Gimperlein, Heiko; Nezhi, Zouhair; Stephan, Ernst P. A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space. (English) Zbl 1364.65188 Math. Methods Appl. Sci. 40, No. 2, 448-462 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M38 35L05 65M15 PDFBibTeX XMLCite \textit{H. Gimperlein} et al., Math. Methods Appl. Sci. 40, No. 2, 448--462 (2017; Zbl 1364.65188) Full Text: DOI arXiv
Leydecker, Florian; Maischak, Matthias; Stephan, Ernst P.; Teltscher, Matthias Adaptive FE-BE coupling for an electromagnetic problem in \(\mathbb R^3\) – a residual error estimator. (English) Zbl 1227.78022 Math. Methods Appl. Sci. 33, No. 18, 2162-2186 (2010). Reviewer: Tilmann Glimm (Bellingham) MSC: 78M10 78M15 65N15 65N30 65N38 65N50 PDFBibTeX XMLCite \textit{F. Leydecker} et al., Math. Methods Appl. Sci. 33, No. 18, 2162--2186 (2010; Zbl 1227.78022) Full Text: DOI
Holm, H.; Maischak, M.; Stephan, E. P. Exponential convergence of the \(h\)-\(p\) version BEM for mixed boundary value problems on polyhedrons. (English) Zbl 1157.35029 Math. Methods Appl. Sci. 31, No. 17, 2069-2093 (2008). MSC: 35J25 65N30 65N12 PDFBibTeX XMLCite \textit{H. Holm} et al., Math. Methods Appl. Sci. 31, No. 17, 2069--2093 (2008; Zbl 1157.35029) Full Text: DOI
Chernov, Alexey; Maischak, Matthias; Stephan, Ernst P. \(hp\)-mortar boundary element method for two-body contact problems with friction. (English) Zbl 1149.74051 Math. Methods Appl. Sci. 31, No. 17, 2029-2054 (2008). MSC: 74S15 74M15 74M10 PDFBibTeX XMLCite \textit{A. Chernov} et al., Math. Methods Appl. Sci. 31, No. 17, 2029--2054 (2008; Zbl 1149.74051) Full Text: DOI
Gatica, Gabriel N.; Gatica, Luis F.; Stephan, Ernst P. A FEM-DtN formulation for a nonlinear exterior problem in incompressible elasticity. (English) Zbl 1137.74438 Math. Methods Appl. Sci. 26, No. 2, 151-170 (2003). MSC: 74S05 65N15 65N30 74G15 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Methods Appl. Sci. 26, No. 2, 151--170 (2003; Zbl 1137.74438) Full Text: DOI
Gatica, Gabriel N.; Heuer, Norbert; Stephan, Ernst P. An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics. (English) Zbl 0985.65138 Math. Methods Appl. Sci. 24, No. 3, 179-191 (2001). Reviewer: Dinh Nho Hao (Frankfurt am Main) MSC: 65N15 65N38 74S05 74S15 74B05 65N30 35J25 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Methods Appl. Sci. 24, No. 3, 179--191 (2001; Zbl 0985.65138) Full Text: DOI
Brink, Ulrich; Stephan, Ernst P. Implicit residual error estimators for the coupling of finite elements and boundary elements. (English) Zbl 0941.65111 Math. Methods Appl. Sci. 22, No. 11, 923-936 (1999). Reviewer: V.A.Kostova (Russe) MSC: 65N30 65N38 35J25 74M15 74S05 65N15 74S15 PDFBibTeX XMLCite \textit{U. Brink} and \textit{E. P. Stephan}, Math. Methods Appl. Sci. 22, No. 11, 923--936 (1999; Zbl 0941.65111) Full Text: DOI
Maischak, M.; Stephan, E. P. The \(hp\)-version of the boundary element method in \(\mathbb{R}^ 3\): The basic approximation results. (English) Zbl 0872.65101 Math. Methods Appl. Sci. 20, No. 5, 461-476 (1997). Reviewer: J.Elschner (Berlin) MSC: 65N38 65N12 35J05 PDFBibTeX XMLCite \textit{M. Maischak} and \textit{E. P. Stephan}, Math. Methods Appl. Sci. 20, No. 5, 461--476 (1997; Zbl 0872.65101) Full Text: DOI
Mund, Patrick; Stephan, Ernst P. Adaptive coupling and fast solution of FEM-BEM equations for parabolic-elliptic interface problems. (English) Zbl 0871.65088 Math. Methods Appl. Sci. 20, No. 5, 403-423 (1997). Reviewer: E.D’yakonov (Moskva) MSC: 65M60 65M15 65M50 35M10 65M70 PDFBibTeX XMLCite \textit{P. Mund} and \textit{E. P. Stephan}, Math. Methods Appl. Sci. 20, No. 5, 403--423 (1997; Zbl 0871.65088) Full Text: DOI
Stephan, Ernst P.; Wendland, Wolfgang L. G. C. Hsiao on his 60th birthday. (English) Zbl 0867.01028 Math. Methods Appl. Sci. 20, No. 5, 383-384 (1997). MSC: 01A70 01A65 PDFBibTeX XMLCite \textit{E. P. Stephan} and \textit{W. L. Wendland}, Math. Methods Appl. Sci. 20, No. 5, 383--384 (1997; Zbl 0867.01028) Full Text: DOI
von Petersdorff, T.; Stephan, E. P. Regularity of mixed boundary value problems in \({\mathbb{R}}^ 3\) and boundary element methods on graded meshes. (English) Zbl 0722.35017 Math. Methods Appl. Sci. 12, No. 3, 229-249 (1990). Reviewer: G.Warnecke (Stuttgart) MSC: 35B65 65N30 35J05 PDFBibTeX XMLCite \textit{T. von Petersdorff} and \textit{E. P. Stephan}, Math. Methods Appl. Sci. 12, No. 3, 229--249 (1990; Zbl 0722.35017) Full Text: DOI
Ervin, V. J.; Stephan, E. P.; El-Seoud, S. Abou An improved boundary element method for the charge density of a thin electrified plate in \({\mathbb{R}}^ 3\). (English) Zbl 0717.65093 Math. Methods Appl. Sci. 13, No. 4, 291-303 (1990). Reviewer: J.A.Crow MSC: 65N38 65R20 35J05 35C15 45E10 78A30 PDFBibTeX XMLCite \textit{V. J. Ervin} et al., Math. Methods Appl. Sci. 13, No. 4, 291--303 (1990; Zbl 0717.65093) Full Text: DOI
Ervin, V. J.; Stephan, E. P. A boundary element Galerkin method for a hypersingular integral equation on open surfaces. (English) Zbl 0717.65092 Math. Methods Appl. Sci. 13, No. 4, 281-289 (1990). Reviewer: J.A.Crow MSC: 65N38 65R20 35J05 35C15 45E10 PDFBibTeX XMLCite \textit{V. J. Ervin} and \textit{E. P. Stephan}, Math. Methods Appl. Sci. 13, No. 4, 281--289 (1990; Zbl 0717.65092) Full Text: DOI
Babuška, I.; Guo, B. Q.; Stephan, E. P. On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons. (English) Zbl 0701.65074 Math. Methods Appl. Sci. 12, No. 5, 413-427 (1990). Reviewer: C.I.Gheorghiu MSC: 65N38 65N30 35J05 PDFBibTeX XMLCite \textit{I. Babuška} et al., Math. Methods Appl. Sci. 12, No. 5, 413--427 (1990; Zbl 0701.65074) Full Text: DOI
Stephan, E.; Whiteman, J. R. Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. (English) Zbl 0671.35018 Math. Methods Appl. Sci. 10, No. 3, 339-350 (1988). Reviewer: P.K.Mahanti MSC: 35J05 35A20 65M60 35A35 PDFBibTeX XMLCite \textit{E. Stephan} and \textit{J. R. Whiteman}, Math. Methods Appl. Sci. 10, No. 3, 339--350 (1988; Zbl 0671.35018) Full Text: DOI
Stephan, E. P. A boundary integral equation method for three-dimensional crack problems in elasticity. (English) Zbl 0608.73097 Math. Methods Appl. Sci. 8, 609-623 (1986). Reviewer: P.Narain MSC: 74R05 65R20 65N30 35S15 47Gxx PDFBibTeX XMLCite \textit{E. P. Stephan}, Math. Methods Appl. Sci. 8, 609--623 (1986; Zbl 0608.73097) Full Text: DOI
Wendland, W. L.; Stephan, E.; Hsiao, G. C. On the integral equation method for the plane mixed boundary value problem of the Laplacian. (English) Zbl 0461.65082 Math. Methods Appl. Sci. 1, 265-321 (1979). MSC: 65N35 35J05 65N30 76S05 74B99 74H99 80A10 76B99 35A22 65R20 45B05 45F05 45L05 31A25 PDFBibTeX XMLCite \textit{W. L. Wendland} et al., Math. Methods Appl. Sci. 1, 265--321 (1979; Zbl 0461.65082) Full Text: DOI
Stephan, E. Conform and mixed finite element schemes for the Dirichlet problem for the Bilaplacian in plane domains with corners. (English) Zbl 0439.65091 Math. Methods Appl. Sci. 1, 354-382 (1979). MSC: 65N30 74K20 74S05 35A35 31A30 35J40 65N15 PDFBibTeX XMLCite \textit{E. Stephan}, Math. Methods Appl. Sci. 1, 354--382 (1979; Zbl 0439.65091) Full Text: DOI