CONVERGENCE OF THE NONCONFORMING WILSON’S BRICK FOR ARBITRARY HEXAHEDRAL MESHES

The nonconforming Wilson’s brick classically is restricted to regular hexahedral meshes. Lesaint and Zlamal[6] relaxed this constraint for the two-dimensional analonue of this element In this paper we extend their results to three dimensions and prove that and where u is the exact solution, u_h is t...

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Veröffentlicht in:高等学校计算数学学报:英文版 1997 (2), p.184-199
1. Verfasser: 刘发旺 Conor J. Fitzsimons John J.H.Miller
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Sprache:eng
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Zusammenfassung:The nonconforming Wilson’s brick classically is restricted to regular hexahedral meshes. Lesaint and Zlamal[6] relaxed this constraint for the two-dimensional analonue of this element In this paper we extend their results to three dimensions and prove that and where u is the exact solution, u_h is the approximate solution and is the usual norm for the Sobolev space H~1(?).
ISSN:1004-8979
2079-7338