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Volumn 125, Issue 1-2, 2000, Pages 521-537

Domain decomposition methods via boundary integral equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SYSTEM STABILITY;

EID: 0034515401     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00488-X     Document Type: Article
Times cited : (58)

References (35)
  • 1
    • 0032202917 scopus 로고    scopus 로고
    • Symmetric Galerkin boundary element methods
    • M. Bonnet, G. Maier, C. Polizzotto, Symmetric Galerkin boundary element methods, Appl. Mech. Rev. 51 (1998) 669-704.
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 669-704
    • Bonnet, M.1    Maier, G.2    Polizzotto, C.3
  • 2
    • 84968502340 scopus 로고
    • The analysis of multigrid algorithms for pseudodifferential operators of order minus one
    • J.H. Bramble, Z. Leyk, J.E. Pasciak, The analysis of multigrid algorithms for pseudodifferential operators of order minus one, Math. Comp. 63 (1994) 461-478.
    • (1994) Math. Comp. , vol.63 , pp. 461-478
    • Bramble, J.H.1    Leyk, Z.2    Pasciak, J.E.3
  • 3
    • 84966214346 scopus 로고
    • A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic systems
    • J.H. Bramble, J.E. Pasciak, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic systems, Math. Comp. 50 (1988) 1-17.
    • (1988) Math. Comp. , vol.50 , pp. 1-17
    • Bramble, J.H.1    Pasciak, J.E.2
  • 4
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring I
    • J.H. Bramble, J.E. Pasciak, A.H. Schatz, The construction of preconditioners for elliptic problems by substructuring I, Math. Comp. 47 (1987) 103-134.
    • (1987) Math. Comp. , vol.47 , pp. 103-134
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 5
    • 0039835184 scopus 로고    scopus 로고
    • Fast parallel solvers for symmetric boundary element domain decomposition methods
    • C. Carstensen, M. Kuhn, U. Langer, Fast parallel solvers for symmetric boundary element domain decomposition methods, Numer. Math. 79 (1998) 321-347.
    • (1998) Numer. Math. , vol.79 , pp. 321-347
    • Carstensen, C.1    Kuhn, M.2    Langer, U.3
  • 7
    • 0000599701 scopus 로고
    • Symmetric methods for the coupling of finite and boundary elements
    • C.A. Brebbia et al. (Eds.), Springer, Berlin
    • M. Costabel, Symmetric methods for the coupling of finite and boundary elements, in: C.A. Brebbia et al. (Eds.), Boundary Elements IX, Springer, Berlin, 1987, pp. 411-420.
    • (1987) Boundary Elements IX , pp. 411-420
    • Costabel, M.1
  • 8
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: Elementary results
    • M. Costabel, Boundary integral operators on Lipschitz domains: Elementary results, SIAM J. Math. Anal. 19 (1988) 613-626.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 613-626
    • Costabel, M.1
  • 10
    • 0040210776 scopus 로고    scopus 로고
    • The hybrid boundary element method in elastodynamics
    • C. Fiedler, L. Gaul, The hybrid boundary element method in elastodynamics, Mech. Res. Comm. 23 (1996) 3074-3079.
    • (1996) Mech. Res. Comm. , vol.23 , pp. 3074-3079
    • Fiedler, C.1    Gaul, L.2
  • 11
    • 0003269221 scopus 로고
    • Boundary-Field Equation Methods for a Class of Nonlinear Problems
    • Longman, London
    • G.N. Gatica, G.C. Hsiao, Boundary-Field Equation Methods for a Class of Nonlinear Problems, Pitman Research Notes in Mathematics Series, Vol. 331, Longman, London, 1995.
    • (1995) Pitman Research Notes in Mathematics Series , vol.331
    • Gatica, G.N.1    Hsiao, G.C.2
  • 14
    • 85031551898 scopus 로고    scopus 로고
    • Hybrid coupled finite-boundary element methods for elliptic systems of second order
    • to appear
    • G.C. Hsiao, E. Schnack, W.L. Wendland, Hybrid coupled finite-boundary element methods for elliptic systems of second order, Comput. Mechanics Advances, to appear.
    • Comput. Mechanics Advances
    • Hsiao, G.C.1    Schnack, E.2    Wendland, W.L.3
  • 16
  • 17
    • 0002580671 scopus 로고
    • Spectrally equivalent preconditioners in substructuring techniques
    • B.N. Khoromskij, W.L. Wendland, Spectrally equivalent preconditioners in substructuring techniques, East-West J. Numer. Math. 1 (1992) 1-25.
    • (1992) East-West J. Numer. Math. , vol.1 , pp. 1-25
    • Khoromskij, B.N.1    Wendland, W.L.2
  • 18
    • 0004338948 scopus 로고    scopus 로고
    • A preconditioning strategy for boundary element Galerkin methods
    • W. McLean, T. Tran, A preconditioning strategy for boundary element Galerkin methods, Numer. Methods Partial Differential Equations 13 (1997) 283-301.
    • (1997) Numer. Methods Partial Differential Equations , vol.13 , pp. 283-301
    • McLean, W.1    Tran, T.2
  • 19
    • 0042810619 scopus 로고    scopus 로고
    • Domain decomposition for integral equations of the first kind: Numerical results
    • M. Maischak, E.P. Stephan, T. Tran, Domain decomposition for integral equations of the first kind: numerical results, Appl. Anal. 63 (1997) 111-132.
    • (1997) Appl. Anal. , vol.63 , pp. 111-132
    • Maischak, M.1    Stephan, E.P.2    Tran, T.3
  • 20
    • 0025457920 scopus 로고
    • An effective direct solution method for certain boundary element equations in 3D
    • A. Meyer, S. Rjasanow, An effective direct solution method for certain boundary element equations in 3D, Math. Methods Appl. Sci. 13 (1990) 43-53.
    • (1990) Math. Methods Appl. Sci. , vol.13 , pp. 43-53
    • Meyer, A.1    Rjasanow, S.2
  • 22
    • 0000440437 scopus 로고
    • On the convergence of the multigrid method for a hypersingular integral equation of the first kind
    • T. von Petersdorff, E.P. Stephan, On the convergence of the multigrid method for a hypersingular integral equation of the first kind, Numer. Math. 57 (1990) 379-391.
    • (1990) Numer. Math. , vol.57 , pp. 379-391
    • Von Petersdorff, T.1    Stephan, E.P.2
  • 23
    • 0009531831 scopus 로고    scopus 로고
    • The Boundary-Domain Integral Method for Elliptic Systems. with an Application to Shells
    • Springer, Berlin
    • A. Pomp, The Boundary-Domain Integral Method for Elliptic Systems. With an Application to Shells, Lecture Notes in Mathematics, Vol. 1683, Springer, Berlin, 1998.
    • (1998) Lecture Notes in Mathematics , vol.1683
    • Pomp, A.1
  • 24
    • 21844526685 scopus 로고
    • Boundary element discretization of Poincaré-Steklov operators
    • G. Schmidt, Boundary element discretization of Poincaré-Steklov operators, Numer. Math. 69 (1994) 83-101.
    • (1994) Numer. Math. , vol.69 , pp. 83-101
    • Schmidt, G.1
  • 25
    • 0002044165 scopus 로고
    • Über einige Abbildungsaufgaben
    • H.A. Schwarz, Über einige Abbildungsaufgaben, Ges. Math. Abh. 11 (1869) 65-83.
    • (1869) Ges. Math. Abh , vol.11 , pp. 65-83
    • Schwarz, H.A.1
  • 26
    • 85201878448 scopus 로고    scopus 로고
    • Stable boundary element approximations of Steklov-Poincaré operators
    • M. Bonnet et al. (Eds.), Chapman & Hall, London
    • O. Steinbach, Stable boundary element approximations of Steklov-Poincaré operators, in: M. Bonnet et al. (Eds.), Mathematical Aspects of Boundary Element Methods, Research Notes in Mathematics, Vol. 414, Chapman & Hall, London, 1999, pp. 296-305.
    • (1999) Mathematical Aspects of Boundary Element Methods, Research Notes in Mathematics , vol.414 , pp. 296-305
    • Steinbach, O.1
  • 27
    • 0009961186 scopus 로고    scopus 로고
    • 2 projection in fractional Sobolev spaces
    • to appear
    • 2 projection in fractional Sobolev spaces, Numer. Math., to appear.
    • Numer. Math.
    • Steinbach, O.1
  • 28
    • 0034383712 scopus 로고    scopus 로고
    • On a hybrid boundary element method
    • O. Steinbach, On a hybrid boundary element method, Numer. Math. 84 (2000) 679-695.
    • (2000) Numer. Math. , vol.84 , pp. 679-695
    • Steinbach, O.1
  • 30
    • 0342873921 scopus 로고    scopus 로고
    • Hierarchical boundary element preconditioners in domain decomposition methods
    • P. Bjorstad, M.S. Espedal, D.E. Keyes (Eds.), Bergen, Norway, Domain Decomposition Press, Bergen
    • O. Steinbach, W.L. Wendland, Hierarchical boundary element preconditioners in domain decomposition methods, in: P. Bjorstad, M.S. Espedal, D.E. Keyes (Eds.), Domain Decomposition Methods in Sciences and Engineering, Ninth International Conference, Bergen, Norway, Domain Decomposition Press, Bergen, 1998, pp. 497-503.
    • (1998) Domain Decomposition Methods in Sciences and Engineering, Ninth International Conference , pp. 497-503
    • Steinbach, O.1    Wendland, W.L.2
  • 31
    • 0032359242 scopus 로고    scopus 로고
    • The construction of some efficient preconditioners in the boundary element method
    • O. Steinbach, W.L. Wendland, The construction of some efficient preconditioners in the boundary element method, Adv. Comput. Math. 9 (1998) 191-216.
    • (1998) Adv. Comput. Math. , vol.9 , pp. 191-216
    • Steinbach, O.1    Wendland, W.L.2
  • 32
    • 0003034464 scopus 로고    scopus 로고
    • Additive Schwarz method for the h-version boundary element method
    • E.P. Stephan, T. Tran, Additive Schwarz method for the h-version boundary element method, Appl. Anal. 60 (1996) 63-84.
    • (1996) Appl. Anal. , vol.60 , pp. 63-84
    • Stephan, E.P.1    Tran, T.2
  • 34
    • 85031545212 scopus 로고    scopus 로고
    • On boundary integral equations and applications
    • Accd. Naz. dei Lincei. Atti dei Covegni Lincei, Roma
    • W.L. Wendland, On boundary integral equations and applications, Tricomi's Ideas and Contemporary Applied Mathematics, Vol. 147, Accd. Naz. dei Lincei. Atti dei Covegni Lincei, Roma, 1998, pp. 49-71.
    • (1998) Tricomi's Ideas and Contemporary Applied Mathematics , vol.147 , pp. 49-71
    • Wendland, W.L.1
  • 35


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.