A REMARK ON THE REGULARITY OF THE SOLUTIONS OF THE P-LAPLACIAN AND ITS APPLICATION TO THEIR FINITE-ELEMENT APPROXIMATION

被引：49
|
作者：
LIU, WB
BARRETT, JW
机构：
[1] Department of Mathematics, Imperial College, London
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 178卷 / 02期
关键词：
D O I：
10.1006/jmaa.1993.1319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, global H2 regularity is established for the solutions of the p-Laplacian equation, 1 < p ≤ 2, and related equations on domains which are either convex or have C2 boundaries, The results are used to derive some explicit error bounds for the finite element approximation of the p-Laplacian, which were not previously available because of the lack of regularity results. © 1993 Academic Press, Inc.
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收藏
页码：470 / 487
页数：18
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