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Volumn 54, Issue 2, 2005, Pages 194-207

Iterative solvers for coupled fluid-solid scattering

Author keywords

GMRES; Krylov; Multigrid; Preconditioning; Resonance; Smoothing

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; LINEAR EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; RESONANCE; SCATTERING;

EID: 19044389361     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.09.023     Document Type: Conference Paper
Times cited : (10)

References (25)
  • 3
    • 0040209575 scopus 로고
    • Stable coupling method for interface scattering problems by combined integral equations and finite elements
    • J. Bielak, R.C. MacCamy, and X. Zeng Stable coupling method for interface scattering problems by combined integral equations and finite elements J. Comput. Phys. 119 1995 374 384
    • (1995) J. Comput. Phys. , vol.119 , pp. 374-384
    • Bielak, J.1    MacCamy, R.C.2    Zeng, X.3
  • 5
    • 0008747979 scopus 로고    scopus 로고
    • Domain decomposition methods for a system of coupled acoustic and elastic Helmholtz equations
    • Domain Decomposition Press Bergen
    • P. Cummings, and X. Feng Domain decomposition methods for a system of coupled acoustic and elastic Helmholtz equations Eleventh International Conference on Domain Decomposition Methods 1999 Domain Decomposition Press Bergen 205 213
    • (1999) Eleventh International Conference on Domain Decomposition Methods , pp. 205-213
    • Cummings, P.1    Feng, X.2
  • 6
    • 38149148001 scopus 로고
    • Asymptotic convergence in finite and boundary element methods: Part 1: Theoretical results
    • L. Demkowicz Asymptotic convergence in finite and boundary element methods: Part 1: Theoretical results Comput. Math. Appl. 27 12 1994 69 84
    • (1994) Comput. Math. Appl. , vol.27 , Issue.12 , pp. 69-84
    • Demkowicz, L.1
  • 7
    • 0002410517 scopus 로고
    • Asymptotic convergence in finite and boundary element methods: Part 2: The LBB constant for rigid and elastic scattering problems
    • L. Demkowicz Asymptotic convergence in finite and boundary element methods: Part 2: The LBB constant for rigid and elastic scattering problems Comput. Math. Appl. 28 6 1994 93 109
    • (1994) Comput. Math. Appl. , vol.28 , Issue.6 , pp. 93-109
    • Demkowicz, L.1
  • 8
    • 0036344991 scopus 로고    scopus 로고
    • A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations
    • H.C. Elman, O.G. Ernst, and D.P. O'Leary A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations SIAM J. Sci. Statist. Comput. 23 2001 1291 1315
    • (2001) SIAM J. Sci. Statist. Comput. , vol.23 , pp. 1291-1315
    • Elman, H.C.1    Ernst, O.G.2    O'Leary, D.P.3
  • 9
    • 0033901205 scopus 로고    scopus 로고
    • Two level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
    • C. Farhat, A. Macedo, M. Lesoinne, F. Roux, F. Magoulés, and A.D. Bourdonnaie Two level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems Comput. Methods Appl. Mech. Engrg. 184 2000 213 240
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.184 , pp. 213-240
    • Farhat, C.1    MacEdo, A.2    Lesoinne, M.3    Roux, F.4    Magoulés, F.5    Bourdonnaie, A.D.6
  • 10
    • 0010033127 scopus 로고
    • Multigrid preconditioners applied to the iterative solution of singularly perturbed elliptic boundary value problems and scattering problems
    • R. Shaw J. Périaux A. Chaudouet J. Wu C. Marino C. Brebbia Springer Berlin
    • C.I. Goldstein Multigrid preconditioners applied to the iterative solution of singularly perturbed elliptic boundary value problems and scattering problems R. Shaw J. Périaux A. Chaudouet J. Wu C. Marino C. Brebbia Innovative Numerical Methods in Engineering, Proc. 4th Int. Symp., Atlanta, GA, 1986 1986 Springer Berlin 97 102
    • (1986) Innovative Numerical Methods in Engineering, Proc. 4th Int. Symp., Atlanta, GA, 1986 , pp. 97-102
    • Goldstein, C.I.1
  • 12
    • 0001201384 scopus 로고
    • Finite element solution for the Helmholtz equation with high wave number, Part I: The h-version of the FEM
    • F. Ihlenburg, and I.M. Babuška Finite element solution for the Helmholtz equation with high wave number, Part I: The h-version of the FEM Comput. Math. Appl. 30 9 1995 9 37
    • (1995) Comput. Math. Appl. , vol.30 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.M.2
  • 13
    • 0037245732 scopus 로고    scopus 로고
    • Multigrid simulation for high-frequency solutions of the Helmholtz problem in heterogeneous media
    • S. Kim, and S. Kim Multigrid simulation for high-frequency solutions of the Helmholtz problem in heterogeneous media SIAM J. Sci. Comput. 24 2 2002 684 701 (electronic)
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 684-701
    • Kim, S.1    Kim, S.2
  • 15
    • 0030366961 scopus 로고    scopus 로고
    • Analysis and finite element methods for a fluid-solid interaction problem in one dimension
    • C. Makridakis, F. Ihlenburg, and I.M. Babuška Analysis and finite element methods for a fluid-solid interaction problem in one dimension Math. Models Methods Appl. Sci. 6 8 1996 1119 1141
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , Issue.8 , pp. 1119-1141
    • Makridakis, C.1    Ihlenburg, F.2    Babuška, I.M.3
  • 16
    • 38249038871 scopus 로고
    • Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
    • Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, 1985
    • J. Mandel Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, 1985 Appl. Math. Comput. 19 1-4 1986 201 216
    • (1986) Appl. Math. Comput. , vol.19 , Issue.1-4 , pp. 201-216
    • Mandel, J.1
  • 17
    • 19044392566 scopus 로고    scopus 로고
    • An iterative substructuring method for coupled fluid-solid acoustic problems
    • J. Mandel An iterative substructuring method for coupled fluid-solid acoustic problems J. Comput. Phys. 176 2002 1 22
    • (2002) J. Comput. Phys. , vol.176 , pp. 1-22
    • Mandel, J.1
  • 19
    • 0039928907 scopus 로고
    • On multigrid convergence in the indefinite case
    • R.A. Nicolaides On multigrid convergence in the indefinite case Math. Comp. 32 144 1978 1082 1086
    • (1978) Math. Comp. , vol.32 , Issue.144 , pp. 1082-1086
    • Nicolaides, R.A.1
  • 23
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad, and M.H. Schultz GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM J. Sci. Statist. Comput. 7 1986 856 869
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 24
    • 0008858386 scopus 로고    scopus 로고
    • Two-level algebraic multigrid for the Helmholtz problem
    • P. Vaněk, J. Mandel, and M. Brezina Two-level algebraic multigrid for the Helmholtz problem Contemp. Math. 218 1998 349 356
    • (1998) Contemp. Math. , vol.218 , pp. 349-356
    • Vaněk, P.1    Mandel, J.2    Brezina, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.