메뉴 건너뛰기




Volumn 35, Issue 4, 1998, Pages 1393-1415

An optimal iterative process for the Johnson-Nedelec method of coupling boundary and finite elements

Author keywords

Boundary element; Finite element; Multigrid method

Indexed keywords


EID: 0000672531     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996300762     Document Type: Article
Times cited : (26)

References (21)
  • 2
    • 84966214346 scopus 로고
    • A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
    • J.H. BRAMBLE AND J.E. PASCIAK, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems, Math. Comp., 50 (1988), pp. 1-17.
    • (1988) Math. Comp. , vol.50 , pp. 1-17
    • Bramble, J.H.1    Pasciak, J.E.2
  • 4
    • 51249185923 scopus 로고
    • On the coupling of boundary integral and finite element methods
    • F. BREZZI AND C. JOHNSON, On the coupling of boundary integral and finite element methods, Calcolo, 16 (1979), pp. 189-201.
    • (1979) Calcolo , vol.16 , pp. 189-201
    • Brezzi, F.1    Johnson, C.2
  • 5
    • 0030486077 scopus 로고    scopus 로고
    • Convergence rates for the coupling of fem and bem
    • U. BRINK AND E.P. STEPHAN, Convergence rates for the coupling of fem and bem, IMA J. Numer. Anal., 16 (1996), pp. 93-110.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 93-110
    • Brink, U.1    Stephan, E.P.2
  • 8
    • 0000599701 scopus 로고
    • Symmetric methods for the coupling of finite elements and boundary elements
    • Southampton
    • M. COSTABEL, Symmetric methods for the coupling of finite elements and boundary elements, in Boundary Elements IV, vol. 1, Comput. Mech., Southampton, 1987, pp. 411-420.
    • (1987) Boundary Elements IV, Vol. 1, Comput. Mech. , vol.1 , pp. 411-420
    • Costabel, M.1
  • 9
    • 0003555237 scopus 로고
    • A New Class of Variational Formulations for the Coupling of Finite and Boundary Element Methods
    • Univ. Maryland, College Park, MD
    • H. HAN, A New Class of Variational Formulations for the Coupling of Finite and Boundary Element Methods, Technical report, Univ. Maryland, College Park, MD, 1987.
    • (1987) Technical Report
    • Han, H.1
  • 10
    • 0028449552 scopus 로고
    • Optimal order multigrid methods for solving exterior boundary value problems
    • G. C. HSIAO AND S. ZHANG, Optimal order multigrid methods for solving exterior boundary value problems, SIAM J. Numer. Anal., 31 (1994), pp. 680-694.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 680-694
    • Hsiao, G.C.1    Zhang, S.2
  • 11
    • 84966247121 scopus 로고
    • On the coupling of boundary integral and finite element methods
    • C. JOHNSON AND J.C. NEDELEC, On the coupling of boundary integral and finite element methods, Math. Comp., 35 (1980), pp. 1063-1079.
    • (1980) Math. Comp. , vol.35 , pp. 1063-1079
    • Johnson, C.1    Nedelec, J.C.2
  • 12
    • 0001588713 scopus 로고
    • A galerkin collocation method for some integral equations of the first kind
    • G. C. HSIAO, P. KOPP, AND W. L. WENDLAND, A galerkin collocation method for some integral equations of the first kind, Computing, 25 (1979), pp. 557-566.
    • (1979) Computing , vol.25 , pp. 557-566
    • Hsiao, G.C.1    Kopp, P.2    Wendland, W.L.3
  • 14
    • 0030124951 scopus 로고    scopus 로고
    • On the coupling of boundary integral and mixed finite element methods
    • S. MEDDAHI, J. VALDÉS, O. MENÉNDEZ, AND P. PÉREZ, On the coupling of boundary integral and mixed finite element methods, J. Comput. App. Math., 69 (1996), pp. 113-124.
    • (1996) J. Comput. App. Math. , vol.69 , pp. 113-124
    • Meddahi, S.1    Valdés, J.2    Menéndez, O.3    Pérez, P.4
  • 17
    • 84972047848 scopus 로고
    • Error analysis of boundary integral methods
    • Cambridge University Press, Cambridge
    • I.H. SLOAN, Error analysis of boundary integral methods, in Acta Numerica, Cambridge University Press, Cambridge, 1992, pp. 287-339.
    • (1992) Acta Numerica , pp. 287-339
    • Sloan, I.H.1
  • 18
    • 85033937117 scopus 로고
    • Efficient Preconditioners for Boundary Element Methods and Their Use in Domain Decomposition
    • University of Stuttgart
    • O. STEINBACH AND W.L. WENDLAND, Efficient Preconditioners for Boundary Element Methods and Their Use in Domain Decomposition, Technical report, University of Stuttgart, 1995.
    • (1995) Technical Report
    • Steinbach, O.1    Wendland, W.L.2
  • 20
    • 0026993287 scopus 로고
    • Iterative methods by SPD and small subspace solvers for nonsymmetric or indefinite problems
    • D. Keyes, T. Chan, G. Meurant, J. Scroggs, and R. Voigt, eds., SIAM, Philadelphia, PA
    • J. Xu, Iterative methods by SPD and small subspace solvers for nonsymmetric or indefinite problems, in Proc. Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations, D. Keyes, T. Chan, G. Meurant, J. Scroggs, and R. Voigt, eds., SIAM, Philadelphia, PA, 1992, pp. 106-118.
    • (1992) Proc. Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 106-118
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.