A new class of Zienkiewicz-type non-conforming element in any dimensions |
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| Authors: | Ming Wang Zhong-ci Shi Jinchao Xu |
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| Affiliation: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, China;(2) Institute of Computational Mathematics, CAS, Beijing, China;(3) Department of Mathematics, Pennsylvania State University, University Park, PA, USA |
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| Abstract: | In this paper, a new class of Zienkiewicz-type non-conforming finite element, in n spatial dimensions with n ≥ 2, is proposed. The new finite element is proved to be convergent for the biharmonic equation. The work was supported by the National Natural Science Foundation of China (10571006). This work was supported in part by NSF DMS-0209497 and NSF DMS-0215392 and the Changjiang Professorship through Peking University. |
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| Keywords: | KeywordHeading" >Mathematics Subject Classification 65N30 |
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