메뉴 건너뛰기




Volumn 79, Issue 3, 1998, Pages 371-396

An iterative substructuring method for the p-version of the boundary element method for hypersingular integral operators in three dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032355332     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050344     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 0026169599 scopus 로고
    • Efficient preconditioning for the p-version finite element method in two dimensions
    • Babuška, I., Craig, A., Mandel, J., Pitkäranta, J. (1991): Efficient preconditioning for the p-version finite element method in two dimensions. SIAM J. Numer. Anal. 28, 624-661
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 624-661
    • Babuška, I.1    Craig, A.2    Mandel, J.3    Pitkäranta, J.4
  • 2
    • 0024715322 scopus 로고
    • The problem of selecting the shape functions for a p-type finite element
    • Babuška, I., Griebel, M., Pitkäranta, J. (1989): The problem of selecting the shape functions for a p-type finite element. Internat. J. Numer. Methods Engrg. 28, 1891-1908
    • (1989) Internat. J. Numer. Methods Engrg. , vol.28 , pp. 1891-1908
    • Babuška, I.1    Griebel, M.2    Pitkäranta, J.3
  • 4
    • 0039404266 scopus 로고    scopus 로고
    • Submitted for publication
    • 3. Submitted for publication
    • 3
    • Heuer, N.1
  • 5
    • 0040589424 scopus 로고    scopus 로고
    • 3 - The p-version
    • Hackbusch, W., Wittum, G. (eds.) Boundary Elements: Implementation and Analysis of Advanced Algorithms. Notes on Numerical Fluid Mechanics, Braunschweig, Wiesbaden, Vieweg-Verlag, Kiel
    • 3 - the p-version. In: Hackbusch, W., Wittum, G. (eds.) Boundary Elements: Implementation and Analysis of Advanced Algorithms. vol. 54 of Notes on Numerical Fluid Mechanics, Braunschweig, Wiesbaden, Vieweg-Verlag, 126-135. Proceedings of the 12th GAMM-Seminar, Kiel
    • (1996) Proceedings of the 12th GAMM-seminar , vol.54 , pp. 126-135
    • Heuer, N.1
  • 6
    • 0041183465 scopus 로고    scopus 로고
    • Efficient algorithms for the p-version of the boundary element method
    • Heuer, N. (1996): Efficient algorithms for the p-version of the boundary element method. J. Integral Equations Appl. 8, 337-361
    • (1996) J. Integral Equations Appl. , vol.8 , pp. 337-361
    • Heuer, N.1
  • 8
    • 0002349877 scopus 로고
    • Domain decomposition in boundary element methods
    • Glowinski, R., Kuznetsov, Y.A., Meurant, G.A., Périaux, J., Widlund, O.B. (eds.) Philadelphia, SIAM
    • Hsiao, G.C., Wendland, W.L. (1991): Domain decomposition in boundary element methods. In: Glowinski, R., Kuznetsov, Y.A., Meurant, G.A., Périaux, J., Widlund, O.B. (eds.) Domain Decomposition Methods for Partial Differential Equations. Philadelphia, SIAM 41-49
    • (1991) Domain Decomposition Methods for Partial Differential Equations , pp. 41-49
    • Hsiao, G.C.1    Wendland, W.L.2
  • 9
    • 0000441803 scopus 로고
    • Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition
    • Langer, U. (1994): Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Contemp. Math. 157, 335-344
    • (1994) Contemp. Math. , vol.157 , pp. 335-344
    • Langer, U.1
  • 10
    • 0000587379 scopus 로고
    • Relèvements de traces polynomiales et interpolations hilbertiennes entre espaces de polynômes
    • Maday, Y. (1989): Relèvements de traces polynomiales et interpolations hilbertiennes entre espaces de polynômes. C. R. Acad. Sci. Paris Sér. I. Math. 309, 463-468
    • (1989) C. R. Acad. Sci. Paris Sér. I. Math. , vol.309 , pp. 463-468
    • Maday, Y.1
  • 11
    • 0004131331 scopus 로고
    • Domain decomposition and Schwarz methods in a subspace for approximate solution of elliptic boundary value problems
    • PhD thesis, Novosibirsk, USSR
    • Nepomnyaschikh, S.V. (1986): Domain Decomposition and Schwarz Methods in a Subspace for Approximate Solution of Elliptic Boundary Value Problems. PhD thesis, Computing Center of the Siberian Branch of the USSR Academy of Sciences, Novosibirsk, USSR
    • (1986) Computing Center of the Siberian Branch of the USSR Academy of Sciences
    • Nepomnyaschikh, S.V.1
  • 12
    • 21344476056 scopus 로고
    • Additive Schwarz methods for the p-version finite element method
    • Pavarino, L.F. (1994): Additive Schwarz methods for the p-version finite element method. Numer. Math. 66, 493-515
    • (1994) Numer. Math. , vol.66 , pp. 493-515
    • Pavarino, L.F.1
  • 13
    • 0000337361 scopus 로고    scopus 로고
    • A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions
    • Pavarino, L.F., Widlund, O.B. (1996): A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. SIAM J. Numer. Anal. 33, 1303-1335
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1303-1335
    • Pavarino, L.F.1    Widlund, O.B.2
  • 14
    • 0039829372 scopus 로고
    • Boundary elements in domain decomposition methods
    • Steinbach, O. (1994): Boundary elements in domain decomposition methods. Contemp. Math. 180, 343-348
    • (1994) Contemp. Math. , vol.180 , pp. 343-348
    • Steinbach, O.1
  • 16
    • 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. Math. Modeling Numer. Anal. (RAIRO) 25, 783-807
    • (1991) Math. Modeling Numer. Anal. (RAIRO) , vol.25 , pp. 783-807
    • Stephan, E.P.1    Suri, M.2
  • 17
    • 0039404271 scopus 로고
    • Additive Schwarz method for the p-version boundary element method
    • The University of New South Wales, Australia
    • Stephan, E.P., Tran, T. (1995): Additive Schwarz method for the p-version boundary element method. Applied Mathematics Report AMR95/13, The University of New South Wales, Australia
    • (1995) Applied Mathematics Report AMR95/13
    • Stephan, E.P.1    Tran, T.2
  • 18
    • 84985383814 scopus 로고
    • Decomposition in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron
    • Stephan, E.P., von Petersdorff, T. (1990): Decomposition in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron. Math. Nachr. 149, 71-104
    • (1990) Math. Nachr. , vol.149 , pp. 71-104
    • Stephan, E.P.1    Von Petersdorff, T.2
  • 21
    • 0003057625 scopus 로고
    • Optimal iterative refinement methods
    • Chan, T.F., Glowinski, R., Périaux, J., Widlund, O.B. (eds.) Philadelphia, SIAM
    • Widlund, O.B. (1989): Optimal iterative refinement methods. In: Chan, T.F., Glowinski, R., Périaux, J., Widlund, O.B. (eds.) Domain Decomposition Methods for Partial Differential Equations. Philadelphia, SIAM 114-125
    • (1989) Domain Decomposition Methods for Partial Differential Equations , pp. 114-125
    • Widlund, O.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.