W1,∞-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 ‖uh‖1,∞,Ω0 ≤ c‖uh‖−s,Ω1, uh∈ShΩ1 satisfying the interior Ritz equation is proved. For the finite element approximation uh (of degree r−1) to u, we have W1,∞-interior error estimate ‖u−uh‖1,∞,Ω0)≤chr−1(‖u‖r,∞,Ω1+‖u‖1,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
Author Details
Chuan-Miao Chen Email