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 \|u_h\|_{1,∞,Ω_0} ≤ c\|u_h\|_{-s,Ω_1}, u_h\in S^h{Ω_1} satisfying the interior Ritz equation is proved. For the finite element approximation u_h (of degree r-1) to u, we have W^{1,∞}-interior error estimate \|u-u_h\|_{1,∞,Ω_0})≤ch^{r-1} (\|u\|_{r,∞,Ω_1}+\|u\|_{1,Ω}). If the triangulation is strongly regular in Ω_1 and r=2 we obtain W^{1,∞}-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