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Volumn 28, Issue 7, 1997, Pages 417-424

Reliability of finite element methods for the numerical computation of waves

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES; VECTORS;

EID: 0031259015     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0965-9978(97)00007-0     Document Type: Article
Times cited : (67)

References (17)
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  • 4
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    • Finite element solution to the Helmholtz equation with high wave number - Part I: The h-version of the FEM
    • Ihlenburg F. and Babuška, I., Finite element solution to the Helmholtz equation with high wave number - part I: The h-version of the FEM. Computers Mathematics and with Applications, 1995, 30(9), 9-37.
    • (1995) Computers Mathematics and with Applications , vol.30 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.2
  • 6
    • 0001299857 scopus 로고    scopus 로고
    • Finite element solution to the Helmholtz equation with high wave number - Part II: The h-p-version of the FEM
    • Ihlenburg F. and Babuška, I., Finite element solution to the Helmholtz equation with high wave number - part II: The h-p-version of the FEM. SIAM Journal of Numerical Analysis, 1997, 34(1) 315-358.
    • (1997) SIAM Journal of Numerical Analysis , vol.34 , Issue.1 , pp. 315-358
    • Ihlenburg, F.1    Babuška, I.2
  • 7
    • 0029239896 scopus 로고
    • A galerkin least squares finite element method for the two-dimensional Helmholtz equation
    • Thompson L. L. and Pinsky, P. M., A Galerkin least squares finite element method for the two-dimensional Helmholtz equation. International Journal of Numerical Methods in Engineering, 1995, 38(3), 371-397.
    • (1995) International Journal of Numerical Methods in Engineering , vol.38 , Issue.3 , pp. 371-397
    • Thompson, L.L.1    Pinsky, P.M.2
  • 9
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    • Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers
    • in press
    • Babuška, I. and Sauter, S., Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers. SIAM Journal on Numerical Analysis (in press).
    • SIAM Journal on Numerical Analysis
    • Babuška, I.1    Sauter, S.2
  • 10
  • 11
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimation of galerkin finite element methods for the numerical computation of waves
    • Ihlenburg, F. and Babuška, I., Dispersion analysis and error estimation of Galerkin finite element methods for the numerical computation of waves. International Journal of Numerical Methods in Engineering, 1995, 38, 3745-3774.
    • (1995) International Journal of Numerical Methods in Engineering , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 12
    • 3943099075 scopus 로고    scopus 로고
    • The pollution effect in FE solutions of the 3D Helmholtz equation with large wavenumber
    • Gerdes, K. and Ihlenburg, F., The pollution effect in FE solutions of the 3D Helmholtz equation with large wavenumber. TICAM Technical Report 5/96.
    • TICAM Technical Report 5/96
    • Gerdes, K.1    Ihlenburg, F.2
  • 13
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    • The partition of unity finite element method
    • Institute for Physical Science and Technology, University of Maryland at College Park
    • Babuška, I. and Melenk, J. M., The partition of unity finite element method. Technical Note BN-1195, Institute for Physical Science and Technology, University of Maryland at College Park, 1995.
    • (1995) Technical Note BN-1195
    • Babuška, I.1    Melenk, J.M.2
  • 15
    • 0042650895 scopus 로고
    • Error estimates of Galerkin FEM for fluid-solid interaction
    • ed. W. Hackbusch, and G. Wittum, Vieweg
    • Ihlenburg, F. and Makridakis, Ch., Error estimates of Galerkin FEM for fluid-solid interaction. In Numerical Treatment of Coupled Systems, ed. W. Hackbusch, and G. Wittum, Vieweg, 1995, pp. 96-105.
    • (1995) Numerical Treatment of Coupled Systems , pp. 96-105
    • Ihlenburg, F.1    Makridakis, Ch.2
  • 16
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    • (1996) TICAM Technical Report , vol.6
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  • 17
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    • Part II: Estimation of the pollution error
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    • International Journal of Numerical Methods in Engineering


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