Year: 2015
Author: Fuzheng Gao, Xiaoshen Wang
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 3 : pp. 307–322
Abstract
For Sobolev equation, we present a new numerical scheme based on a modified weak Galerkin finite element method, in which differential operators are approximated by weak forms through the usual integration by parts. In particular, the numerical method allows the use of discontinuous finite element functions and arbitrary shape of element. Optimal order error estimates in discrete $H^1$ and $L^2$ norms are established for the corresponding modified weak Galerkin finite element solutions. Finally, some numerical results are given to verify theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1502-m4509
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 3 : pp. 307–322
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Galerkin FEMs Sobolev equation Discrete weak gradient Modified weak Galerkin Error estimate.
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