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Volumn 19, Issue 5, 2003, Pages 653-664

Mass-lumping or not mass-lumping for eigenvalue problems

Author keywords

Eigenvalue problems; Finite elements; Mass lumping

Indexed keywords


EID: 0042835705     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.10058     Document Type: Article
Times cited : (16)

References (9)
  • 1
    • 0001701327 scopus 로고
    • Estimation of the effect of numerical integration in finite element eigenvalue approximation
    • 1 U. Banerjee and J. Osborn, Estimation of the effect of numerical integration in finite element eigenvalue approximation, Numer Math 56 (1990), 735–762.
    • (1990) Numer Math , vol.56 , pp. 735-762
    • Banerjee, U.1    Osborn, J.2
  • 2
    • 84972533559 scopus 로고
    • Asymptotic lower bounds for the frequencies of certain polygonal membranes
    • 2 G. E. Forsythe, Asymptotic lower bounds for the frequencies of certain polygonal membranes, Pacific J Math 4 (1954), 467–480.
    • (1954) Pacific J Math , vol.4 , pp. 467-480
    • Forsythe, G.E.1
  • 3
    • 84972511837 scopus 로고
    • Asymptotic lower bounds for the fundamental frequency of convex membranes
    • 3 G. E. Forsythe, Asymptotic lower bounds for the fundamental frequency of convex membranes, Pacific J Math 5 (1955), 691–702.
    • (1955) Pacific J Math , vol.5 , pp. 691-702
    • Forsythe, G.E.1
  • 4
    • 84980089560 scopus 로고
    • Upper and lower bounds for eigenvalues by finite difference methods
    • 4 H. F. Weinberger, Upper and lower bounds for eigenvalues by finite difference methods, Com on Pure and Appl Math IX (1956), 613–623.
    • (1956) Com on Pure and Appl Math , vol.IX , pp. 613-623
    • Weinberger, H.F.1
  • 5
    • 0004050169 scopus 로고
    • Variational Methods for Eigenvalue Approximation
    • 5 H. F. Weinberger, Variational Methods for Eigenvalue Approximation, SIAM, Philadelphia, 1974.
    • (1974)
    • Weinberger, H.F.1
  • 6
    • 77149156576 scopus 로고
    • Finite Element Methods (Part. 1), in:
    • 6 I. Babuska and J. Osborn, Eigenvalue Problems, Handbook of Numerical Analysis, vol. II, Finite Element Methods (Part. 1), 1991.
    • (1991) , vol.II
    • Babuska, I.1    Osborn, J.2
  • 7
    • 33748433444 scopus 로고    scopus 로고
    • Computer graphics and the eigenfunctions for the Koch snowflake drum, in: Progress in inverse spectral geometry. Birkhuser. Trends in Mathematics
    • 7 C. A. Griffith and M. L. Lapidus, Computer graphics and the eigenfunctions for the Koch snowflake drum. Andersson, S. I. et al. (editors), Progress in inverse spectral geometry. Birkhuser. Trends in Mathematics (1997), 95–113.
    • (1997) , pp. 95-113
    • Griffith, C.A.1    Lapidus, M.L.2
  • 9
    • 0001429616 scopus 로고
    • The eigenvalues of an equilateral triangle
    • 9 M. A. Pinsky, The eigenvalues of an equilateral triangle, SIAM J Math Anal 11 (1980), 819–827.
    • (1980) SIAM J Math Anal , vol.11 , pp. 819-827
    • Pinsky, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.