메뉴 건너뛰기




Volumn 88, Issue 1, 2001, Pages 43-73

Analysis of a coupled finite-infinite element method for exterior Helmholtz problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035583920     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005440     Document Type: Article
Times cited : (43)

References (21)
  • 2
    • 0000350889 scopus 로고
    • On accuracy conditions for the numerical computation of waves
    • A. Bayliss, C.I. Goldstein, E. Turkel, On accuracy conditions for the numerical computation of waves. J. Comp. Phys. 59, 396-404 (1985)
    • (1985) J. Comp. Phys. , vol.59 , pp. 396-404
    • Bayliss, A.1    Goldstein, C.I.2    Turkel, E.3
  • 3
    • 0028099393 scopus 로고
    • A 3-D acoustic infinite element based on a generalized multipole expansion
    • D.S. Burnett, A 3-D acoustic infinite element based on a generalized multipole expansion. J. Acoust. Soc. Am. 96(5), 2798-2816 (1994)
    • (1994) J. Acoust. Soc. Am. , vol.96 , Issue.5 , pp. 2798-2816
    • Burnett, D.S.1
  • 4
    • 0032074453 scopus 로고    scopus 로고
    • Prolate and oblate spheroidal acoustic infinite elements
    • D.S. Burnett, R.L. Holford, Prolate and oblate spheroidal acoustic infinite elements. Comp. Methods Appl. Mech. Eng. 158, 117-141 (1998)
    • (1998) Comp. Methods Appl. Mech. Eng. , vol.158 , pp. 117-141
    • Burnett, D.S.1    Holford, R.L.2
  • 7
    • 0032381159 scopus 로고    scopus 로고
    • Convergence of the infinite element methods for the Helmholtz equation
    • L. Demkowicz, K. Gerdes, Convergence of the infinite element methods for the Helmholtz equation. Numerische Mathematik 79(1), 11-42 (1998)
    • (1998) Numerische Mathematik , vol.79 , Issue.1 , pp. 11-42
    • Demkowicz, L.1    Gerdes, K.2
  • 8
    • 0031646489 scopus 로고    scopus 로고
    • The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains
    • K. Gerdes, The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains, Comp. Methods Appl. Mech. Eng. 152 (1998), 125-145
    • (1998) Comp. Methods Appl. Mech. Eng. , vol.152 , pp. 125-145
    • Gerdes, K.1
  • 9
    • 0030286184 scopus 로고    scopus 로고
    • Solutions of 3D-Laplace and Helmholtz equations in exterior domains using hp infinite elements
    • K. Gerdes, L. Demkowicz, Solutions of 3D-Laplace and Helmholtz equations in exterior domains using hp infinite elements. Comput. Methods Appl. Mech. Eng. 137, 239-273 (1996)
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.137 , pp. 239-273
    • Gerdes, K.1    Demkowicz, L.2
  • 10
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • M.J. Grote, J.B. Keller, On nonreflecting boundary conditions, J. Comp. Phys. 122, 231-243 (1995)
    • (1995) J. Comp. Phys. , vol.122 , pp. 231-243
    • Grote, M.J.1    Keller, J.B.2
  • 11
    • 0026862372 scopus 로고
    • Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains
    • L. Harari, T. Hughes, Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains. Comp. Methods Appl. Mech. Eng. 97, 103-124 (1992)
    • (1992) Comp. Methods Appl. Mech. Eng. , vol.97 , pp. 103-124
    • Harari, L.1    Hughes, T.2
  • 12
    • 0028495133 scopus 로고
    • Error analysis in numerical solution of acoustic integral equations
    • G.C. Hsiao, R.E. Kleinman, Error analysis in numerical solution of acoustic integral equations. Int. J. Numer. Methods Eng. 37, 2921-2933 (1994)
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 2921-2933
    • Hsiao, G.C.1    Kleinman, R.E.2
  • 13
    • 0001201384 scopus 로고
    • Finite element solution to the Helmholtz equation with high wave numbers - Part I: The h-version of the FEM
    • F. Ihlenburg, I. Babuška, Finite element solution to the Helmholtz equation with high wave numbers - part I: the h-version of the FEM. Computers & Mathematics with Applications 30(9), 9-37 (1995)
    • (1995) Computers & Mathematics with Applications , vol.30 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.2
  • 14
    • 0001299857 scopus 로고    scopus 로고
    • Finite element solution to the Helmholtz equation with high wave numbers - Part II: The h-p-version of the FEM
    • F. Ihlenburg, I. Babuška, Finite element solution to the Helmholtz equation with high wave numbers - part II: the h-p-version of the FEM. SIAM J. Numer. Anal. 34(1), 315-358 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.1 , pp. 315-358
    • Ihlenburg, F.1    Babuška, I.2
  • 15
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimation of Galerkin finite element methods secfor the Helmholtz equation
    • F. Ihlenburg, I. Babuška, Dispersion analysis and error estimation of Galerkin finite element methods secfor the Helmholtz equation. Int. J. Numer. Methods Eng. 38, 3745-3774 (1995)
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 20
    • 0032475719 scopus 로고    scopus 로고
    • A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
    • J.J. Shirron, I. Babuška, A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. Comp. Methods Appl. Mech. Eng. 164, 121-139 (1998)
    • (1998) Comp. Methods Appl. Mech. Eng. , vol.164 , pp. 121-139
    • Shirron, J.J.1    Babuška, I.2
  • 21
    • 84980080840 scopus 로고
    • An expansion theorem for electromagnetic fields
    • C. H. Wilcox, An expansion theorem for electromagnetic fields. Comm. Pure Appl. Math. 9, 115-134 (1956)
    • (1956) Comm. Pure Appl. Math. , vol.9 , pp. 115-134
    • Wilcox, C.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.