Year: 2018
Author: Hai Bi, Yidu Yang, Yuanyuan Yu, Jiayu Han
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 5 : pp. 682–692
Abstract
This paper is concerned with the finite elements approximation for the Steklov eigenvalue problem on concave polygonal domain. We make full use of the regularity estimate and the characteristic of edge average interpolation operator of nonconforming Crouzeix-Raviart element, and prove a new and optimal error estimate in $‖·‖_{0,∂Ω}$ for the eigenfunction of linear conforming finite element and the nonconforming Crouzeix-Raviart element. Finally, we present some numerical results to support the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1703-m2014-0188
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 5 : pp. 682–692
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Steklov eigenvalue problem Concave polygonal domain Linear conforming finite element Nonconforming Crouzeix-Raviart element Error estimates.