메뉴 건너뛰기




Volumn 204, Issue 2 SPEC. ISS., 2007, Pages 282-291

An analysis of the BEM-FEM non-overlapping domain decomposition method for a scattering problem

Author keywords

Bessel functions; Coupling BEM FEM; Domain decomposition method; Helmholtz equation

Indexed keywords

BESSEL FUNCTIONS; BOUNDARY ELEMENT METHOD; ELECTROMAGNETIC WAVE SCATTERING; GEOMETRY; MODAL ANALYSIS; PROBLEM SOLVING;

EID: 34247214528     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.02.044     Document Type: Article
Times cited : (24)

References (23)
  • 1
    • 0031234450 scopus 로고    scopus 로고
    • A domain decomposition method for the Helmholtz equation and related optimal control problems
    • Benamou J.D., and Després B. A domain decomposition method for the Helmholtz equation and related optimal control problems. Comput. Phys. 136 (1997) 68-82
    • (1997) Comput. Phys. , vol.136 , pp. 68-82
    • Benamou, J.D.1    Després, B.2
  • 2
    • 0011643556 scopus 로고    scopus 로고
    • Boundary element solution of scattering problems relative to a generalized impedance boundary condition
    • Jäger W., Nečas J., John O., Najzar K., and Stará J. (Eds), Chapman & Hall, CRC, London, Boca Raton, FL
    • Bendali A. Boundary element solution of scattering problems relative to a generalized impedance boundary condition. In: Jäger W., Nečas J., John O., Najzar K., and Stará J. (Eds). Partial Differential Equations, Theory and Numerical Solution vol. 406 (1999), Chapman & Hall, CRC, London, Boca Raton, FL 10-24
    • (1999) Partial Differential Equations, Theory and Numerical Solution , vol.406 , pp. 10-24
    • Bendali, A.1
  • 3
    • 4043085095 scopus 로고    scopus 로고
    • Méthode de décomposition de domaine et éléments finis nodaux pour la résolution de l'équation d'Helmholtz
    • Bendali A., and Boubendir Y. Méthode de décomposition de domaine et éléments finis nodaux pour la résolution de l'équation d'Helmholtz. C.R. Acad. Sci., Paris, Ser. I 339 (2004) 229-234
    • (2004) C.R. Acad. Sci., Paris, Ser. I , vol.339 , pp. 229-234
    • Bendali, A.1    Boubendir, Y.2
  • 4
    • 34247225680 scopus 로고    scopus 로고
    • A. Bendali, Y. Boubendir, Non-overlapping domain decomposition method for a nodal finite element method, University of Minnesota, preprint IMA, 2037, April 2005.
  • 5
    • 34247216838 scopus 로고    scopus 로고
    • A. Bendali, Y. Boubendir, M'B. Fares, A FETI-like domain decomposition method for coupling FEM and BEM in large-size problems of acoustic scattering, to appear.
  • 6
    • 34247234705 scopus 로고    scopus 로고
    • Y. Boubendir, Techniques de Décomposition de Domaine et Méthode d'Equations Intégrales, Ph.D. Thesis, INSA, Toulouse, France, 2002.
  • 8
    • 34247196273 scopus 로고    scopus 로고
    • A coupling BEM-FEM method using a FETI-LIKE domain decomposition method
    • Providence, RI
    • Boubendir Y., Bendali A., and Fares M. A coupling BEM-FEM method using a FETI-LIKE domain decomposition method. Proceedings of Waves 2005. Providence, RI (2005) 188-190
    • (2005) Proceedings of Waves 2005 , pp. 188-190
    • Boubendir, Y.1    Bendali, A.2    Fares, M.3
  • 9
    • 0034646784 scopus 로고    scopus 로고
    • Domain decomposition method for harmonic wave propagation: a general presentation
    • Collino F., Ghanemi S., and Joly P. Domain decomposition method for harmonic wave propagation: a general presentation. Comput. Methods Appl. Mech. Eng. 184 (2000) 171-211
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.184 , pp. 171-211
    • Collino, F.1    Ghanemi, S.2    Joly, P.3
  • 11
    • 34247245902 scopus 로고    scopus 로고
    • M. Costabel, Symmetric methods for the coupling of finite elements and boundary elements, in: Boundary Elements IV, vol. 1, Comput. Mech. Brebier Southampton, 1987, pp. 441-420.
  • 12
    • 34247219860 scopus 로고    scopus 로고
    • B. Després, Méthodes de décomposition de domaine pour les problèmes de propagation d'ondes en régime harmonique, Le théorème de Borg pour l'équation de Hill vectorielle, Ph.D. Thesis, Paris VI University, France, 1991.
  • 14
    • 0032025175 scopus 로고    scopus 로고
    • The two-level FETI method, Part II: extension to shell problems, parallel implementation and performance results method
    • Farhat C., Chen P.S., Mandel J., and Roux F.X. The two-level FETI method, Part II: extension to shell problems, parallel implementation and performance results method. Comput. Methods Appl. Mech. Eng. 115 (1998) 153-179
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.115 , pp. 153-179
    • Farhat, C.1    Chen, P.S.2    Mandel, J.3    Roux, F.X.4
  • 15
    • 0033901205 scopus 로고    scopus 로고
    • Two-level domain decomposition methods with lagrange multipliers for the fast iterative solution of acoustic scattering problems
    • Farhat C., Macedo A., Lesoinne M., Roux F.-X., Magoules F., and de la Bourdonnaye A. Two-level domain decomposition methods with lagrange multipliers for the fast iterative solution of acoustic scattering problems. Comput. Methods Appl. Mech. Eng. 184 2 (2000) 213-240
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.184 , Issue.2 , pp. 213-240
    • Farhat, C.1    Macedo, A.2    Lesoinne, M.3    Roux, F.-X.4    Magoules, F.5    de la Bourdonnaye, A.6
  • 16
    • 0032022379 scopus 로고    scopus 로고
    • The two-level FETI for static and dynamic plate problems, Part I: an optimal iterative solver for biharmonic systems
    • Farhat C., and Mandel J. The two-level FETI for static and dynamic plate problems, Part I: an optimal iterative solver for biharmonic systems. Comput. Methods Appl. Mech. Eng. 155 (1998) 129-151
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.155 , pp. 129-151
    • Farhat, C.1    Mandel, J.2
  • 17
    • 0028429575 scopus 로고
    • Optimal convergence properties of the FETI domain decomposition method
    • Farhat C., Mandel J., and Roux F.X. Optimal convergence properties of the FETI domain decomposition method. Comput. Methods Appl. Mech. Eng. 115 (1994) 365-385
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.115 , pp. 365-385
    • Farhat, C.1    Mandel, J.2    Roux, F.X.3
  • 18
    • 0037246084 scopus 로고    scopus 로고
    • Optimized Schwarz methods without overlap for the Helmholtz equation
    • Gander M.J., Magoules F., and Nataf F. Optimized Schwarz methods without overlap for the Helmholtz equation. SIAM J. Sci. Comput. 24 1 (2002) 38-60
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.1 , pp. 38-60
    • Gander, M.J.1    Magoules, F.2    Nataf, F.3
  • 19
    • 84966247121 scopus 로고
    • On the coupling of boundary integral and finite element methods
    • Johnson C., and Nédélec J.-C. On the coupling of boundary integral and finite element methods. Math. Comput. 35 152 (1980) 1063-1079
    • (1980) Math. Comput. , vol.35 , Issue.152 , pp. 1063-1079
    • Johnson, C.1    Nédélec, J.-C.2
  • 21
    • 0003121787 scopus 로고
    • On the Schwarz alternating method, III. a variant for nonoverlapping subdomains
    • Chan T.F., Glowinski R., Périaux J., and Widlund O. (Eds). Texas, March 20-22, 1989, SIAM, Philadelphia, PA
    • Lions P.-L. On the Schwarz alternating method, III. a variant for nonoverlapping subdomains. In: Chan T.F., Glowinski R., Périaux J., and Widlund O. (Eds). Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston. Texas, March 20-22, 1989 (1990), SIAM, Philadelphia, PA
    • (1990) Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston
    • Lions, P.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.