Year: 2004
Author: Jun Hu, Yunqing Huang, Hongmei Shen
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 545–556
Abstract
In the present paper, we investigate properties of lumped mass finite element method (LFEM hereinafter) eigenvalues of elliptic problems. We propose an equivalent formulation of LFEM and prove that LFEM eigenvalues are smaller than the standard finite element method (SFEM hereinafter) eigenvalues. It is shown, for model eigenvalue problems with uniform meshes, that LFEM eigenvalues are not greater than exact solutions and that they are increasing functions of the number of elements of the triangulation, and numerical examples show that this result equally holds for general problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10304
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 545–556
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Lumped mass Eigenvalue Min-max principle Finite element.