메뉴 건너뛰기




Volumn 27, Issue 7, 2003, Pages 727-750

Performance of iterative solvers for acoustic problems. Part I. Solvers and effect of diagonal preconditioning

Author keywords

Acoustics; Boundary element method; Boundary elements; Frequency; Iterative solvers

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; INTERPOLATION; ITERATIVE METHODS; LINEAR EQUATIONS; LINEAR SYSTEMS;

EID: 0042623778     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(03)00025-0     Document Type: Article
Times cited : (83)

References (40)
  • 1
    • 0022813289 scopus 로고
    • An iterative method for the boundary element solution of the exterior acoustic problem
    • Amini S. An iterative method for the boundary element solution of the exterior acoustic problem. J Comput Appl Math. 20:1987;109-117.
    • (1987) J Comput Appl Math , vol.20 , pp. 109-117
    • Amini, S.1
  • 2
    • 0033115268 scopus 로고    scopus 로고
    • On boundary integral operators for the laplace and the helmholtz equations and their discretisations
    • Amini S. On boundary integral operators for the laplace and the helmholtz equations and their discretisations. Engng Anal Bound Elem. 23:1999;327-337.
    • (1999) Engng Anal Bound Elem , vol.23 , pp. 327-337
    • Amini, S.1
  • 3
    • 38249022528 scopus 로고
    • Conjugate gradient method for second kind integral equations - Applications to the exterior acoustic problem
    • Amini S., Ke C. Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem. Engng Anal Bound Elem. 6:(2):1989;72-77.
    • (1989) Engng Anal Bound Elem , vol.6 , Issue.2 , pp. 72-77
    • Amini, S.1    Ke, C.2
  • 4
    • 0025420025 scopus 로고
    • Iterative solution of boundary element equations for the exterior Helmholtz problem
    • Amini S., Ke C., Harris P.J. Iterative solution of boundary element equations for the exterior Helmholtz problem. J Vib Acoust. 112:1990;257-262.
    • (1990) J Vib Acoust , vol.112 , pp. 257-262
    • Amini, S.1    Ke, C.2    Harris, P.J.3
  • 5
    • 0032021403 scopus 로고    scopus 로고
    • Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation
    • Amini S., Maines N.D. Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation. Int J Numer Meth Engng. 41:1998;875-898.
    • (1998) Int J Numer Meth Engng , vol.41 , pp. 875-898
    • Amini, S.1    Maines, N.D.2
  • 8
    • 0042450676 scopus 로고    scopus 로고
    • On the usage of a regular grid for implementation of boundary integral methods for wave problems
    • Bespalov A. On the usage of a regular grid for implementation of boundary integral methods for wave problems. Russ J Numer Anal Math Modell. 15:(6):2000;469-488.
    • (2000) Russ J Numer Anal Math Modell , vol.15 , Issue.6 , pp. 469-488
    • Bespalov, A.1
  • 9
    • 0000204968 scopus 로고
    • Über das dirichlet'sche außenraumproblem für die helmholtz'sche schwingungsgleichung
    • Brakhage H., Werner P. Über das Dirichlet'sche Außenraumproblem für die Helmholtz'sche Schwingungsgleichung. Archiv der Mathematik. 16:1965;325-329.
    • (1965) Archiv der Mathematik , vol.16 , pp. 325-329
    • Brakhage, H.1    Werner, P.2
  • 10
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary-value problems
    • Burton A.J., Miller G.F. The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proc R Soc Lond. 323:1971;201-220.
    • (1971) Proc R Soc Lond , vol.323 , pp. 201-220
    • Burton, A.J.1    Miller, G.F.2
  • 11
    • 0031531765 scopus 로고    scopus 로고
    • A symmetric Galerkin formulation of the boundary element method for acoustic radiation and scattering
    • Chen Z.S., Hofstetter G., Mang H.A. A symmetric Galerkin formulation of the boundary element method for acoustic radiation and scattering. J Comput Acoust. 5:(2):1997;219-241.
    • (1997) J Comput Acoust , vol.5 , Issue.2 , pp. 219-241
    • Chen, Z.S.1    Hofstetter, G.2    Mang, H.A.3
  • 12
    • 0004209442 scopus 로고
    • Southampton/Boston: Computational Mechanics Publications/Elsevier Applied Science
    • Ciskowski R.D., Brebbia C.A. Boundary elements in acoustics. 1991;Computational Mechanics Publications/Elsevier Applied Science, Southampton/Boston.
    • (1991) Boundary Elements in Acoustics
    • Ciskowski, R.D.1    Brebbia, C.A.2
  • 13
    • 0012607016 scopus 로고
    • Applications in bioacoustics
    • R.D. Ciskowski, BrebbiaC.A. Southampton/Boston: Computational Mechanics Publications/Elsevier Applied Science. chapter 8
    • Ciskowski R.D., Royster L.H. Applications in bioacoustics. Ciskowski R.D., Brebbia C.A. Boundary elements in acoustics. 1991;147-175 Computational Mechanics Publications/Elsevier Applied Science, Southampton/Boston. chapter 8.
    • (1991) Boundary Elements in Acoustics , pp. 147-175
    • Ciskowski, R.D.1    Royster, L.H.2
  • 14
    • 0029410563 scopus 로고
    • The Parallel Iterative Methods (PIM) package for the solution of systems of linear equations on parallel computers
    • da Cunha R., Hopkins T. The Parallel Iterative Methods (PIM) package for the solution of systems of linear equations on parallel computers. Appl Numer Math. 19:(1-2):1995;33-50.
    • (1995) Appl Numer Math , vol.19 , Issue.1-2 , pp. 33-50
    • Da Cunha, R.1    Hopkins, T.2
  • 15
    • 0001031880 scopus 로고
    • A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems
    • Freund R.W. A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems. SIAM J Sci Comput. 14:1993;470-482.
    • (1993) SIAM J Sci Comput , vol.14 , pp. 470-482
    • Freund, R.W.1
  • 16
    • 0035284186 scopus 로고    scopus 로고
    • Numerical treatment of acoustical problems with the hybrid boundary element method
    • Gaul L., Wagner M., Wenzel W., Dumont N.A. Numerical treatment of acoustical problems with the hybrid boundary element method. Int J Solids Struct. 38:2001;1871-1888.
    • (2001) Int J Solids Struct , vol.38 , pp. 1871-1888
    • Gaul, L.1    Wagner, M.2    Wenzel, W.3    Dumont, N.A.4
  • 17
    • 0004000572 scopus 로고    scopus 로고
    • Dissertation. Universität Karlsruhe;
    • 3. Dissertation. Universität Karlsruhe; 1997.
    • (1997) 3
    • Giebermann, K.1
  • 18
    • 0002309091 scopus 로고    scopus 로고
    • Formulation and numerical treatment of boundary integral equations with hypersingular kernels
    • V. Sladek, & J. Sladek. Southampton: Computational Mechanics Publications
    • Guiggiani M. Formulation and numerical treatment of boundary integral equations with hypersingular kernels. Sladek V., Sladek J. Singular integrals in boundary element methods. 1998;85-124 Computational Mechanics Publications, Southampton.
    • (1998) Singular Integrals in Boundary Element Methods , pp. 85-124
    • Guiggiani, M.1
  • 19
    • 0032115360 scopus 로고    scopus 로고
    • A prescription for the multilevel helmholtz fmm
    • Gyure M.F., Stalzer M.A. A prescription for the multilevel helmholtz fmm. IEEE Comput Sci Engng. 5:(3):1998;39-47.
    • (1998) IEEE Comput Sci Engng , vol.5 , Issue.3 , pp. 39-47
    • Gyure, M.F.1    Stalzer, M.A.2
  • 20
    • 0000135303 scopus 로고
    • Method of conjugate gradients for solving linear systems
    • Hestenes M.R., Stiefel E.L. Method of conjugate gradients for solving linear systems. J Res Natl Bureau Std. 49:1952;435-498.
    • (1952) J Res Natl Bureau Std , vol.49 , pp. 435-498
    • Hestenes, M.R.1    Stiefel, E.L.2
  • 21
    • 0013290795 scopus 로고    scopus 로고
    • Iterative solution of the direct collacation bem equations
    • Germany: Garmisch-Partenkirchen
    • Juhl P. Iterative solution of the direct collacation bem equations. Proceedings of the 7th International Congress on Sound and Vibration, vol. IV. 2000;Garmisch-Partenkirchen, Germany. p. 2077-84.
    • (2000) Proceedings of the 7th International Congress on Sound and Vibration , vol.4 , pp. 2077-2084
    • Juhl, P.1
  • 22
    • 0024282525 scopus 로고
    • Iterative solutions of boundary integral equations in acoustics
    • Kleinmann R.E., Roach G.F. Iterative solutions of boundary integral equations in acoustics. Proc R Soc Lond, A. 417:1988;45-57.
    • (1988) Proc R Soc Lond, A , vol.417 , pp. 45-57
    • Kleinmann, R.E.1    Roach, G.F.2
  • 23
    • 84967832435 scopus 로고
    • An iterative solution to acoustic scattering by rigid objects
    • Kleinmann R.E., Roach G.F., Schuetz L.S., Shirron J. An iterative solution to acoustic scattering by rigid objects. J Acoust Soc Am. 84:(1):1988;385-391.
    • (1988) J Acoust Soc Am , vol.84 , Issue.1 , pp. 385-391
    • Kleinmann, R.E.1    Roach, G.F.2    Schuetz, L.S.3    Shirron, J.4
  • 24
    • 0032006860 scopus 로고    scopus 로고
    • An iterative solver for the Helmholtz integral equation for high frequency scattering
    • Makarov S.N., Ochmann M. An iterative solver for the Helmholtz integral equation for high frequency scattering. J Acoust Soc Am. 103:(2):1998;742-750.
    • (1998) J Acoust Soc Am , vol.103 , Issue.2 , pp. 742-750
    • Makarov, S.N.1    Ochmann, M.2
  • 25
    • 0036000820 scopus 로고    scopus 로고
    • Six elements per wavelength. Is that enough?
    • Marburg S. Six elements per wavelength. Is that enough? J Comput Acoust. 10:(1):2000;25-51.
    • (2000) J Comput Acoust , vol.10 , Issue.1 , pp. 25-51
    • Marburg, S.1
  • 26
    • 0033340197 scopus 로고    scopus 로고
    • A study on the acoustic boundary admittance. Determination, results and consequences
    • Marburg S., Hardtke H.-J. A study on the acoustic boundary admittance. Determination, results and consequences. Engng Anal Bound Elem. 23:1999;737-744.
    • (1999) Engng Anal Bound Elem , vol.23 , pp. 737-744
    • Marburg, S.1    Hardtke, H.-J.2
  • 27
    • 0042450677 scopus 로고    scopus 로고
    • Influence of element types for acoustic boundary elements
    • in print
    • Marburg S, Schneider S. Influence of element types for acoustic boundary elements. Journal of Computational Acoustics 2003:11(3) (in print).
    • (2003) Journal of Computational Acoustics , vol.11 , Issue.3
    • Marburg, S.1    Schneider, S.2
  • 28
    • 0023378621 scopus 로고
    • A new boundary finite element method for fluid-structure interaction problems
    • Mariem J.B., Hamdi M.A., new A. A new boundary finite element method for fluid-structure interaction problems. Int J Numer Meth Engng. 24:1987;1251-1267.
    • (1987) Int J Numer Meth Engng , vol.24 , pp. 1251-1267
    • Mariem, J.B.1    Hamdi, M.A.2    New, A.3
  • 30
    • 0017985083 scopus 로고
    • Boundary integral solutions of three dimensional acoustic radiation problems
    • Meyer W.L., Bell W.A., Zinn B.T., Stallybrass M.P. Boundary integral solutions of three dimensional acoustic radiation problems. J Sound Vib. 59:(2):1978;245-262.
    • (1978) J Sound Vib , vol.59 , Issue.2 , pp. 245-262
    • Meyer, W.L.1    Bell, W.A.2    Zinn, B.T.3    Stallybrass, M.P.4
  • 31
    • 0006065494 scopus 로고
    • Acoustic and elastic wave scattering using boundary elements
    • Southampton: Computational Mechanics Publications
    • Rego Silva J.J. Acoustic and elastic wave scattering using boundary elements. Topics in engineering, vol. 18. 1993;Computational Mechanics Publications, Southampton.
    • (1993) Topics in Engineering , vol.18
    • Rego Silva, J.J.1
  • 32
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Saad Y., Schultz M.H. GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM J Sci Stat Comput. 7:1986;856-869.
    • (1986) SIAM J Sci Stat Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 33
    • 84953655023 scopus 로고
    • Improved integral formulation for acoustic radiation problems
    • Schenck H.A. Improved integral formulation for acoustic radiation problems. J Acoust Soc Am. 44:1968;41-58.
    • (1968) J Acoust Soc Am , vol.44 , pp. 41-58
    • Schenck, H.A.1
  • 34
    • 0042450674 scopus 로고    scopus 로고
    • Application of fast methods for acoustic scattering and radiation problems
    • in print
    • Schneider S. Application of fast methods for acoustic scattering and radiation problems. Journal of Computational Acoustics 2003;11(3) in print.
    • (2003) Journal of Computational Acoustics , vol.11 , Issue.3
    • Schneider, S.1
  • 35
    • 0001845470 scopus 로고
    • BiCGStab (L) for linear matrices involving unsymmetric matrices with complex spectrum
    • Sleijpen G.L.C., Fokema D.R. BiCGStab (L) for linear matrices involving unsymmetric matrices with complex spectrum. ETNA. 1:(September):1993;11-32.
    • (1993) ETNA , vol.1 , Issue.SEPTEMBER , pp. 11-32
    • Sleijpen, G.L.C.1    Fokema, D.R.2
  • 36
    • 0002716979 scopus 로고
    • Cgs, a fast lanczos-type solver for nonsymmetric linear systems
    • Sonneveld P. Cgs, a fast lanczos-type solver for nonsymmetric linear systems. SIAM J Sci Stat Comput. 10:1989;36-52.
    • (1989) SIAM J Sci Stat Comput , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 37
    • 18844467605 scopus 로고    scopus 로고
    • Use of constant, linear and quadratic boundary elements in 3d wave diffraction analysis
    • Tadeu A., Antonio J. Use of constant, linear and quadratic boundary elements in 3d wave diffraction analysis. Engng Anal Bound Elem. 24:2000;131-144.
    • (2000) Engng Anal Bound Elem , vol.24 , pp. 131-144
    • Tadeu, A.1    Antonio, J.2
  • 38
    • 0000005482 scopus 로고
    • Bi-CGStab: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H.A. Bi-CGStab: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput. 13:1992;631-644.
    • (1992) SIAM J Sci Stat Comput , vol.13 , pp. 631-644
    • Van der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.