Year: 2008
Author: Xiaoying Dai, Lihua Shen, Aihui Zhou
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 570–589
Abstract
Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order finite element eigenvalue approximations. Its efficiency is proven by theoretical and numerical evidences. It is shown that the solution of an eigenvalue problem in a higher order finite element space may be reduced to the solution of an eigenvalue problem in a lower order finite element space, and the solutions of some linear algebraic systems in the higher order finite element space by some local and parallel procedure.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-827
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 570–589
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: eigenvalue finite element higher order local computation.