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## Apel, Thomas

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 Author ID: apel.thomas Published as: Apel, T.; Apel, Th.; Apel, Thomas External Links: MGP
 Documents Indexed: 62 Publications since 1991, including 5 Books
all top 5

#### Co-Authors

 7 single-authored 12 Nicaise, Serge 11 Pfefferer, Johannes 9 Rösch, Arnd 5 Sirch, Dieter 5 Winkler, Max 4 Schöberl, Joachim 3 Lombardi, Ariel Luis 3 Lube, Gert 3 Mateos, Mariano 3 Meyer, Arnd 3 Steinbach, Olaf 3 Winkler, Gunter 2 Acosta, Gabriel 2 Durán, Ricardo G. 2 Flaig, Thomas G. 2 Jimack, Peter K. 2 Mehrmann, Volker 2 Pester, Cornelia 2 Sändig, Anna-Margarete 2 Watkins, David S. 1 Benedix, Olaf 1 Berzins, Martin 1 Dobrowolski, Manfred 1 Düvelmeyer, Nico 1 Grosman, Sergey 1 Heinrich, Bernd 1 Kempf, Volker 1 Knopp, Tobias 1 Kunert, Gerd 1 Langer, Ulrich 1 Leguillon, Dominique 1 Matthies, Gunar 1 Milde, Frank 1 Plaks, A. 1 Randrianarivony, Maharavo 1 Rogovs, Sergejs 1 Solov’ëv, Sergeĭ Ivanovich 1 Tsukerman, Igor 1 Vexler, Boris 1 Walkley, Mark A. 1 Whiteman, John Robert 1 Yosibash, Zohar
all top 5

#### Serials

 7 SIAM Journal on Numerical Analysis 5 Applied Numerical Mathematics 4 IMA Journal of Numerical Analysis 4 Computing 3 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Calcolo 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computational Science and Engineering 1 Lecture Notes in Applied and Computational Mechanics 1 Mathematical Control and Related Fields
all top 5

#### Fields

 55 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 873 times in 521 Documents Cited by Year
Anisotropic finite elements: Local estimates and applications. Zbl 0917.65090
Apel, Thomas
1999
Anisotropic finite elements: Local estimates and applications. Zbl 0934.65121
Apel, Thomas
1999
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R.
1996
Anisotropic interpolation with applications to the finite element method. Zbl 0746.65077
Apel, T.; Dobrowolski, M.
1992
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Zbl 0911.65107
Apel, Thomas; Nicaise, Serge
1998
Crouzeix-Raviart type finite elements on anisotropic meshes. Zbl 0989.65130
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. Zbl 0933.65136
Apel, Thomas; Lube, Gert
1998
Anisotropic mesh refinement in stabilized Galerkin methods. Zbl 0878.65097
Apel, Thomas; Lube, Gert
1996
Finite element error estimates for Neumann boundary control problems on graded meshes. Zbl 1258.49044
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2012
A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges. Zbl 0998.65116
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
A priori mesh grading for an elliptic problem with Dirac right-hand side. Zbl 1229.65203
Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris
2011
Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Zbl 1029.74042
Apel, Thomas; Mehrmann, Volker; Watkins, David
2002
On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains. Zbl 1330.49037
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2015
Mesh refinement and windowing near edges for some elliptic problem. Zbl 0807.65122
Apel, Th.; Heinrich, B.
1994
A new methodology for anisotropic mesh refinement based upon error gradients. Zbl 1050.65122
Apel, Thomas; Grosman, Sergei; Jimack, Peter K.; Meyer, Arnd
2004
Finite element error estimates on the boundary with application to optimal control. Zbl 1307.65152
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2015
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Zbl 1223.65086
Acosta, Gabriel; Apel, Thomas; Durán, Ricardo G.; Lombardi, Ariel L.
2011
Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes. Zbl 1137.65426
Apel, Thomas; Sändig, Anna-Margarete; Solov’ev, Sergey I.
2002
Optimal control in non-convex domains: a priori discretization error estimates. Zbl 1168.49306
Apel, T.; Rösch, Arnd; Winkler, Gunter
2007
Crank–Nicolson schemes for optimal control problems with evolution equations. Zbl 1248.49041
Apel, Thomas; Flaig, Thomas G.
2012
$$L^\infty$$-error estimates on graded meshes with application to optimal control. Zbl 1282.49020
Apel, Thomas; Rösch, Arnd; Sirch, Dieter
2009
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains. Zbl 1353.65117
Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes
2016
$$L^2$$-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes. Zbl 1224.65252
Apel, Thomas; Sirch, Dieter
2011
Interpolation of non-smooth functions on anisotropic finite element meshes. Zbl 0984.65113
Apel, Thomas
1999
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2018
Multigrid methods for anisotropic edge refinement. Zbl 1036.65106
Apel, Thomas; Schöberl, Joachim
2002
Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem. Zbl 1148.76029
Apel, Thomas; Knopp, Tobias; Lube, Gert
2008
Anisotropic interpolation error estimates for isoparametric quadrilateral finite elements. Zbl 0897.65003
Apel, Th.
1998
Stability of discretizations of the Stokes problem on anisotropic meshes. Zbl 1205.76072
Apel, Thomas; Randrianarivony, H. Maharavo
2003
Comparison of several mesh refinement strategies near edges. Zbl 0865.65086
Apel, Thomas; Milde, Frank
1996
The inf-sup condition for low order elements on anisotropic meshes. Zbl 1108.65117
Apel, T.; Nicaise, S.
2004
Adapted numerical methods for the Poisson equation with $$L^2$$ boundary data in nonconvex domains. Zbl 1371.65118
Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes
2017
Anisotropic mesh refinement in polyhedral domains: error estimates with data in $$L^{2}(\varOmega)$$. Zbl 1312.65175
Apel, Thomas; Lombardi, Ariel L.; Winkler, Max
2014
Nonconforming, anisotropic, rectangular finite elements of arbitrary order for the Stokes problem. Zbl 1205.65307
Apel, Thomas; Matthies, Gunar
2008
Clement-type interpolation on spherical domains – interpolation error estimates and application to a posteriori error estimation. Zbl 1082.65109
Apel, Thomas; Pester, Cornelia
2005
Finite element methods with anisotropic meshes near edges. Zbl 0994.65119
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
Mesh shape and anisotropic elements: Theory and practice. Zbl 0959.65128
Apel, Th.; Berzins, M.; Jimack, P. K.; Kunert, G.; Plaks, A.; Tsukerman, I.; Walkley, M.
2000
Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra. Zbl 1336.49033
Apel, Thomas; Pfefferer, Johannes; Winkler, Max
2016
Optimal control under reduced regularity. Zbl 1171.65053
Apel, Thomas; Winkler, Gunter
2009
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
2008
Elliptic problems in domains with edges: Anisotropic regularity and anisotropic finite element meshes. Zbl 0854.35005
Apel, Thomas; Nicaise, Serge
1996
Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains. Zbl 06983869
Apel, Thomas; Winkler, Max; Pfefferer, Johannes
2018
Graded meshes in optimal control for elliptic partial differential equations: an overview. Zbl 1327.49045
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2014
A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems. Zbl 1210.65187
Apel, Thomas; Nicaise, Serge; Sirch, Dieter
2011
A priori mesh grading for distributed optimal control problems. Zbl 1455.49019
Apel, Thomas; Sirch, Dieter
2012
Discretization error estimates for an optimal control problem in a nonconvex domain. Zbl 1125.65324
Apel, Th.; Rösch, A.; Winkler, G.
2006
Numerical solution of large scale structured polynomial or rational eigenvalue problems. Zbl 1097.65052
Apel, Thomas; Mehrmann, Volker; Watkins, David
2004
Transformation of hexaedral finite element meshes into tetrahedral meshes according to quality criteria. Zbl 1037.65125
Apel, T.; Düvelmeyer, N.
2003
Treatment of boundary layers with anisotropic finite elements. Zbl 0925.65188
Apel, Th.
1998
Finite element methods on locally refined nets for elliptic problems in domains with edges. Zbl 0745.65059
Apel, Thomas
1991
Regularity of the solution of the scalar Signorini problem in polygonal domains. Zbl 1443.35017
Apel, Thomas; Nicaise, Serge
2020
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2016
A priori error estimates for finite element methods for $$H^{(2,1)}$$-elliptic equations. Zbl 1295.65075
Apel, Thomas; Flaig, Thomas G.; Nicaise, Serge
2014
Edge singularities and structure of the 3-D Williams expansion. Zbl 1143.74352
Apel, Thomas; Leguillon, Dominique; Pester, Cornelia; Yosibash, Zohar
2008
A posteriori error estimations of a SUPG method for anisotropic diffusion-convection-reaction problems. Zbl 1129.65081
Apel, Thomas; Nicaise, Serge
2007
Regularity of the solution of the scalar Signorini problem in polygonal domains. Zbl 1443.35017
Apel, Thomas; Nicaise, Serge
2020
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2018
Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains. Zbl 06983869
Apel, Thomas; Winkler, Max; Pfefferer, Johannes
2018
Adapted numerical methods for the Poisson equation with $$L^2$$ boundary data in nonconvex domains. Zbl 1371.65118
Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes
2017
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains. Zbl 1353.65117
Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes
2016
Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra. Zbl 1336.49033
Apel, Thomas; Pfefferer, Johannes; Winkler, Max
2016
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2016
On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains. Zbl 1330.49037
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2015
Finite element error estimates on the boundary with application to optimal control. Zbl 1307.65152
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2015
Anisotropic mesh refinement in polyhedral domains: error estimates with data in $$L^{2}(\varOmega)$$. Zbl 1312.65175
Apel, Thomas; Lombardi, Ariel L.; Winkler, Max
2014
Graded meshes in optimal control for elliptic partial differential equations: an overview. Zbl 1327.49045
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2014
A priori error estimates for finite element methods for $$H^{(2,1)}$$-elliptic equations. Zbl 1295.65075
Apel, Thomas; Flaig, Thomas G.; Nicaise, Serge
2014
Finite element error estimates for Neumann boundary control problems on graded meshes. Zbl 1258.49044
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
2012
Crank–Nicolson schemes for optimal control problems with evolution equations. Zbl 1248.49041
Apel, Thomas; Flaig, Thomas G.
2012
A priori mesh grading for distributed optimal control problems. Zbl 1455.49019
Apel, Thomas; Sirch, Dieter
2012
A priori mesh grading for an elliptic problem with Dirac right-hand side. Zbl 1229.65203
Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris
2011
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Zbl 1223.65086
Acosta, Gabriel; Apel, Thomas; Durán, Ricardo G.; Lombardi, Ariel L.
2011
$$L^2$$-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes. Zbl 1224.65252
Apel, Thomas; Sirch, Dieter
2011
A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems. Zbl 1210.65187
Apel, Thomas; Nicaise, Serge; Sirch, Dieter
2011
$$L^\infty$$-error estimates on graded meshes with application to optimal control. Zbl 1282.49020
Apel, Thomas; Rösch, Arnd; Sirch, Dieter
2009
Optimal control under reduced regularity. Zbl 1171.65053
Apel, Thomas; Winkler, Gunter
2009
Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem. Zbl 1148.76029
Apel, Thomas; Knopp, Tobias; Lube, Gert
2008
Nonconforming, anisotropic, rectangular finite elements of arbitrary order for the Stokes problem. Zbl 1205.65307
Apel, Thomas; Matthies, Gunar
2008
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
2008
Edge singularities and structure of the 3-D Williams expansion. Zbl 1143.74352
Apel, Thomas; Leguillon, Dominique; Pester, Cornelia; Yosibash, Zohar
2008
Optimal control in non-convex domains: a priori discretization error estimates. Zbl 1168.49306
Apel, T.; Rösch, Arnd; Winkler, Gunter
2007
A posteriori error estimations of a SUPG method for anisotropic diffusion-convection-reaction problems. Zbl 1129.65081
Apel, Thomas; Nicaise, Serge
2007
Discretization error estimates for an optimal control problem in a nonconvex domain. Zbl 1125.65324
Apel, Th.; Rösch, A.; Winkler, G.
2006
Clement-type interpolation on spherical domains – interpolation error estimates and application to a posteriori error estimation. Zbl 1082.65109
Apel, Thomas; Pester, Cornelia
2005
A new methodology for anisotropic mesh refinement based upon error gradients. Zbl 1050.65122
Apel, Thomas; Grosman, Sergei; Jimack, Peter K.; Meyer, Arnd
2004
The inf-sup condition for low order elements on anisotropic meshes. Zbl 1108.65117
Apel, T.; Nicaise, S.
2004
Numerical solution of large scale structured polynomial or rational eigenvalue problems. Zbl 1097.65052
Apel, Thomas; Mehrmann, Volker; Watkins, David
2004
Stability of discretizations of the Stokes problem on anisotropic meshes. Zbl 1205.76072
Apel, Thomas; Randrianarivony, H. Maharavo
2003
Transformation of hexaedral finite element meshes into tetrahedral meshes according to quality criteria. Zbl 1037.65125
Apel, T.; Düvelmeyer, N.
2003
Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Zbl 1029.74042
Apel, Thomas; Mehrmann, Volker; Watkins, David
2002
Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes. Zbl 1137.65426
Apel, Thomas; Sändig, Anna-Margarete; Solov’ev, Sergey I.
2002
Multigrid methods for anisotropic edge refinement. Zbl 1036.65106
Apel, Thomas; Schöberl, Joachim
2002
Crouzeix-Raviart type finite elements on anisotropic meshes. Zbl 0989.65130
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges. Zbl 0998.65116
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
Finite element methods with anisotropic meshes near edges. Zbl 0994.65119
Apel, Thomas; Nicaise, Serge; Schöberl, Joachim
2001
Mesh shape and anisotropic elements: Theory and practice. Zbl 0959.65128
Apel, Th.; Berzins, M.; Jimack, P. K.; Kunert, G.; Plaks, A.; Tsukerman, I.; Walkley, M.
2000
Anisotropic finite elements: Local estimates and applications. Zbl 0917.65090
Apel, Thomas
1999
Anisotropic finite elements: Local estimates and applications. Zbl 0934.65121
Apel, Thomas
1999
Interpolation of non-smooth functions on anisotropic finite element meshes. Zbl 0984.65113
Apel, Thomas
1999
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Zbl 0911.65107
Apel, Thomas; Nicaise, Serge
1998
Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. Zbl 0933.65136
Apel, Thomas; Lube, Gert
1998
Anisotropic interpolation error estimates for isoparametric quadrilateral finite elements. Zbl 0897.65003
Apel, Th.
1998
Treatment of boundary layers with anisotropic finite elements. Zbl 0925.65188
Apel, Th.
1998
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R.
1996
Anisotropic mesh refinement in stabilized Galerkin methods. Zbl 0878.65097
Apel, Thomas; Lube, Gert
1996
Comparison of several mesh refinement strategies near edges. Zbl 0865.65086
Apel, Thomas; Milde, Frank
1996
Elliptic problems in domains with edges: Anisotropic regularity and anisotropic finite element meshes. Zbl 0854.35005
Apel, Thomas; Nicaise, Serge
1996
Mesh refinement and windowing near edges for some elliptic problem. Zbl 0807.65122
Apel, Th.; Heinrich, B.
1994
Anisotropic interpolation with applications to the finite element method. Zbl 0746.65077
Apel, T.; Dobrowolski, M.
1992
Finite element methods on locally refined nets for elliptic problems in domains with edges. Zbl 0745.65059
Apel, Thomas
1991
all top 5

#### Cited by 689 Authors

 30 Nicaise, Serge 28 Apel, Thomas 28 Shi, Dongyang 16 Chen, Shaochun 16 Li, Hengguang 15 Franz, Sebastian 12 Mao, Shipeng 11 Brenner, Susanne Cecelia 11 Pfefferer, Johannes 11 Solov’ëv, Sergeĭ Ivanovich 10 Roos, Hans-Görg 8 Otárola, Enrique 8 Rösch, Arnd 7 Gudi, Thirupathi 7 Leykekhman, Dmitriy 7 Lombardi, Ariel Luis 7 Matthies, Gunar 7 Nistor, Victor 7 Wohlmuth, Barbara I. 6 Acosta, Gabriel 6 Dauge, Monique 6 Durán, Ricardo G. 6 Gong, Wei 6 Huang, Weizhang 6 Korotov, Sergey 6 Kunert, Gerd 6 Liu, Xiaowei 6 Salgado, Abner J. 6 Sung, Li-Yeng 6 Zhang, Jin 5 Buffa, Annalisa 5 Costabel, Martin 5 Guan, Hongbo 5 Křížek, Michal 5 Li, Buyang 5 Lube, Gert 5 Mateos, Mariano 5 Melenk, Jens Markus 5 Perotto, Simona 5 Schwab, Christoph 5 Tang, Yifa 5 Winkler, Max 5 Zhang, Yangwen 5 Zhao, Jikun 4 Auricchio, Ferdinando 4 Ciarlet, Patrick jun. 4 Lefieux, Adrien 4 Li, Jichun 4 Liang, Hui 4 Linß, Torsten 4 Liu, Jun 4 Mehrmann, Volker 4 Micheletti, Stefano 4 Nkemzi, Boniface 4 Nochetto, Ricardo Horacio 4 Rukavishnikov, Viktor Anatol’evich 4 Shi, Zhengguang 4 Singler, John R. 4 Sirch, Dieter 4 Tobiska, Lutz 4 Toulopoulos, Ioannis 4 Vexler, Boris 4 Wang, Fenling 4 Wick, Thomas 4 Yan, Ningning 4 Zhao, Yanmin 4 Zhu, Guoqing 4 Zhu, Huiqing 3 Ainsworth, Mark 3 Bacuta, Constantin 3 Casas, Eduardo 3 Chen, Gang 3 Chowdhury, Sudipto Paul 3 Chrysafinos, Konstantinos 3 Codina, Ramon 3 Cui, Jintao 3 Dolejší, Vít 3 Farhloul, Mohamed 3 Hannukainen, Antti 3 He, Wenming 3 Hinze, Michael 3 Jimack, Peter K. 3 Karkulik, Michael 3 Kobayashi, Kenta 3 Kopteva, Natalia Viktorovna 3 Langer, Ulrich 3 Li, Fengyan 3 Lubuma, Jean Mbaro-Saman 3 Mirebeau, Jean-Marie 3 Monzón, Gabriel 3 Omer, Netta 3 Ovall, Jeffrey S. 3 Paquet, Luc 3 Reali, Alessandro 3 Sändig, Anna-Margarete 3 Schopf, Martin 3 Shi, Zhongci 3 Solov’ev, P. S. 3 Stynes, Martin 3 Sung, Liyeng ...and 589 more Authors
all top 5

#### Cited in 104 Serials

 34 Mathematics of Computation 34 Applied Numerical Mathematics 33 Journal of Computational and Applied Mathematics 31 Computer Methods in Applied Mechanics and Engineering 31 Numerische Mathematik 30 Computers & Mathematics with Applications 18 SIAM Journal on Numerical Analysis 18 Numerical Methods for Partial Differential Equations 16 Journal of Computational Physics 16 Applied Mathematics and Computation 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Mathematical Methods in the Applied Sciences 11 Journal of Scientific Computing 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Computational Optimization and Applications 8 Computing 7 Applications of Mathematics 7 SIAM Journal on Scientific Computing 6 Calcolo 6 SIAM Journal on Control and Optimization 6 Linear Algebra and its Applications 6 Lobachevskii Journal of Mathematics 5 International Journal for Numerical Methods in Engineering 5 Numerical Functional Analysis and Optimization 5 Advances in Computational Mathematics 4 BIT 4 Applied Mathematics and Mechanics. (English Edition) 4 Numerical Algorithms 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Journal of Systems Science and Complexity 4 Computational Methods in Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Analysis and Applications 3 Mathematics and Computers in Simulation 3 Computational Mechanics 3 Applied Mathematics Letters 3 Differential Equations 3 Journal of Numerical Mathematics 3 Results in Applied Mathematics 2 Acta Mechanica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Integral Equations and Applications 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 Applied Mathematics. Series B (English Edition) 2 Communications in Numerical Methods in Engineering 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Geosciences 2 Engineering Computations 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 S$$\vec{\text{e}}$$MA Journal 2 ISRN Applied Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Prikladnaya Matematika i Mekhanika 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Optimization 1 Constructive Approximation 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Journal of Mathematical Imaging and Vision 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Matematicheskie Trudy 1 The ANZIAM Journal 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 The Australian Journal of Mathematical Analysis and Applications 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 Science China. Mathematics ...and 4 more Serials
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#### Cited in 33 Fields

 449 Numerical analysis (65-XX) 250 Partial differential equations (35-XX) 86 Fluid mechanics (76-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 40 Mechanics of deformable solids (74-XX) 20 Optics, electromagnetic theory (78-XX) 14 Approximations and expansions (41-XX) 8 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 7 Geophysics (86-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)