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Volumn 118, Issue 1, 2011, Pages 171-195

Stable boundary element domain decomposition methods for the Helmholtz equation

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EID: 79954629600     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-010-0315-6     Document Type: Article
Times cited : (30)

References (21)
  • 1
    • 0031234450 scopus 로고    scopus 로고
    • A domain decomposition method for the Helmholtz equation and related optimal control problems
    • Benamou J.-D., Desprès B.: A domain decomposition method for the Helmholtz equation and related optimal control problems. J. Comput. Phys. 136, 68-82 (1997).
    • (1997) J. Comput. Phys. , vol.136 , pp. 68-82
    • Benamou, J.-D.1    Desprès, B.2
  • 2
    • 0142087017 scopus 로고    scopus 로고
    • An additive Schwarz preconditioner for the FETI method
    • Brenner S. C.: An additive Schwarz preconditioner for the FETI method. Numer. Math. 94, 1-31 (2003).
    • (2003) Numer. Math. , vol.94 , pp. 1-31
    • Brenner, S.C.1
  • 3
    • 0035662205 scopus 로고    scopus 로고
    • The direct and inverse scattering problems for partially coated obstacles
    • Cakoni F., Colton D., Monk P.: The direct and inverse scattering problems for partially coated obstacles. Inverse Probl. 17, 1997-2015 (2001).
    • (2001) Inverse Probl. , vol.17 , pp. 1997-2015
    • Cakoni, F.1    Colton, D.2    Monk, P.3
  • 4
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: elementary results
    • Costabel M.: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal. 19, 613-626 (1988).
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 613-626
    • Costabel, M.1
  • 5
    • 0034405892 scopus 로고    scopus 로고
    • A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
    • Farhat C., Macedo A., Lesoinne M.: A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems. Numer. Math. 85, 283-308 (2000).
    • (2000) Numer. Math. , vol.85 , pp. 283-308
    • Farhat, C.1    Macedo, A.2    Lesoinne, M.3
  • 6
    • 0026239487 scopus 로고
    • A method of finite element tearing and interconnecting and its parallel solution algorithm
    • Farhat C., Roux F.-X.: A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Numer. Methods Eng. 32, 1205-1227 (1991).
    • (1991) Int. J. Numer. Methods Eng. , vol.32 , pp. 1205-1227
    • Farhat, C.1    Roux, F.-X.2
  • 7
    • 0028449824 scopus 로고
    • Implicit parallel processing in structural mechanics
    • Farhat C., Roux F.-X.: Implicit parallel processing in structural mechanics. Comput. Mech. Adv. 2, 1-124 (1994).
    • (1994) Comput. Mech. Adv. , vol.2 , pp. 1-124
    • Farhat, C.1    Roux, F.-X.2
  • 9
    • 0035526706 scopus 로고    scopus 로고
    • FETI and Neumann-Neumann iterative substructuring methods: connections and new results
    • Klawonn A., Widlund O. B.: FETI and Neumann-Neumann iterative substructuring methods: connections and new results. Commun. Pure Appl. Math. 54, 57-90 (2001).
    • (2001) Commun. Pure Appl. Math. , vol.54 , pp. 57-90
    • Klawonn, A.1    Widlund, O.B.2
  • 10
    • 34548297209 scopus 로고    scopus 로고
    • Inexact data-sparse boundary element tearing and interconnecting methods
    • Langer U., Of G., Steinbach O., Zulehner W.: Inexact data-sparse boundary element tearing and interconnecting methods. SIAM J. Sci. Comput. 29, 290-314 (2007).
    • (2007) SIAM J. Sci. Comput. , vol.29 , pp. 290-314
    • Langer, U.1    Of, G.2    Steinbach, O.3    Zulehner, W.4
  • 11
    • 0346272618 scopus 로고    scopus 로고
    • Boundary element tearing and interconnecting methods
    • Langer U., Steinbach O.: Boundary element tearing and interconnecting methods. Computing 71, 205-228 (2003).
    • (2003) Computing , vol.71 , pp. 205-228
    • Langer, U.1    Steinbach, O.2
  • 13
    • 0035609885 scopus 로고    scopus 로고
    • On the convergence of a dual-primal substructuring method
    • Mandel J., Tezaur R.: On the convergence of a dual-primal substructuring method. Numer. Math. 88, 543-558 (2001).
    • (2001) Numer. Math. , vol.88 , pp. 543-558
    • Mandel, J.1    Tezaur, R.2
  • 14
    • 0012539472 scopus 로고    scopus 로고
    • Acoustic and Electromagnetic Equations
    • In: Applied Mathematical Sciences Springer, New York
    • Nédélec, J.-C.: Acoustic and Electromagnetic Equations. Integral Representations for Harmonic Problems. In: Applied Mathematical Sciences, vol. 144. Springer, New York (2001).
    • (2001) Integral Representations for Harmonic Problems , vol.144
    • Nédélec, J.C.1
  • 15
    • 33751244992 scopus 로고    scopus 로고
    • Experiences with FETI-DP in a production level finite element approximation
    • In: Herrera, I., Keyes, D. E., Widlund, O., Yates, R. (eds.)The National Autonomous University of Mexico (UNAM), Mexico City,ISBN 970-32-0859-2, Cocoyoc, Mexico, 1st edn
    • Pierson, K. H., Raghaven, P., Reese, G. M.: Experiences with FETI-DP in a production level finite element approximation. In: Herrera, I., Keyes, D. E., Widlund, O., Yates, R. (eds.) Domain decomposition methods in science and engineering, proceedings of the 14th International Conference on Domain Decomposition Methods, Cocoyoc, Mexico, 1st edn. The National Autonomous University of Mexico (UNAM), Mexico City, pp. 233-240. ISBN 970-32-0859-2 (2003).
    • (2003) Domain decomposition methods in science and engineering, proceedings of the 14th International Conference on Domain Decomposition Methods , pp. 233-240
    • Pierson, K.H.1    Raghaven, P.2    Reese, G.M.3
  • 17
    • 27644574907 scopus 로고    scopus 로고
    • Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen
    • B.G. Teubner,Stuttgart
    • Sauter, S. A., Schwab, C.: Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen. B. G. Teubner, Stuttgart (2004).
    • (2004)
    • Sauter, S.A.1    Schwab, C.2
  • 18
    • 20444483196 scopus 로고    scopus 로고
    • Stability estimates for hybrid coupled domain decomposition methods
    • Springer, Berlin
    • Steinbach, O.: Stability estimates for hybrid coupled domain decomposition methods. In: Lecture Notes in Mathematics, vol. 1809. Springer, Berlin (2003).
    • (2003) Lecture Notes in Mathematics , vol.1809
    • Steinbach, O.1
  • 21
    • 34548576174 scopus 로고    scopus 로고
    • Preconditioning the FETI method for accelerating the solution of large EM scattering problems
    • Wolfe C. T., Gedney S. D.: Preconditioning the FETI method for accelerating the solution of large EM scattering problems. IEEE Antennas Wireless Propag. Lett. 6, 175-178 (2007).
    • (2007) IEEE Antennas Wireless Propag. Lett. , vol.6 , pp. 175-178
    • Wolfe, C.T.1    Gedney, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.