메뉴 건너뛰기




Volumn 195, Issue 29-32, 2006, Pages 3742-3759

Algebraic approximation of Dirichlet-to-Neumann maps for the equations of linear elasticity

Author keywords

Absorbing boundary conditions; Dirichlet to Neumann; Domain decomposition; Linear elasticity

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; ELASTICITY; LINEAR EQUATIONS; MAPS; NUMERICAL ANALYSIS; SPECTRUM ANALYSIS;

EID: 33645942105     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.01.022     Document Type: Article
Times cited : (50)

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. J. Comput. Phys. 136 (1997) 68-82
    • (1997) J. Comput. Phys. , vol.136 , pp. 68-82
    • Benamou, J.-D.1    Després, B.2
  • 2
    • 0000831071 scopus 로고    scopus 로고
    • Symmetrized method with optimized second-order conditions for the Helmholtz equation
    • Chevalier P., and Nataf F. Symmetrized method with optimized second-order conditions for the Helmholtz equation. Contemp. Math. 218 (1998) 400-407
    • (1998) Contemp. Math. , vol.218 , pp. 400-407
    • Chevalier, P.1    Nataf, F.2
  • 3
    • 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. Engrg. 184 (2000) 171-211
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.184 , pp. 171-211
    • Collino, F.1    Ghanemi, S.2    Joly, P.3
  • 4
    • 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. 31 139 (1977) 629-651
    • (1977) Math. Comput. , vol.31 , Issue.139 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 5
    • 0032136457 scopus 로고    scopus 로고
    • Absorbing boundary conditions for domain decomposition
    • Engquist B., and Zhao H.K. Absorbing boundary conditions for domain decomposition. Appl. Numer. Math. 27 (1998) 341-365
    • (1998) Appl. Numer. Math. , vol.27 , pp. 341-365
    • Engquist, B.1    Zhao, H.K.2
  • 6
    • 0011839506 scopus 로고
    • The dual Schur complement method with well-posed local Neumann problems: regularization with a perturbed Lagrangian formulation
    • Farhat C., Chen P.S., and Roux F.-X. The dual Schur complement method with well-posed local Neumann problems: regularization with a perturbed Lagrangian formulation. SIAM J. Sci. Stat. Comput. 14 (1993) 752-759
    • (1993) SIAM J. Sci. Stat. Comput. , vol.14 , pp. 752-759
    • Farhat, C.1    Chen, P.S.2    Roux, F.-X.3
  • 7
    • 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., Magoulès 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. Engrg. 184 2 (2000) 213-240
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.184 , Issue.2 , pp. 213-240
    • Farhat, C.1    Macedo, A.2    Lesoinne, M.3    Roux, F.-X.4    Magoulès, F.5    de la Bourdonnaye, A.6
  • 8
    • 0028449824 scopus 로고
    • Implicit parallel processing in structural mechanics
    • Farhat C., and Roux F.X. Implicit parallel processing in structural mechanics. Comput. Mech. Adv. 2 (1994) 1-124
    • (1994) Comput. Mech. Adv. , vol.2 , pp. 1-124
    • Farhat, C.1    Roux, F.X.2
  • 9
    • 33645920877 scopus 로고    scopus 로고
    • M. Gander, L. Halpern, F. Nataf, Optimal convergence for overlapping and non-overlapping Schwarz waveform relaxation, in: Proceedings of the 11th international symposium on Domain Decomposition Methods, 1999.
  • 10
    • 0037246084 scopus 로고    scopus 로고
    • Optimized Schwarz methods without overlap for the Helmholtz equation
    • Gander M., Magoulès F., and Nataf F. Optimized Schwarz methods without overlap for the Helmholtz equation. SIAM J. Scient. Comput. 24 1 (2002) 38-60
    • (2002) SIAM J. Scient. Comput. , vol.24 , Issue.1 , pp. 38-60
    • Gander, M.1    Magoulès, F.2    Nataf, F.3
  • 11
    • 33645904384 scopus 로고    scopus 로고
    • S. Ghanemi, A domain decomposition method for Helmholtz scattering problems, in: P.E. Bjørstad, M. Espedal, D. Keyes (Eds.), Ninth International Conference on Domain Decomposition Methods, 1997, pp. 105-112.
  • 12
    • 0000797694 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions without high-order derivatives
    • Givoli D. High-order non-reflecting boundary conditions without high-order derivatives. J. Comput. Phys. 170 (2001) 849-870
    • (2001) J. Comput. Phys. , vol.170 , pp. 849-870
    • Givoli, D.1
  • 13
    • 85011457104 scopus 로고    scopus 로고
    • Radiation boundary conditions for the numerical simulation of waves
    • Hagstrom T. Radiation boundary conditions for the numerical simulation of waves. Acta Numer. 8 (1999) 47-106
    • (1999) Acta Numer. , vol.8 , pp. 47-106
    • Hagstrom, T.1
  • 14
    • 84968503422 scopus 로고
    • Absorbing boundary conditions for the discretization schemes of the one dimensional wave equation
    • Halpern L. Absorbing boundary conditions for the discretization schemes of the one dimensional wave equation. Math. Comput. 38 (1982) 415-429
    • (1982) Math. Comput. , vol.38 , pp. 415-429
    • Halpern, L.1
  • 15
    • 33645902051 scopus 로고    scopus 로고
    • P. Joly, O. Vacus, Sur l'analyse des conditions aux limites absorbantes pour l'équation de Helmholtz, INRIA, rapport de recherche, 1996, pp. 28-50.
  • 16
    • 6444224333 scopus 로고    scopus 로고
    • Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation
    • Magoulès F., Ivànyi P., and Topping B.H.V. Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation. Comput. Methods Appl. Mech. Engrg. 193 45-47 (2004) 4797-4818
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.45-47 , pp. 4797-4818
    • Magoulès, F.1    Ivànyi, P.2    Topping, B.H.V.3
  • 17
    • 3342955727 scopus 로고    scopus 로고
    • Convergence analysis of Schwarz methods without overlap for the Helmholtz equation
    • Magoulès F., Ivànyi P., and Topping B.H.V. Convergence analysis of Schwarz methods without overlap for the Helmholtz equation. Comput. Struct. 82 (2004) 1835-1847
    • (2004) Comput. Struct. , vol.82 , pp. 1835-1847
    • Magoulès, F.1    Ivànyi, P.2    Topping, B.H.V.3
  • 18
    • 6344237441 scopus 로고    scopus 로고
    • Optimal discrete transmission conditions for a non-overlapping domain decomposition method for the Helmholtz equation
    • Magoulès F., Roux F.-X., and Salmon S. Optimal discrete transmission conditions for a non-overlapping domain decomposition method for the Helmholtz equation. SIAM J. Scient. Comput. 25 5 (2004) 1497-1515
    • (2004) SIAM J. Scient. Comput. , vol.25 , Issue.5 , pp. 1497-1515
    • Magoulès, F.1    Roux, F.-X.2    Salmon, S.3
  • 19
    • 33645913737 scopus 로고    scopus 로고
    • F. Nataf, F. Rogier, E. de Sturler, Optimal interface conditions for domain decomposition methods, CMAP (Ecole Polytechnique), 1994.
  • 20
    • 33645938209 scopus 로고    scopus 로고
    • F.-X. Roux, F. Magoulès, S. Salmon, L. Series, Optimization of interface operator based on algebraic approach, in: 14th International Conference on Domain Decomposition Methods in Cocoyoc, Mexico, 2002, pp. 297-304.
  • 23
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains. A review
    • Tsynkov S.V. Numerical solution of problems on unbounded domains. A review. Appl. Numer. Math. 27 (1998) 465-532
    • (1998) Appl. Numer. Math. , vol.27 , pp. 465-532
    • Tsynkov, S.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.