$-finite element method for the Willmore flow of two-dimensional graphs. Zbl 1320.05054
Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm
2015
Unfitted finite element methods using bulk meshes for surface partial differential equations. Zbl 1307.65164
Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas
2014
A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047
Deckelnick, Klaus; Hinze, Michael
2014
Unstable Willmore surfaces of revolution subject to natural boundary conditions. Zbl 1280.35061
Dall&rsquo;Acqua, Anna; Deckelnick, Klaus; Wheeler, Glen
2013
A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006
Deckelnick, Klaus; Hinze, Michael
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
2012
Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038
Deckelnick, Klaus; Hinze, Michael
2011
Numerical analysis of an inverse problem for the eikonal equation. Zbl 1244.65093
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa
2011
Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070
Deckelnick, Klaus; Hinze, Michael
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
2010
Error analysis for the approximation of axisymmetric Willmore flow by $$C^{1}$$-finite elements. Zbl 1227.65079
Deckelnick, Klaus; Schieweck, Friedhelm
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
2009
Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065
Deckelnick, Klaus; Grunau, Hans-Christoph
2009
Error analysis for the elastic flow of parametrized curves. Zbl 1198.65183
Deckelnick, Klaus; Dziuk, Gerhard
2009
Stability and symmetry in the Navier problem for the one-dimensional Willmore equation. Zbl 1177.53038
Deckelnick, Klaus; Grunau, Hans-Christoph
2009
Optimal control of the propagation of a graph in inhomogeneous media. Zbl 1282.49003
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa
2009
Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060
Dall&rsquo;Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph
2008
Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400
Deckelnick, K.; Hinze, M.
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
2008
Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055
Deckelnick, Klaus; Hinze, Michael
2007
Boundary value problems for the one-dimensional Willmore equation. Zbl 1127.53002
Deckelnick, Klaus; Grunau, Hans-Christoph
2007
Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026
Barrett, John W.; Deckelnick, Klaus
2007
Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047
Deckelnick, Klaus; Dziuk, Gerhard
2006
Propagation of graphs in two-dimensional inhomogeneous media. Zbl 1126.65073
Deckelnick, Klaus; Elliott, Charles M.
2006
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2005
Fully discrete finite element approximation for anisotropic surface diffusion of graphs. Zbl 1094.65098
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2005
Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115
Deckelnick, Klaus; Elliott, Charles M.
2004
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027
Deckelnick, Klaus; Hinze, Michael
2004
Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces. Zbl 1058.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
2003
Mean curvature flow and related topics. Zbl 1027.65134
Deckelnick, Klaus; Dziuk, Gerhard
2003
Numerical approximation of mean curvature flow of graphs and level sets. Zbl 1036.65076
Deckelnick, Klaus; Dziuk, Gerhard
2003
Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053
Deckelnick, Klaus; Hinze, Michael
2003
A fully discrete numerical scheme for weighted mean curvature flow. Zbl 0999.65103
Deckelnick, Klaus; Dziuk, Gerhard
2002
Numerical diffusion-induced grain boundary motion. Zbl 0991.35095
Deckelnick, K.; Elliott, C. M.; Styles, V.
2001
Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow. Zbl 0989.65103
Deckelnick, Klaus; Dziuk, Gerhard
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.
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
2000
Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow. Zbl 0997.65112
Deckelnick, K.
2000
$$W^{1, \infty}$$-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077
Deckelnick, Klaus; Siebert, Kunibert G.
2000
Optimal error estimates for the Stokes and Navier-Stokes equations with slip boundary condition. Zbl 0948.76035
Bänsch, Eberhard; Deckelnick, Klaus
1999
Discrete anisotropic curvature flow of graphs. Zbl 0948.65138
Deckelnick, Klaus; Dziuk, Gerhard
1999
Local and global existence results for anisotropic Hele-Shaw flows. Zbl 0922.76150
Deckelnick, Klaus; Elliott, Charles M.
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.
1998
Weak solutions of the curve shortening flow. Zbl 0990.35076
Deckelnick, Klaus
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.
1997
On the approximation of the curve shortening flow. Zbl 0830.65096
Deckelnick, K.; Dziuk, G.
1995
Convergence of a finite element method for non-parametric mean curvature flow. Zbl 0838.65103
Deckelnick, Klaus; Dziuk, Gerhard
1995
Parametric mean curvature evolution with a Dirichlet boundary condition. Zbl 0810.53002
Deckelnick, Klaus
1995
$$L^ 2$$ decay for the compressible Navier-Stokes equations in unbounded domains. Zbl 0798.35124
Deckelnick, Klaus
1993
Decay estimates for the compressible Navier-Stokes equations in unbounded domains. Zbl 0752.35048
Deckelnick, Klaus
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
1990
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#### Cited by 683 Authors

 25 Garcke, Harald 25 Nürnberg, Robert 21 Barrett, John W. 21 Elliott, Charles M. 17 Deckelnick, Klaus 16 Hinze, Michael 13 Casas, Eduardo 11 Mateos, Mariano 10 Gong, Wei 10 Tan, Zhong 9 Neitzel, Ira 9 Wollner, Winnifried 9 Yang, Tong 8 Dall’Acqua, Anna 8 Olshanskii, Maxim A. 8 Rösch, Arnd 8 Vexler, Boris 7 Beneš, Michal 7 Brenner, Susanne Cecelia 7 Grunau, Hans-Christoph 7 Nochetto, Ricardo Horacio 7 Ševčovič, Daniel 7 Styles, Vanessa 7 Tröltzsch, Fredi 7 Ukai, Seiji 7 Wachsmuth, Daniel 6 Chrysafinos, Konstantinos 6 Guo, Boling 6 Hansbo, Peter 6 Larson, Mats G. 6 Li, Buyang 6 Pfefferer, Johannes 6 Reusken, Arnold 6 Wachsmuth, Gerd 6 Wang, Wenjun 6 Yao, Zhengan 5 Bartels, Sören 5 Eichmann, Sascha 5 Fritz, Hans 5 Kovács, Balázs 5 Lapin, Aleksandr Vasil’evich 5 Lubich, Christian 5 Mikula, Karol 5 Qin, Yuming 5 Stinner, Bjorn 5 Wu, Guochun 5 Xi, Xiaoyu 5 Yan, Ningning 4 Apel, Thomas 4 Bao, Weizhu 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 Pozzi, Paola 4 Singler, John R. 4 Voigt, Axel 4 Wei, Ruiying 4 Wheeler, Glen E. 4 Xu, Yan 4 Yazaki, Shigetoshi 4 Zhang, Yangwen 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 Christof, Constantin 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 Hu, Weiwei 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 ...and 583 more Authors
all top 5

#### Cited in 143 Serials

 36 Numerische Mathematik 27 Journal of Scientific Computing 26 Journal of Computational Physics 26 SIAM Journal on Numerical Analysis 26 Computational Optimization and Applications 22 Journal of Differential Equations 15 Mathematics of Computation 13 Journal of Mathematical Analysis and Applications 11 SIAM Journal on Control and Optimization 11 Applied Numerical Mathematics 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Computational and Applied 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 The Journal of Geometric Analysis 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): Mathematical Modelling and Numerical Analysis 7 Computers & Mathematics with Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Inverse Problems 6 Mathematical Methods in the Applied Sciences 6 Numerical Functional Analysis and Optimization 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 Numerical Algorithms 4 Discrete and Continuous Dynamical Systems. Series B 4 Advances in Calculus of Variations 3 Applicable Analysis 3 Acta Applicandae Mathematicae 3 Annals of Global Analysis and Geometry 3 Physica D 3 European Journal of Applied Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 3 Interfaces and Free Boundaries 3 Computational Methods in Applied Mathematics 3 Geometric Flows 3 SMAI Journal of Computational Mathematics 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 Mathematicae Applicatae Sinica. English Series 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 Vietnam Journal of Mathematics 2 Analysis (München) 2 Foundations of Computational Mathematics 2 Journal of Numerical Mathematics 2 Milan Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 SIAM/ASA Journal on Uncertainty Quantification 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 Canadian Journal of Mathematics 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 Applied Mathematics Letters 1 Journal of Global Optimization 1 International Journal of Computer Mathematics ...and 43 more Serials
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#### Cited in 37 Fields

 318 Partial differential equations (35-XX) 301 Numerical analysis (65-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 127 Fluid mechanics (76-XX) 85 Differential geometry (53-XX) 48 Mechanics of deformable solids (74-XX) 33 Global analysis, analysis on manifolds (58-XX) 29 Biology and other natural sciences (92-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Ordinary differential equations (34-XX) 18 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 6 Probability theory and stochastic processes (60-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 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Statistics (62-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 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)