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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 4, Pages 295–308 (Mi sjvm342)  

This article is cited in 4 scientific papers (total in 4 papers)

Lumped mass approximation for an isoparametric finite element eigenvalue problem

A. B. Andreevab, T. D. Todorovb

a Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Sofia
b Department of Mathematics, Technical University of Gabrovo, Bulgaria, Sofia
Full-text PDF (650 kB) Citations (4)
References:
Abstract: We consider isoparametric variant, of the lumped mass modification of the standard Calerkin method for second-order elliptic eigenvalue prohlem. The lumping of the mass matrix results from the use of an appropriate isoparametric quadrature formula for the integrals over triangular Lagrange finite elements. The analysis of the 7-node finite element transformations is made. The convergence of the eigenvalue approximations is proved.
Received: 20.04.1999
Bibliographic databases:
Document Type: Article
MSC: 65N25, 65N30
Language: English
Citation: A. B. Andreev, T. D. Todorov, “Lumped mass approximation for an isoparametric finite element eigenvalue problem”, Sib. Zh. Vychisl. Mat., 2:4 (1999), 295–308
Citation in format AMSBIB
\Bibitem{AndTod99}
\by A.~B.~Andreev, T.~D.~Todorov
\paper Lumped mass approximation for an isoparametric finite element eigenvalue problem
\jour Sib. Zh. Vychisl. Mat.
\yr 1999
\vol 2
\issue 4
\pages 295--308
\mathnet{http://mi.mathnet.ru/sjvm342}
\zmath{https://zbmath.org/?q=an:0942.65124}
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  • https://www.mathnet.ru/eng/sjvm/v2/i4/p295
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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