## Stephan, Ernst Peter

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 Author ID: stephan.ernst-peter Published as: Stephan, Ernst P.; Stephan, E. P.; Stephan, E.; Stephan, Ernst; Stephan, Ernst Peter more...less Homepage: https://www.ifam.uni-hannover.de/stephan.html External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 215 Publications since 1976, including 2 Books 3 Contributions as Editor Co-Authors: 73 Co-Authors with 195 Joint Publications 1,324 Co-Co-Authors
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### Co-Authors

 15 single-authored 39 Maischak, Matthias 21 Costabel, Martin 19 Heuer, Norbert 16 Wendland, Wolfgang L. 12 Gimperlein, Heiko 11 Carstensen, Carsten 10 Banz, Lothar 10 Ervin, Vincent J. 8 Leydecker, Florian 7 Funken, Stefan A. 7 Gatica, Gabriel N. 7 Mund, Patrick 6 Özdemir, Ceyhun 6 von Petersdorff, Tobias 5 Guo, Benqi 5 Praetorius, Dirk 5 Sloan, Ian Hugh 4 Chernov, Alexey 4 Führer, Thomas 4 Krebs, Andreas 4 Lamichhane, Bishnu Prasad 4 MacCamy, Richard C. 4 Teltscher, Matthias T. 3 Brink, Ulrich 3 Elschner, Johannes 3 Feischl, Michael 3 Hartmann, Thomas 3 Holm, Hinrich 3 Hsiao, George C. 3 Le Gia, Quoc Thong 2 Babuška, Ivo 2 Domínguez-Garcia, Catalina 2 Gatica, Luis F. 2 Gwinner, Joachim 2 Hahne, M. 2 Lamp, Ulrich 2 Mellado, Mario E. 2 Meyer, Fabian 2 Nezhi, Zouhair 2 Oestmann, S. 2 Prato Torres, Ricardo A. 2 Schleicher, T. 2 Suri, Manil 1 Andres, Michael 1 Araya, Rodolfo A. 1 Barrientos, Mauricio A. 1 Bielak, Jacobo 1 Bürger, Raimund 1 Bustinza, Rommel A. 1 Costea, Adrian 1 El-Seoud, S. Abou 1 Fix, George J. 1 Geyn, S. 1 Gläfke, Matthias 1 Hariharan, S. I. 1 Hernandez, Orlando J. 1 Issaoui, Abderrahman 1 Meddahi, Salim 1 Mitscha-Eibl, Gregor 1 Nesemann, Leo 1 Postell, F. V. 1 Poza, Abner H. 1 Ruggeri, Michele 1 Schrohe, Elmar 1 Speck, Frank-Olme 1 Steinbach, Olaf 1 Thies, William 1 von Petersdorf, T. 1 Weiße, J. 1 Weißgerber, V. 1 Whiteman, John Robert 1 Zaprianov, Stefan 1 Zarrabi, Darius
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### Serials

 19 Numerische Mathematik 18 Mathematical Methods in the Applied Sciences 14 Computer Methods in Applied Mechanics and Engineering 13 Applicable Analysis 10 Applied Numerical Mathematics 10 Numerical Methods for Partial Differential Equations 9 Computing 7 Journal of Computational and Applied Mathematics 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 5 Advances in Computational Mathematics 4 IMA Journal of Numerical Analysis 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Journal of Integral Equations and Applications 4 Computational Methods in Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Integral Equations and Operator Theory 3 Mathematische Nachrichten 3 Computational Mechanics 2 Journal of the Australian Mathematical Society, Series B 2 Journal of Mathematical Analysis and Applications 2 International Journal for Numerical Methods in Engineering 2 Quarterly of Applied Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 2 The ANZIAM Journal 1 Manuscripta Geodaetica 1 Discrete Applied Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Calcolo 1 Journal of Integral Equations 1 SIAM Journal on Scientific and Statistical Computing 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Computational Mathematics 1 Communications in Applied Numerical Methods 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Advances in Engineering Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Pure and Applied Mathematics 1 Journal of Numerical Mathematics 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Springer Series in Computational Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of the Korean Society for Industrial and Applied Mathematics
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### Fields

 185 Numerical analysis (65-XX) 133 Partial differential equations (35-XX) 62 Mechanics of deformable solids (74-XX) 51 Integral equations (45-XX) 18 Optics, electromagnetic theory (78-XX) 12 Fluid mechanics (76-XX) 11 Potential theory (31-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

188 Publications have been cited 2,253 times in 1,020 Documents Cited by Year
A direct boundary integral equation method for transmission problems. Zbl 0597.35021
Costabel, Martin; Stephan, Ernst
1985
Boundary integral equations for screen problems in $${\mathbb{R}}^ 3$$. Zbl 0653.35016
Stephan, Ernst P.
1987
On the integral equation method for the plane mixed boundary value problem of the Laplacian. Zbl 0461.65082
Wendland, W. L.; Stephan, E.; Hsiao, G. C.
1979
Coupling of finite and boundary element methods for an elastoplastic interface problem. Zbl 0725.73090
Costabel, Martin; Stephan, Ernst P.
1990
A hypersingular boundary integral method for two-dimensional screen and crack problems. Zbl 0725.73091
Wendland, W. L.; Stephan, E. P.
1990
A posteriori error estimate and h-adaptive algorithm on surfaces from Symm’s integral equation. Zbl 1018.65138
Carstensen, C.; Maischak, M.; Stephan, E. P.
2001
A posteriori error estimates for boundary element methods. Zbl 0831.65120
Carstensen, Carsten; Stephan, Ernst P.
1995
Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation. Zbl 0655.65129
Costabel, Martin; Stephan, Ernst
1985
On the convergence of the p-version of the boundary element Galerkin method. Zbl 0661.65118
Stephan, E. P.; Suri, M.
1989
Regularity of mixed boundary value problems in $${\mathbb{R}}^ 3$$ and boundary element methods on graded meshes. Zbl 0722.35017
von Petersdorff, T.; Stephan, E. P.
1990
Decompositions in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron. Zbl 0780.35026
von Petersdorf, T.; Stephan, E. P.
1990
An improved boundary element Galerkin method for three-dimensional crack problems. Zbl 0632.73091
Costabel, Martin; Stephan, Ernst P.
1987
Adaptive $$hp$$-versions of BEM for Signorini problems. Zbl 1114.74062
Maischak, Matthias; Stephan, Ernst P.
2005
Additive Schwarz methods for the $$h$$-version boundary element method. Zbl 0877.65075
Tran, Thanh; Stephan, Ernst P.
1996
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116
Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P.
2004
Remarks to Galerkin and least squares methods with finite elements for general elliptic problems. Zbl 0353.65067
Stephan, E.; Wendland, W.
1976
The $$h$$-$$p$$ version of the boundary element method on polygonal domains with quasiuniform meshes. Zbl 0744.65073
Stephan, E. P.; Suri, M.
1991
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate. Zbl 1067.74062
Barrientos, Mauricio A.; Gatica, Gabriel N.; Stephan, Ernst P.
2002
Adaptive coupling of boundary elements and finite elements. Zbl 0849.65083
Carstensen, Carsten; Stephan, Ernst P.
1995
Solution procedures for three-dimensional eddy current problems. Zbl 0563.35054
MacCamy, R. C.; Stephan, Ernst
1984
On the h-, p- and h-p versions of the boundary element method. - Numerical results. Zbl 0732.65101
Postell, F. V.; Stephan, E. P.
1990
Adaptive boundary element methods for some first kind integral equations. Zbl 0863.65073
Carstensen, Carsten; Stephan, Ernst P.
1996
An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems. Zbl 0522.73083
Stephan, Ernst P.; Wendland, Wolfgang L.
1985
An adaptive two-level method for the coupling of nonlinear FEM-BEM equations. Zbl 0938.65138
Mund, Patrick; Stephan, Ernst P.
1999
Two-level methods for the single layer potential in $$\mathbb{R}^3$$. Zbl 0901.65072
Mund, P.; Stephan, E. P.; Weiße, J.
1998
On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons. Zbl 0701.65074
Babuška, I.; Guo, B. Q.; Stephan, E. P.
1990
On the convergence of collocation methods for boundary integral equations on polygons. Zbl 0636.65122
Costabel, Martin; Stephan, Ernst P.
1987
On the adaptive coupling of FEM and BEM in 2-d elasticity. Zbl 0880.73062
Carstensen, C.; Funken, S. A.; Stephan, E. P.
1997
$$hp$$-adaptive two-level methods for boundary integral equations on curves. Zbl 0995.65122
Heuer, N.; Mellado, M. E.; Stephan, E. P.
2001
Integral equations for transmission problems in linear elasticity. Zbl 0694.73008
Costabel, M.; Stephan, E. P.
1990
On the $$h$$-$$p$$ version of the boundary element method for Symm’s integral equation on polygons. Zbl 0842.65076
Ervin, V. J.; Heuer, N.; Stephan, E. P.
1993
Exponential convergence of the $$hp$$-version for the boundary element method on open surfaces. Zbl 0946.65120
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
A boundary integral equation method for three-dimensional crack problems in elasticity. Zbl 0608.73097
Stephan, E. P.
1986
Boundary integral equations for mixed boundary value problems in $$R^ 3$$. Zbl 0649.35022
Stephan, Ernst P.
1987
Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. Zbl 0671.35018
Stephan, E.; Whiteman, J. R.
1988
Adaptive multilevel BEM for acoustic scattering. Zbl 0916.76042
Maischak, M.; Mund, P.; Stephan, E. P.
1997
Duality estimates for the numerical solution of integral equations. Zbl 0663.65141
Costabel, Martin; Stephan, Ernst P.
1988
On boundary integral equations of the first kind for the bi-Laplacian in a polygonal plane domain. Zbl 0563.45007
Costabel, Martin; Stephan, Ernst; Wendland, Wolfgang L.
1983
Adaptive $$hp$$-versions of boundary element methods for elastic contact problems. Zbl 1191.74054
Maischak, Matthias; Stephan, Ernst P.
2007
A mixed FEM formulation for nonlinear incompressible elasticity in the plane. Zbl 1010.74062
Gatica, Gabriel N.; Stephan, Ernst P.
2002
Galerkin collocation for an improved boundary element method for a plane mixed boundary value problem. Zbl 0546.65080
Lamp, U.; Schleicher, T.; Stephan, E.; Wendland, W. L.
1984
On the Dirichlet problem in elasticity for a domain exterior to an arc. Zbl 0742.73026
Hsiao, George C.; Stephan, Ernst P.; Wendland, Wolfgang L.
1991
A posteriori error estimates of $$hp$$-adaptive IPDG-FEM for elliptic obstacle problems. Zbl 1288.65098
Banz, Lothar; Stephan, Ernst P.
2014
Coupling of finite elements and boundary elements for some nonlinear interface problems. Zbl 0778.73076
Stephan, E. P.
1992
A $$p$$-version finite element method for nonlinear elliptic variational inequalities in 2D. Zbl 1133.65042
Krebs, Andreas; Stephan, Ernst P.
2007
The h-p version of the boundary element method with geometric mesh on polygonal domains. Zbl 0727.65097
Babuška, I.; Guo, B. Q.; Stephan, E. P.
1990
A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem. Zbl 1087.65101
Araya, Rodolfo; Poza, Abner H.; Stephan, Ernst P.
2005
Advanced boundary element methods. Treatment of boundary value, transmission and contact problems. Zbl 1429.65001
Gwinner, Joachim; Stephan, Ernst Peter
2018
The $$hp$$-version of the boundary element method for Helmholtz screen problems. Zbl 0859.65122
Holm, H.; Maischak, M.; Stephan, E. P.
1996
$$hp$$-adaptive IPDG/TDG-FEM for parabolic obstacle problems. Zbl 1350.65064
Banz, Lothar; Stephan, Ernst P.
2014
A boundary element method for an exterior problem for three-dimensional Maxwell’s equations. Zbl 0513.65071
MacCamy, Richard C.; Stephan, E.
1983
Boundary elements with mesh refinements for the wave equation. Zbl 1407.65172
Gimperlein, Heiko; Meyer, Fabian; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P.
2018
Collocation with Chebyshev polynomials for Symm’s integral equation on an interval. Zbl 0760.65130
Sloan, I. H.; Stephan, E. P.
1992
On the convergence of collocation methods for Symm’s integral equation on open curves. Zbl 0655.65144
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1988
On the convergence of the multigrid method for a hypersingular integral equation of the first kind. Zbl 0702.65102
von Petersdorff, T.; Stephan, E. P.
1990
Time domain BEM for sound radiation of tires. Zbl 1398.65241
Banz, Lothar; Gimperlein, Heiko; Nezhi, Zouhair; Stephan, Ernst P.
2016
$$hp$$-mortar boundary element method for two-body contact problems with friction. Zbl 1149.74051
Chernov, Alexey; Maischak, Matthias; Stephan, Ernst P.
2008
Curvature terms in the asymptotic expansions for solutions of boundary integral equations on curved polygons. Zbl 0538.35022
Costabel, Martin; Stephan, Ernst
1983
Schwarz iterations for the efficient solution of screen problems with boundary elements. Zbl 0854.65110
Hahne, M.; Stephan, E. P.
1996
A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space. Zbl 1364.65188
Gimperlein, Heiko; Nezhi, Zouhair; Stephan, Ernst P.
2017
Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval. Zbl 0762.65093
Ervin, V. J.; Stephan, E. P.
1992
Multiplicative Schwarz algorithms for the Galerkin boundary element method. Zbl 0980.65139
Maischak, Matthias; Stephan, Ernst P.; Tran, Thanh
2000
Strongly elliptic boundary integral equations for electromagnetic transmission problems. Zbl 0669.35032
Costabel, Martin; Stephan, Ernst P.
1988
Adaptive coupling of boundary elements and mixed finite elements for incompressible elasticity. Zbl 0988.74072
Brink, Ulrich; Stephan, Ernst P.
2001
A skin effect approximation for eddy current problems. Zbl 0595.35096
MacCamy, R. C.; Stephan, Ernst
1985
Boundary integral equations on the sphere with radial basis functions: Error analysis. Zbl 1176.65147
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
2009
Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem. Zbl 0707.65076
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1990
Experimental convergence rates for various couplings of boundary and finite elements. Zbl 0727.65096
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1991
Adaptive time domain boundary element methods with engineering applications. Zbl 1361.65073
Gimperlein, Heiko; Maischak, Matthias; Stephan, Ernst P.
2017
Multigrid solvers and preconditioners for first kind integral equations. Zbl 0756.65131
von Petersdorff, T.; Stephan, E. P.
1992
Iterative substructuring for hypersingular integral equations in $$\mathbb R^3$$. Zbl 0923.65086
Heuer, Norbert; Stephan, Ernst P.
1999
The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102
Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P.
1997
The $$hp$$-version of the boundary element method on polygons. Zbl 0888.65121
Heuer, N.; Stephan, E. P.
1996
The boundary integral method for two-dimensional screen and crack problems. Zbl 0582.73093
Stephan, E. P.; Wendland, W. L.
1984
Additive Schwarz algorithms for the $$p$$ version of the Galerkin boundary element method. Zbl 0953.65085
Tran, Thanh; Stephan, Ernst P.
2000
A $$p$$-adaptive algorithm for the BEM with the hypersingular operator on the plane screen. Zbl 0996.65128
Heuer, Norbert; Mellado, Mario E.; Stephan, Ernst P.
2002
A FEM-BEM coupling method for a nonlinear transmission problem modelling Coulomb friction contact. Zbl 1081.74042
Maischak, Matthias; Stephan, Ernst P.
2005
Remarks to Galerkin and least squares methods with finite elements for general elliptic problems. Zbl 0345.35092
Stephan, Ernst; Wendland, Wolfgang
1976
Adaptive FE-BE coupling for an electromagnetic problem in $$\mathbb R^3$$ – a residual error estimator. Zbl 1227.78022
Leydecker, Florian; Maischak, Matthias; Stephan, Ernst P.; Teltscher, Matthias
2010
Multilevel additive Schwarz method for the $$h$$-$$p$$ version of the Galerkin boundary element method. Zbl 0891.65122
Heuer, Norbert; Stephan, Ernst P.; Tran, Thanh
1998
A discrete collocation method for Symm’s integral equation on curves with corners. Zbl 0868.65098
Elschner, Johannes; Stephan, Ernst P.
1996
A boundary element Galerkin method for a hypersingular integral equation on open surfaces. Zbl 0717.65092
Ervin, V. J.; Stephan, E. P.
1990
An improved boundary element method for the charge density of a thin electrified plate in $${\mathbb{R}}^ 3$$. Zbl 0717.65093
Ervin, V. J.; Stephan, E. P.; El-Seoud, S. Abou
1990
Stabilized mixed $$hp$$-BEM for frictional contact problems in linear elasticity. Zbl 1401.74281
Banz, Lothar; Gimperlein, Heiko; Issaoui, Abderrahman; Stephan, Ernst P.
2017
Preconditioned minimum residual iteration for the $$h$$–$$p$$ version of the coupled FEM/BEM with quasi-uniform meshes. Zbl 0983.65128
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
A posteriori error estimates for FEM-BEM couplings of three-dimensional electromagnetic problems. Zbl 1063.78023
Stephan, E. P.; Maischak, M.
2005
Hierarchical basis preconditioners for first kind integral equations. Zbl 0886.65137
Tran, Thanh; Stephan, Ernst P.; Mund, Patrick
1997
The $$h$$-$$p$$ boundary element method for solving 2- and 3-dimensional problems. Zbl 0918.73290
Stephan, E. P.
1996
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135
Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J.
1997
A priori error estimates forhppenalty BEM for contact problems in elasticity. Zbl 1173.74456
Chernov, A.; Maischak, M.; Stephan, E. P.
2007
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Zbl 1189.65286
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
2010
On the $$h$$-adaptive coupling of FE and BE for viscoplastic and elasto-plastic interface problems. Zbl 0862.73059
Carstensen, Carsten; Zarrabi, Darius; Stephan, Ernst P.
1996
The $$hp$$-version of the boundary element method in $$\mathbb{R}^ 3$$: The basic approximation results. Zbl 0872.65101
Maischak, M.; Stephan, E. P.
1997
A posteriori error estimates for $$hp$$-boundary element methods. Zbl 0882.65103
Carstensen, Carsten; Funken, Stefan A.; Stephan, Ernst P.
1996
Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without $$h$$-weighting factor. Zbl 1303.65091
Feischl, Michael; Führer, Thomas; Mitscha-Eibl, Gregor; Praetorius, Dirk; Stephan, Ernst P.
2014
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics. Zbl 0985.65138
Gatica, Gabriel N.; Heuer, Norbert; Stephan, Ernst P.
2001
An additive Schwarz method for the $$h$$-$$p$$ version of the boundary element method for hypersingular integral equations in $$\mathbb{R}^3$$. Zbl 0978.65110
Heuer, Norbert; Stephan, Ernst P.
2001
Conform and mixed finite element schemes for the Dirichlet problem for the Bilaplacian in plane domains with corners. Zbl 0439.65091
Stephan, E.
1979
A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems. Zbl 1345.74102
Lamichhane, Bishnu P.; Stephan, Ernst P.
2012
The BPX preconditioner for the single layer potential operator. Zbl 0892.65071
Funken, Stefan A.; Stephan, Ernst P.
1997
Schwarz methods and multilevel preconditioners for boundary element methods. Zbl 07384480
Stephan, Ernst P.; Tran, Thanh
2021
A residual a posteriori error estimate for the time-domain boundary element method. Zbl 1452.65382
Gimperlein, Heiko; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P.
2020
A time-dependent FEM-BEM coupling method for fluid-structure interaction in $$3d$$. Zbl 1460.74079
Gimperlein, Heiko; Özdemir, Ceyhun; Stephan, Ernst P.
2020
The saturation assumption yields optimal convergence of two-level adaptive BEM. Zbl 1440.65263
Praetorius, Dirk; Ruggeri, Michele; Stephan, Ernst P.
2020
$$hp$$-version time domain boundary elements for the wave equation on quasi-uniform meshes. Zbl 1441.65074
Gimperlein, Heiko; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P.
2019
Advanced boundary element methods. Treatment of boundary value, transmission and contact problems. Zbl 1429.65001
Gwinner, Joachim; Stephan, Ernst Peter
2018
Boundary elements with mesh refinements for the wave equation. Zbl 1407.65172
Gimperlein, Heiko; Meyer, Fabian; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P.
2018
On the DPG method for Signorini problems. Zbl 1477.65211
Führer, Thomas; Heuer, Norbert; Stephan, Ernst P.
2018
Higher order FEM for the obstacle problem of the $$p$$-Laplacian – a variational inequality approach. Zbl 1440.65176
Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P.
2018
Time domain boundary elements for dynamic contact problems. Zbl 1440.74245
Gimperlein, Heiko; Meyer, Fabian; Özdemir, Ceyhun; Stephan, Ernst P.
2018
Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem. Zbl 1397.65320
Stephan, Ernst P.; Teltscher, Matthias T.
2018
A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space. Zbl 1364.65188
Gimperlein, Heiko; Nezhi, Zouhair; Stephan, Ernst P.
2017
Adaptive time domain boundary element methods with engineering applications. Zbl 1361.65073
Gimperlein, Heiko; Maischak, Matthias; Stephan, Ernst P.
2017
Stabilized mixed $$hp$$-BEM for frictional contact problems in linear elasticity. Zbl 1401.74281
Banz, Lothar; Gimperlein, Heiko; Issaoui, Abderrahman; Stephan, Ernst P.
2017
Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations. Zbl 1372.65317
Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P.
2017
Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements. Zbl 1365.65253
Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P.
2017
A new three-field formulation of the biharmonic problem and its finite element discretization. Zbl 1365.65249
Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P.
2017
Time domain BEM for sound radiation of tires. Zbl 1398.65241
Banz, Lothar; Gimperlein, Heiko; Nezhi, Zouhair; Stephan, Ernst P.
2016
Comparison of mixed $$hp$$-BEM (stabilized and non-stabilized) for frictional contact problems. Zbl 1329.74297
Banz, Lothar; Stephan, Ernst P.
2016
On $$hp$$-adaptive BEM for frictional contact problems in linear elasticity. Zbl 1443.65398
Banz, Lothar; Stephan, Ernst P.
2015
A posteriori error estimates of $$hp$$-adaptive IPDG-FEM for elliptic obstacle problems. Zbl 1288.65098
Banz, Lothar; Stephan, Ernst P.
2014
$$hp$$-adaptive IPDG/TDG-FEM for parabolic obstacle problems. Zbl 1350.65064
Banz, Lothar; Stephan, Ernst P.
2014
Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without $$h$$-weighting factor. Zbl 1303.65091
Feischl, Michael; Führer, Thomas; Mitscha-Eibl, Gregor; Praetorius, Dirk; Stephan, Ernst P.
2014
A $$p$$-hierarchical error estimator for a fem-bem coupling of an eddy current problem in $$\mathbb R^3$$. Zbl 1316.65103
Leydecker, Florian; Maischak, Matthias; Stephan, Ernst P.; Teltscher, Matthias
2013
A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems. Zbl 1345.74102
Lamichhane, Bishnu P.; Stephan, Ernst P.
2012
FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates. Zbl 1242.74108
Domínguez, Catalina; Stephan, Ernst P.; Maischak, Matthias
2012
A FE-BE coupling for a fluid-structure interaction problem: hierarchical a posteriori error estimates. Zbl 1298.65170
Domínguez, Catalina; Stephan, Ernst P.; Maischak, Matthias
2012
Numerical solution of an adhesion problem with FEM and BEM. Zbl 1329.74280
Nesemann, Leo; Stephan, Ernst P.
2012
A least-squares FEM-BEM coupling method for linear elasticity. Zbl 1237.74184
Maischak, M.; Oestmann, S.; Stephan, E. P.
2012
Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators. Zbl 1237.65123
Gläfke, Matthias; Maischak, Matthias; Stephan, Ernst P.
2012
Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction. Zbl 1428.74161
Gimperlein, Heiko; Maischak, Matthias; Schrohe, Elmar; Stephan, Ernst P.
2011
Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM. Zbl 1267.74110
Gatica, Gabriel N.; Maischak, Matthias; Stephan, Ernst P.
2011
Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions. Zbl 1208.65175
Le Gia, Q. T.; Stephan, E. P.; Tran, T.
2011
Adaptive FE-BE coupling for an electromagnetic problem in $$\mathbb R^3$$ – a residual error estimator. Zbl 1227.78022
Leydecker, Florian; Maischak, Matthias; Stephan, Ernst P.; Teltscher, Matthias
2010
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Zbl 1189.65286
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
2010
Adaptive FEM-BEM coupling with a Schur complement error indicator. Zbl 1202.65155
Krebs, Andreas; Maischak, Matthias; Stephan, Ernst P.
2010
A FE/BE coupling for the 3D time-dependent eddy current problem. I: A priori error estimates. Zbl 1213.78035
Prato Torres, Ricardo A.; Stephan, Ernst P.; Leydecker, Florian
2010
A FE/BE coupling for the 3D time-dependent eddy current problem. II: A posteriori error estimates and adaptive computations. Zbl 1283.78007
Prato Torres, Ricardo A.; Stephan, Ernst P.; Leydecker, Florian
2010
A quadratic programming problem arising from the $$p$$-version for obstacle problems. Zbl 1274.90253
Maischak, Matthias; Krebs, Andreas; Stephan, Ernst P.
2010
Boundary integral equations on the sphere with radial basis functions: Error analysis. Zbl 1176.65147
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
2009
The $$hp$$-version of BEM-fast convergence, adaptivity and efficient preconditioning. Zbl 1212.65474
Stephan, Ernst P.
2009
Fast solvers with block-diagonal preconditioners for linear FEM-BEM coupling. Zbl 1224.65265
Funken, Stefan A.; Stephan, Ernst P.
2009
$$hp$$-mortar boundary element method for two-body contact problems with friction. Zbl 1149.74051
Chernov, Alexey; Maischak, Matthias; Stephan, Ernst P.
2008
Exponential convergence of the $$h$$-$$p$$ version BEM for mixed boundary value problems on polyhedrons. Zbl 1157.35029
Holm, H.; Maischak, M.; Stephan, E. P.
2008
Adaptive $$hp$$-versions of boundary element methods for elastic contact problems. Zbl 1191.74054
Maischak, Matthias; Stephan, Ernst P.
2007
A $$p$$-version finite element method for nonlinear elliptic variational inequalities in 2D. Zbl 1133.65042
Krebs, Andreas; Stephan, Ernst P.
2007
A priori error estimates forhppenalty BEM for contact problems in elasticity. Zbl 1173.74456
Chernov, A.; Maischak, M.; Stephan, E. P.
2007
An $$hp$$-adaptive finite element/boundary element coupling method for electromagnetic problems. Zbl 1166.78007
Stephan, E. P.; Maischak, M.; Leydecker, F.
2007
A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions. Zbl 1173.65356
Gatica, Gabriel N.; Gatica, Luis F.; Stephan, Ernst P.
2007
Adaptive BEM for contact problems with friction. Zbl 1208.74172
Chernov, Alexey; Stephan, Ernst P.
2007
An iterative substructuring method for the $$hp$$-version of the BEM on quasi-uniform triangular meshes. Zbl 1125.65112
Heuer, Norbert; Leydecker, Florian; Stephan, Ernst P.
2007
Finite element/boundary element coupling for two-body elastoplastic contact problems with friction. Zbl 1194.74212
Chernov, A.; Geyn, S.; Maischak, M.; Stephan, E. P.
2006
Adaptive $$hp$$-versions of BEM for Signorini problems. Zbl 1114.74062
Maischak, Matthias; Stephan, Ernst P.
2005
A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem. Zbl 1087.65101
Araya, Rodolfo; Poza, Abner H.; Stephan, Ernst P.
2005
A FEM-BEM coupling method for a nonlinear transmission problem modelling Coulomb friction contact. Zbl 1081.74042
Maischak, Matthias; Stephan, Ernst P.
2005
A posteriori error estimates for FEM-BEM couplings of three-dimensional electromagnetic problems. Zbl 1063.78023
Stephan, E. P.; Maischak, M.
2005
Enriched finite element subspaces for dual-dual mixed formulations in fluid mechanics and elasticity. Zbl 1143.76476
Bustinza, Rommel; Gatica, Gabriel N.; González, María; Meddahi, Salim; Stephan, Ernst P.
2005
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116
Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P.
2004
An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. Zbl 1069.65132
Tran, T.; Stephan, E. P.
2004
A least squares coupling method with finite elements and boundary elements for transmission problems. Zbl 1067.65131
Maischak, M.; Stephan, E. P.
2004
A FEM-DtN formulation for a nonlinear exterior problem in incompressible elasticity. Zbl 1137.74438
Gatica, Gabriel N.; Gatica, Luis F.; Stephan, Ernst P.
2003
An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements. Zbl 1020.65093
Heuer, Norbert; Stephan, Ernst P.
2003
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate. Zbl 1067.74062
Barrientos, Mauricio A.; Gatica, Gabriel N.; Stephan, Ernst P.
2002
A mixed FEM formulation for nonlinear incompressible elasticity in the plane. Zbl 1010.74062
Gatica, Gabriel N.; Stephan, Ernst P.
2002
A $$p$$-adaptive algorithm for the BEM with the hypersingular operator on the plane screen. Zbl 0996.65128
Heuer, Norbert; Mellado, Mario E.; Stephan, Ernst P.
2002
A posteriori error estimate and h-adaptive algorithm on surfaces from Symm’s integral equation. Zbl 1018.65138
Carstensen, C.; Maischak, M.; Stephan, E. P.
2001
$$hp$$-adaptive two-level methods for boundary integral equations on curves. Zbl 0995.65122
Heuer, N.; Mellado, M. E.; Stephan, E. P.
2001
Adaptive coupling of boundary elements and mixed finite elements for incompressible elasticity. Zbl 0988.74072
Brink, Ulrich; Stephan, Ernst P.
2001
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics. Zbl 0985.65138
Gatica, Gabriel N.; Heuer, Norbert; Stephan, Ernst P.
2001
An additive Schwarz method for the $$h$$-$$p$$ version of the boundary element method for hypersingular integral equations in $$\mathbb{R}^3$$. Zbl 0978.65110
Heuer, Norbert; Stephan, Ernst P.
2001
Two-level additive Schwarz preconditioners for the $$h$$-$$p$$ version of the Galerkin boundary element method for 2-$$D$$ problems. Zbl 0988.65113
Tran, T.; Stephan, E. P.
2001
Multiplicative Schwarz algorithms for the Galerkin boundary element method. Zbl 0980.65139
Maischak, Matthias; Stephan, Ernst P.; Tran, Thanh
2000
Additive Schwarz algorithms for the $$p$$ version of the Galerkin boundary element method. Zbl 0953.65085
Tran, Thanh; Stephan, Ernst P.
2000
Multilevel methods for the $$h$$-, $$p$$-, and $$hp$$-versions of the boundary element method. Zbl 0971.65112
Stephan, Ernst P.
2000
An adaptive two-level method for hypersingular integral equations in $${\mathbb{R}}^3$$. Zbl 0977.65126
Mund, Patrick; Stephan, Ernst P.
2000
The Poincaré-Steklov operator within countably normed spaces. Zbl 0937.65120
Heuer, N.; Stephan, E. P.
2000
Domain decomposition algorithms for indefinite weakly singular integral equations: The $$h$$ and $$p$$ versions. Zbl 0946.65142
Stephan, Ernst P.; Tran, Thanh
2000
An adaptive two-level method for the coupling of nonlinear FEM-BEM equations. Zbl 0938.65138
Mund, Patrick; Stephan, Ernst P.
1999
Exponential convergence of the $$hp$$-version for the boundary element method on open surfaces. Zbl 0946.65120
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
Iterative substructuring for hypersingular integral equations in $$\mathbb R^3$$. Zbl 0923.65086
Heuer, Norbert; Stephan, Ernst P.
1999
Preconditioned minimum residual iteration for the $$h$$–$$p$$ version of the coupled FEM/BEM with quasi-uniform meshes. Zbl 0983.65128
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
Implicit residual error estimators for the coupling of finite elements and boundary elements. Zbl 0941.65111
Brink, Ulrich; Stephan, Ernst P.
1999
Two-level methods for the single layer potential in $$\mathbb{R}^3$$. Zbl 0901.65072
Mund, P.; Stephan, E. P.; Weiße, J.
1998
Multilevel additive Schwarz method for the $$h$$-$$p$$ version of the Galerkin boundary element method. Zbl 0891.65122
Heuer, Norbert; Stephan, Ernst P.; Tran, Thanh
1998
Boundary integral operators in countably normed spaces. Zbl 0898.65078
Heuer, Norbert; Stephan, Ernst P.
1998
Domain decomposition algorithms for indefinite hypersingular integral equations: The $$h$$ and $$p$$ versions. Zbl 0913.65114
Stephan, Ernst P.; Tran, Thanh
1998
The $$h$$-$$p$$ version of the coupling of finite element and boundary element methods for transmission problems in polyhedral domains. Zbl 0911.65106
Guo, Benqi; Stephan, Ernst P.
1998
Preconditioners for the $$p$$-version of the Galerkin method for a coupled finite element/boundary element system. Zbl 0896.65078
Heuer, Norbert; Stephan, Ernst P.
1998
The preconditioned GMRES method for systems of coupled FEM-BEM equations. Zbl 0920.65069
Mund, Patrick; Stephan, Ernst P.
1998
Wavelet-based preconditioners for boundary integral equations. Zbl 0921.65074
Tran, Thanh; Stephan, Ernst P.; Zaprianov, Stefan
1998
On the adaptive coupling of FEM and BEM in 2-d elasticity. Zbl 0880.73062
Carstensen, C.; Funken, S. A.; Stephan, E. P.
1997
Adaptive multilevel BEM for acoustic scattering. Zbl 0916.76042
Maischak, M.; Mund, P.; Stephan, E. P.
1997
The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102
Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P.
1997
Hierarchical basis preconditioners for first kind integral equations. Zbl 0886.65137
Tran, Thanh; Stephan, Ernst P.; Mund, Patrick
1997
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135
Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J.
1997
The $$hp$$-version of the boundary element method in $$\mathbb{R}^ 3$$: The basic approximation results. Zbl 0872.65101
Maischak, M.; Stephan, E. P.
1997
The BPX preconditioner for the single layer potential operator. Zbl 0892.65071
Funken, Stefan A.; Stephan, Ernst P.
1997
Adaptive coupling and fast solution of FEM-BEM equations for parabolic-elliptic interface problems. Zbl 0871.65088
Mund, Patrick; Stephan, Ernst P.
1997
Fast solvers for nonlinear FEM-BEM equations. Zbl 0881.65102
Funken, S. A.; Stephan, E. P.
1997
Adaptive boundary-element methods for transmission problems. Zbl 0878.65103
Carstensen, Carsten; Stephan, Ernst P.
1997
...and 88 more Documents
all top 5

### Cited by 1,067 Authors

 108 Stephan, Ernst Peter 41 Praetorius, Dirk 39 Heuer, Norbert 36 Gatica, Gabriel N. 26 Wendland, Wolfgang L. 25 Maischak, Matthias 22 Führer, Thomas 18 Karkulik, Michael 17 Costabel, Martin 17 Feischl, Michael 17 Melenk, Jens Markus 16 Carstensen, Carsten 16 Hiptmair, Ralf 16 Sayas, Francisco-Javier 15 Banz, Lothar 15 Hsiao, George C. 15 Steinbach, Olaf 14 Gimperlein, Heiko 13 Meddahi, Salim 12 Bespalov, Alexei 12 Nicaise, Serge 12 Rapún, María-Luisa 11 Claeys, Xavier 11 Gwinner, Joachim 11 Natroshvili, David 11 Zhang, Shougui 10 Aimi, Alessandra 10 Ciarlet, Patrick jun. 10 Diligenti, Mauro 9 Aurada, Markus 9 Nguyen, Hoai-Minh 9 Of, Günther 8 Bonnet-Ben Dhia, Anne-Sophie 8 Chesnel, Lucas 8 Dauge, Monique 8 Gantner, Gregor 8 Guo, Benqi 8 Lamichhane, Bishnu Prasad 8 Péron, Victor 7 Ammari, Habib M. 7 Chandler-Wilde, Simon N. 7 Ferraz-Leite, Samuel 7 Huang, Jin 7 Leydecker, Florian 7 Prössdorf, Siegfried 7 Schmidt, Gunther 7 Schneider, Reinhold 6 Babuška, Ivo 6 Barrenechea, Gabriel R. 6 Chernov, Alexey 6 Duduchava, Roland 6 Elschner, Johannes 6 Erath, Christoph 6 Funken, Stefan A. 6 Gudi, Thirupathi 6 Haberl, Alexander 6 Hewett, David P. 6 Jerez-Hanckes, Carlos 6 Li, Xiaolin 6 Özdemir, Ceyhun 6 Schroder, Andreas 6 Smirnov, Yury G. 6 Speck, Frank-Olme 6 Yan, Guozheng 5 Pinheiro de Castro, Luís Filipe 5 Domínguez-Garcia, Catalina 5 Guo, Ben-Yu 5 Harbrecht, Helmut 5 Le Gia, Quoc Thong 5 Marquez-Duran, Antonio M. 5 Moiola, Andrea 5 Monegato, Giovanni 5 Ovall, Jeffrey S. 5 Rieder, Alexander 5 Schanz, Martin 5 Sloan, Ian Hugh 5 Turc, Catalin 4 Araya, Rodolfo A. 4 Barrios, Tomás P. 4 Betcke, Timo 4 Bruno, Oscar P. 4 Chapko, Roman 4 Domínguez, Víctor 4 Ervin, Vincent J. 4 Faustmann, Markus 4 Hu, Qiya 4 Junghanns, Peter 4 Kapanadze, David 4 Kohr, Mirela 4 Le Louër, Frédérique 4 Li, Zi-Cai 4 Lubuma, Jean Mbaro-Saman 4 Majumder, Papri 4 Martin, Paul Andrew 4 McLean, William 4 Meister, Erhard V. 4 Mikhailov, Sergey E. 4 Mund, Patrick 4 Nazarov, Sergeĭ Aleksandrovich 4 Ovcharova, Nina ...and 967 more Authors
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### Cited in 178 Serials

 75 Numerische Mathematik 57 Computer Methods in Applied Mechanics and Engineering 51 Journal of Computational and Applied Mathematics 49 Computers & Mathematics with Applications 48 Applied Numerical Mathematics 44 Engineering Analysis with Boundary Elements 42 Mathematical Methods in the Applied Sciences 35 Journal of Integral Equations and Applications 29 Mathematics of Computation 27 Applicable Analysis 24 Integral Equations and Operator Theory 22 Journal of Mathematical Analysis and Applications 21 Journal of Computational Physics 20 Numerical Methods for Partial Differential Equations 17 Advances in Computational Mathematics 16 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Engineering 15 Computational Mechanics 13 Computing 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Journal of Scientific Computing 11 SIAM Journal on Numerical Analysis 9 Numerical Functional Analysis and Optimization 9 RAIRO. Modélisation Mathématique et Analyse Numérique 9 Numerical Algorithms 8 Computational Methods in Applied Mathematics 7 Calcolo 7 Mathematische Nachrichten 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 SIAM Journal on Applied Mathematics 6 Wave Motion 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 6 SIAM Journal on Scientific Computing 6 Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Inverse Problems 5 Journal of Engineering Mathematics 5 BIT 5 International Journal of Computer Mathematics 5 Communications in Numerical Methods in Engineering 4 International Journal for Numerical Methods in Fluids 4 Mathematics and Computers in Simulation 4 Quarterly of Applied Mathematics 4 Applied Mathematics Letters 4 Mathematical and Computer Modelling 4 Computational Mathematics and Mathematical Physics 4 Journal of Elasticity 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Science China. Mathematics 3 Acta Mechanica 3 Journal d’Analyse Mathématique 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 Potential Analysis 3 International Applied Mechanics 3 Numerical Linear Algebra with Applications 3 Georgian Mathematical Journal 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Complex Variables and Elliptic Equations 3 SIAM Journal on Imaging Sciences 2 International Journal of Engineering Science 2 Journal of Applied Mathematics and Mechanics 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Acta Mathematica Vietnamica 2 Functional Analysis and its Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Journal of Complexity 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Engineering Computations 2 Lobachevskii Journal of Mathematics 2 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Communications in Computational Physics 2 Inverse Problems and Imaging 2 East Asian Journal on Applied Mathematics 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Ingenieur-Archiv 1 Journal of the Franklin Institute 1 Journal of the Mechanics and Physics of Solids 1 Moscow University Mathematics Bulletin 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals ...and 78 more Serials
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### Cited in 40 Fields

 695 Numerical analysis (65-XX) 556 Partial differential equations (35-XX) 233 Mechanics of deformable solids (74-XX) 160 Integral equations (45-XX) 133 Optics, electromagnetic theory (78-XX) 126 Fluid mechanics (76-XX) 54 Operator theory (47-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 46 Potential theory (31-XX) 21 Approximations and expansions (41-XX) 16 Functional analysis (46-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 6 Ordinary differential equations (34-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geophysics (86-XX) 5 Functions of a complex variable (30-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Integral transforms, operational calculus (44-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

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