메뉴 건너뛰기




Volumn 85, Issue 9, 2007, Pages 526-535

A FETI-like domain decomposition method for coupling finite elements and boundary elements in large-size problems of acoustic scattering

Author keywords

Acoustics; Domain decomposition; FEM BEM coupling; Full waves methods; High Performance Computing; Wave propagation

Indexed keywords

ACOUSTIC WAVE PROPAGATION; COMPUTER SIMULATION; FINITE ELEMENT METHOD; ITERATIVE METHODS; PROBLEM SOLVING;

EID: 33947279899     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.08.029     Document Type: Article
Times cited : (38)

References (49)
  • 1
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • Bayliss A., and Turkel E. Radiation boundary conditions for wave-like equations. Commun Pure Appl Math 23 (1980) 707-725
    • (1980) Commun Pure Appl Math , vol.23 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 2
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist B., and Majda A. Absorbing boundary conditions for the numerical simulation of waves. Math Comput 23 (1977) 629-651
    • (1977) Math Comput , vol.23 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 4
    • 0001374907 scopus 로고    scopus 로고
    • Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
    • Antoine X., Barucq H., and Bendali A. Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. J Math Anal Appl 229 (1999) 184-211
    • (1999) J Math Anal Appl , vol.229 , pp. 184-211
    • Antoine, X.1    Barucq, H.2    Bendali, A.3
  • 5
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Bérenger J.-P. A perfectly matched layer for the absorption of electromagnetic waves. J Comput Phys 114 (1994) 185-200
    • (1994) J Comput Phys , vol.114 , pp. 185-200
    • Bérenger, J.-P.1
  • 8
    • 0032203675 scopus 로고    scopus 로고
    • The perfectly matched layer in curvilinear coordinates
    • Collino F., and Monk P. The perfectly matched layer in curvilinear coordinates. SIAM J Sci Comput 19 (1998) 2061-2090
    • (1998) SIAM J Sci Comput , vol.19 , pp. 2061-2090
    • Collino, F.1    Monk, P.2
  • 9
    • 6344289260 scopus 로고    scopus 로고
    • The perfectly matched layer for the ultra weak variational formulation of the 3d Helmholtz equation
    • Huttunen T., Kaipio J.P., and Monk P. The perfectly matched layer for the ultra weak variational formulation of the 3d Helmholtz equation. Int J Numer Methods Eng 61 (2004) 1072-1092
    • (2004) Int J Numer Methods Eng , vol.61 , pp. 1072-1092
    • Huttunen, T.1    Kaipio, J.P.2    Monk, P.3
  • 10
    • 0031208213 scopus 로고    scopus 로고
    • Finite element formulations for exterior problems: application to hybrid methods, non-reflecting boundary conditions, and infinite elements
    • Harari I., Barbone P.E., and Montgomery J.M. Finite element formulations for exterior problems: application to hybrid methods, non-reflecting boundary conditions, and infinite elements. Int J Numer Methods Eng 40 (1998) 2791-2805
    • (1998) Int J Numer Methods Eng , vol.40 , pp. 2791-2805
    • Harari, I.1    Barbone, P.E.2    Montgomery, J.M.3
  • 11
    • 0034327263 scopus 로고    scopus 로고
    • Infinite elements for wave problems: a review of current formulations and an assessment of accuracy
    • Astley R.J. Infinite elements for wave problems: a review of current formulations and an assessment of accuracy. Int J Numer Methods Eng 49 (2000) 951-976
    • (2000) Int J Numer Methods Eng , vol.49 , pp. 951-976
    • Astley, R.J.1
  • 12
    • 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 (1980) 1063-1079
    • (1980) Math Comput , vol.35 , pp. 1063-1079
    • Johnson, C.1    Nédélec, J.-C.2
  • 14
    • 21844492126 scopus 로고
    • Some formulations coupling finite element and integral equations methods for Helmholtz equation and electromagnetism
    • de La Bourdonnaye A. Some formulations coupling finite element and integral equations methods for Helmholtz equation and electromagnetism. Numer Math 69 (1995) 69-84
    • (1995) Numer Math , vol.69 , pp. 69-84
    • de La Bourdonnaye, A.1
  • 15
    • 0036556601 scopus 로고    scopus 로고
    • Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system
    • Hsiao G.C., Monk P.B., and Nigam N. Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. SIAM J Numer Anal 40 1 (2002) 198-219
    • (2002) SIAM J Numer Anal , vol.40 , Issue.1 , pp. 198-219
    • Hsiao, G.C.1    Monk, P.B.2    Nigam, N.3
  • 16
    • 0033357455 scopus 로고    scopus 로고
    • A domain decomposition method for the solution of large electromagnetic scattering problems
    • Stupfel B., and Després B. A domain decomposition method for the solution of large electromagnetic scattering problems. J Comput Waves Appl 13 (1999) 1553-1568
    • (1999) J Comput Waves Appl , vol.13 , pp. 1553-1568
    • Stupfel, B.1    Després, B.2
  • 17
    • 33947245960 scopus 로고    scopus 로고
    • Boubendir Y. Techniques de Décomposition de Domaine et Méthodes d'Equations Intégrales. Ph.D. thesis, INSA of Toulouse, 2002.
  • 18
    • 4544381227 scopus 로고    scopus 로고
    • A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral eqaution MLFMA
    • Goudin D., Mandallena M., Mer-Nkonga K., and Stupfel B. A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral eqaution MLFMA. Antennas Propag Soc Symp 1 (2004) 337-338
    • (2004) Antennas Propag Soc Symp , vol.1 , pp. 337-338
    • Goudin, D.1    Mandallena, M.2    Mer-Nkonga, K.3    Stupfel, B.4
  • 20
    • 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
  • 21
    • 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
  • 23
    • 0037211960 scopus 로고    scopus 로고
    • Integral equations via saddle-point problems for time-harmonic maxwell's equations
    • Collino F., and Després B. Integral equations via saddle-point problems for time-harmonic maxwell's equations. J Comput Appl Math 150 (2002) 157-192
    • (2002) J Comput Appl Math , vol.150 , pp. 157-192
    • Collino, F.1    Després, B.2
  • 24
    • 0039011839 scopus 로고    scopus 로고
    • Integral equations VIA saddle point problem for 2d electromagnetic problems
    • Bartoli N., and Collino F. Integral equations VIA saddle point problem for 2d electromagnetic problems. Math Modell Numer Anal (M2AN) 34 (2000) 1023-1049
    • (2000) Math Modell Numer Anal (M2AN) , vol.34 , pp. 1023-1049
    • Bartoli, N.1    Collino, F.2
  • 28
    • 22044433919 scopus 로고    scopus 로고
    • Galerkin boundary element methods for electromagnetic scattering
    • Topics in computational wave propagation: direct and inverse problems. Ainsworth M., et al. (Ed), Springer
    • Buffa A., and Hiptmair R. Galerkin boundary element methods for electromagnetic scattering. In: Ainsworth M., et al. (Ed). Topics in computational wave propagation: direct and inverse problems. Lecture notes in computational science and engineering vol. 31 (2003), Springer 83-124
    • (2003) Lecture notes in computational science and engineering , vol.31 , pp. 83-124
    • Buffa, A.1    Hiptmair, R.2
  • 29
    • 19344374450 scopus 로고    scopus 로고
    • Alternative integral equations for the iterative solution of acoustic scattering problems
    • Antoine X., and Darbas M. Alternative integral equations for the iterative solution of acoustic scattering problems. Quart J Mech Appl Math 58 (2005) 107-128
    • (2005) Quart J Mech Appl Math , vol.58 , pp. 107-128
    • Antoine, X.1    Darbas, M.2
  • 30
    • 33947196281 scopus 로고    scopus 로고
    • Lions P-L. On the Schwarz alternating method III. In: Third international symposium on domain decomposition methods for partial differential equations, vol. 22, No. 4. SIAM, July/August 1989.
  • 31
    • 0026239487 scopus 로고
    • A method of finite element tearing and interconnecting and its parallel implementation algorithm
    • Farhat C., and Roux F.-X. A method of finite element tearing and interconnecting and its parallel implementation algorithm. Int J Numer Methods Eng 32 (1991) 1205-1227
    • (1991) Int J Numer Methods Eng , vol.32 , pp. 1205-1227
    • Farhat, C.1    Roux, F.-X.2
  • 32
    • 0000072213 scopus 로고
    • An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems
    • Farhat C., and Roux F.-X. An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. SIAM J Sci Stat Comput 13 (1992) 379-392
    • (1992) SIAM J Sci Stat Comput , vol.13 , pp. 379-392
    • Farhat, C.1    Roux, F.-X.2
  • 36
    • 0000204968 scopus 로고
    • über das dirichletsche aussrenraumproblem für die helmholtzsche schwingungsgleichung problems
    • Brakhage A., and Werner P. über das dirichletsche aussrenraumproblem für die helmholtzsche schwingungsgleichung problems. Archive fur Mathematik 16 (1965) 325-329
    • (1965) Archive fur Mathematik , vol.16 , pp. 325-329
    • Brakhage, A.1    Werner, P.2
  • 37
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary value problems
    • Burton A.J., and Miller G.F. The application of integral equation methods to the numerical solution of some exterior boundary value problems. Proc Roy Soc, London A323 (1971) 201-210
    • (1971) Proc Roy Soc, London , vol.A323 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 38
    • 0037246084 scopus 로고    scopus 로고
    • Optimized Scwarz methods without overlap for the Helmholtz equation
    • Gander M.J., Magoules F., and Nataf F. Optimized Scwarz methods without overlap for the Helmholtz equation. SIAM J Sci Comput 24 (2002) 38-60
    • (2002) SIAM J Sci Comput , vol.24 , pp. 38-60
    • Gander, M.J.1    Magoules, F.2    Nataf, F.3
  • 39
  • 40
  • 43
    • 0034159334 scopus 로고    scopus 로고
    • Accuracy of the robin boundary condition iteration method for the finite element solution of scattering problems
    • Alfonzetti S., and Borzi G. Accuracy of the robin boundary condition iteration method for the finite element solution of scattering problems. Int J Numer Modell 13 (2000) 217-231
    • (2000) Int J Numer Modell , vol.13 , pp. 217-231
    • Alfonzetti, S.1    Borzi, G.2
  • 45
  • 46
    • 22944431887 scopus 로고    scopus 로고
    • Inexact matrix-vector products in Krylov methods for solving linear systems: a relaxation strategy
    • Bouras A., and Frayssé V. Inexact matrix-vector products in Krylov methods for solving linear systems: a relaxation strategy. SIAM J Matrix Anal Appl 26 (2005) 660-678
    • (2005) SIAM J Matrix Anal Appl , vol.26 , pp. 660-678
    • Bouras, A.1    Frayssé, V.2
  • 47
    • 0032099884 scopus 로고    scopus 로고
    • Iteratively-improved Robin boundary conditions for the finite element solution of scattering problems in unbounded domains
    • Alfonzetti S., Borzì G., and Salerno N. Iteratively-improved Robin boundary conditions for the finite element solution of scattering problems in unbounded domains. Int J Numer Meth Eng 42 (1998) 601-629
    • (1998) Int J Numer Meth Eng , vol.42 , pp. 601-629
    • Alfonzetti, S.1    Borzì, G.2    Salerno, N.3
  • 48
    • 0036760579 scopus 로고    scopus 로고
    • A highly effective preconditioner for solving the finite element-boundary integral matrix equation of 3-d
    • Liu J., and Jin J.-M. A highly effective preconditioner for solving the finite element-boundary integral matrix equation of 3-d. IEEE Trans Antennas Propag 50 9 (2002) 1212-1221
    • (2002) IEEE Trans Antennas Propag , vol.50 , Issue.9 , pp. 1212-1221
    • Liu, J.1    Jin, J.-M.2
  • 49
    • 0037715218 scopus 로고    scopus 로고
    • On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method
    • BenBelgacem F., Fournié M., Gmati N., and Jelassi F. On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. C R Acad Sci Paris Ser I 336 (2003) 277-282
    • (2003) C R Acad Sci Paris Ser I , vol.336 , pp. 277-282
    • BenBelgacem, F.1    Fournié, M.2    Gmati, N.3    Jelassi, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.