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Volumn 190, Issue 5-7, 2000, Pages 639-657

Dispersion and pollution of meshless solutions for the Helmholtz equation

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS;

EID: 0034315646     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00430-2     Document Type: Article
Times cited : (82)

References (17)
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    • F. Ihlenburg, I. Babuška, Finite element solution of the Helmholtz equation with high wave number part 1 the h-version of the FEM, Comput. Math. Appl. 38 (9) (1995) 9-37.
    • (1995) Comput. Math. Appl. , vol.38 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.2
  • 2
    • 0001589473 scopus 로고    scopus 로고
    • Error estimation and adaptivity for the finite element solution in acoustics
    • P. Ladevèze, J.T. Oden (Eds.), Elsevier, Amsterdam
    • Ph. Bouillard, F. Ihlenburg, Error estimation and adaptivity for the finite element solution in acoustics, in: P. Ladevèze, J.T. Oden (Eds.), Advances in Adaptive Computational Methods in Mechanics, Elsevier, Amsterdam, 1998.
    • (1998) Advances in Adaptive Computational Methods in Mechanics
    • Bouillard, Ph.1    Ihlenburg, F.2
  • 3
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
    • F. Ihlenburg, I. Babuška, Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation, Int. J. Numer. Meth. Engrg. 38 (1995) 3745-3774.
    • (1995) Int. J. Numer. Meth. Engrg. , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 4
    • 0031234255 scopus 로고    scopus 로고
    • A posteriori error estimation for finite element solutions of Helmholtz' equation. Part I: The quality of local indicators and estimators
    • I. Babuška, F. Ihlenburg, T. Strouboulis, S.K. Gangaraj, A posteriori error estimation for finite element solutions of Helmholtz' equation. Part I: The quality of local indicators and estimators, Int. J. Numer. Meth. Engrg. 40 (1997) 3443-3462.
    • (1997) Int. J. Numer. Meth. Engrg. , vol.40 , pp. 3443-3462
    • Babuška, I.1    Ihlenburg, F.2    Strouboulis, T.3    Gangaraj, S.K.4
  • 6
    • 0029487468 scopus 로고
    • A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
    • I. Babuška, F. Ihlenburg, E. Paik, S. Sauter, A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution, Comput. Meth. Appl. Mech. Engrg. 128 (1995) 325-359.
    • (1995) Comput. Meth. Appl. Mech. Engrg. , vol.128 , pp. 325-359
    • Babuška, I.1    Ihlenburg, F.2    Paik, E.3    Sauter, S.4
  • 9
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster, K. Salkausas, Surfaces generated by moving least squares methods, Math. Comput. 37 (1981) 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkausas, K.2
  • 12
    • 0032136822 scopus 로고    scopus 로고
    • Element-free Galerkin solutions for Helmholtz problems: Formulation and numerical assessment of the pollution effect
    • Ph. Bouillard and S. Suleau, Element-free Galerkin solutions for Helmholtz problems: formulation and numerical assessment of the pollution effect, Comput. Meth. Appl. Mech. Engrg. 162 (1998) 317-335.
    • (1998) Comput. Meth. Appl. Mech. Engrg. , vol.162 , pp. 317-335
    • Bouillard, Ph.1    Suleau, S.2
  • 13
    • 0031208524 scopus 로고    scopus 로고
    • An improved element free Galerkin formulation
    • I. Kaljevic, S. Saigal, An improved element free Galerkin formulation, Int. J. Numer. Meth. Engrg. 40 (1997) 2953-2974.
    • (1997) Int. J. Numer. Meth. Engrg. , vol.40 , pp. 2953-2974
    • Kaljevic, I.1    Saigal, S.2
  • 14
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Y. Krongauz, T. Belytschko, Enforcement of essential boundary conditions in meshless approximations using finite elements, Comput. Meth. Appl. Mech. Eng. 131 (1996) 133-145.
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 15
    • 85031545384 scopus 로고    scopus 로고
    • Dispersion and pollution of the FEM sloution for the Helmholtz equation in one, two and three dimensions'
    • accepted
    • A. Deramaeker, I. Babuška, Ph. Bouillard, Dispersion and pollution of the FEM sloution for the Helmholtz equation in one, two and three dimensions', Int. J. Numer. Meth. Engrg. (accepted).
    • Int. J. Numer. Meth. Engrg.
    • Deramaeker, A.1    Babuška, I.2    Bouillard, Ph.3
  • 16
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    • ID Dispersion analysis for the element-free Galerkin method for the Helmholtz equation
    • submitted
    • S. Suleau, Ph. Bouillard, ID Dispersion analysis for the element-free Galerkin method for the Helmholtz equation, Int. J. Numer. Meth. Engrg. (submitted).
    • Int. J. Numer. Meth. Engrg.
    • Suleau, S.1    Bouillard, Ph.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.