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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 4, Pages 295–308
(Mi sjvm342)
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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
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
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
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https://www.mathnet.ru/eng/sjvm342 https://www.mathnet.ru/eng/sjvm/v2/i4/p295
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Abstract page: | 301 | Full-text PDF : | 160 | References: | 35 |
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