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W1,-Interior Estimates for Finite Element Method on Regular Mesh

$W^{1,∞}$-Interior Estimates for Finite Element Method on Regular Mesh

Year:    1985

Author:    Chuan-Miao Chen

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 1–7

Abstract

For a large class of piecewise polynomial subspaces Sh defined on the regular mesh, W1,-interior estimate uh1,,Ω0cuhs,Ω1, uhShΩ1 satisfying the interior Ritz equation is proved. For the finite element approximation uh (of degree r1) to u, we have W1,-interior error estimate uuh1,,Ω0)≤chr1(ur,,Ω1+u1,Ω). If the triangulation is strongly regular in Ω1 and r=2 we obtain W1,-interior superconvergence.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9601

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 1–7

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:   

Author Details

Chuan-Miao Chen Email