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Volumn 83, Issue 4, 1999, Pages 641-666

Exponential convergence of the hp-version for the boundary element method on open surfaces

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EID: 0033424153     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002119900082     Document Type: Article
Times cited : (27)

References (26)
  • 3
    • 84988144316 scopus 로고
    • On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons
    • Babuška, I., Guo, B.Q., Stephan, E.P. (1990): On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons. Math. Meth. Appl. Sci. 12,413-427
    • (1990) Math. Meth. Appl. Sci. , vol.12 , pp. 413-427
    • Babuška, I.1    Guo, B.Q.2    Stephan, E.P.3
  • 4
    • 0004234640 scopus 로고
    • Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin
    • Bergh, J., Löfström, J. (1976): Interpolation Spaces, vol. 223 of Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin
    • (1976) Interpolation Spaces , vol.223
    • Bergh, J.1    Löfström, J.2
  • 5
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: Elementary results
    • Costabel, M. (1988): Boundary integral operators on Lipschitz domains: Elementary results. SIAM J. Math. Anal. 19(3), 613-626
    • (1988) SIAM J. Math. Anal. , vol.19 , Issue.3 , pp. 613-626
    • Costabel, M.1
  • 7
    • 84988169966 scopus 로고
    • A boundary element Galerkin method for a hypersingular integral equation on open surfaces
    • Ervin, V.J., Stephan, E.P. ( 1990): A boundary element Galerkin method for a hypersingular integral equation on open surfaces. Math. Meth. Appl. Sci. 13, 281-289
    • (1990) Math. Meth. Appl. Sci. , vol.13 , pp. 281-289
    • Ervin, V.J.1    Stephan, E.P.2
  • 8
    • 0042893223 scopus 로고
    • The h-p version of the finite element method, part 1: The basic approximation results
    • Guo, B.Q., Babuška, I. (1986): The h-p version of the finite element method, part 1: The basic approximation results. Comp. Mech. 1, 21-41
    • (1986) Comp. Mech. , vol.1 , pp. 21-41
    • Guo, B.Q.1    Babuška, I.2
  • 9
    • 0041061868 scopus 로고    scopus 로고
    • The h-p version of the boundary element method for transmission problems with piecewise analytic data
    • Guo, B.Q., Heuer, N., Stephan, E.P. (1996): The h-p version of the boundary element method for transmission problems with piecewise analytic data. SIAM J. Numer. Anal. 33, 789-808
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 789-808
    • Guo, B.Q.1    Heuer, N.2    Stephan, E.P.3
  • 11
    • 0039283059 scopus 로고    scopus 로고
    • The hp-version of the boundary element method on polygons
    • Heuer, N., Stephan, E.P. (1996): The hp-version of the boundary element method on polygons. J. Int. Eqns. Appl. 8, 173-212
    • (1996) J. Int. Eqns. Appl. , vol.8 , pp. 173-212
    • Heuer, N.1    Stephan, E.P.2
  • 12
    • 0030382973 scopus 로고    scopus 로고
    • The hp-version of the boundary element method for the Helmholtz screen problems
    • Holm, H., Maischak, M., Stephan, E.P. ( 1996): The hp-version of the boundary element method for the Helmholtz screen problems. Computing 57, 105-134
    • (1996) Computing , vol.57 , pp. 105-134
    • Holm, H.1    Maischak, M.2    Stephan, E.P.3
  • 19
    • 0016993574 scopus 로고
    • Singularity at the corner of a flat plate
    • Morrison, J.A., Lewis, J.A. (1976): Singularity at the corner of a flat plate. SIAM J. Appl. Math. 31, 233-250
    • (1976) SIAM J. Appl. Math. , vol.31 , pp. 233-250
    • Morrison, J.A.1    Lewis, J.A.2
  • 20
    • 0007488125 scopus 로고    scopus 로고
    • The optimal p-version approximation of singularities on polyhedra in the boundary element method
    • Schwab, C., Suri, M. (1996): The optimal p-version approximation of singularities on polyhedra in the boundary element method. SIAM J. Numer. Anal. 33, 729-759
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 729-759
    • Schwab, C.1    Suri, M.2
  • 22
    • 0040170355 scopus 로고
    • Improved Galerkin methods for integral equations on polygons and polyhedral surfaces
    • Tokyo
    • Stephan, E.P. (1988): Improved Galerkin methods for integral equations on polygons and polyhedral surfaces, in Japan-U.S. Symposium on boundary element methods, Tokyo, 73-80
    • (1988) Japan-U.S. Symposium on Boundary Element Methods , pp. 73-80
    • Stephan, E.P.1
  • 23
    • 0000034795 scopus 로고
    • The h-p version of the boundary element method on polygonal domains with quasiuniform meshes
    • Stephan, E.P., Suri, M. (1991): The h-p version of the boundary element method on polygonal domains with quasiuniform meshes. RAIRO Analy. Numer. 25(6), 783-807
    • (1991) RAIRO Analy. Numer. , vol.25 , Issue.6 , pp. 783-807
    • Stephan, E.P.1    Suri, M.2
  • 25
    • 84985383814 scopus 로고
    • Decompositions in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron
    • 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. Math. Nachrichten 149, 71-104
    • (1990) Math. Nachrichten , vol.149 , pp. 71-104
    • Von Petersdorff, T.1    Stephan, E.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.