POINTWISE ERROR ESTIMATES FOR C0 INTERIOR PENALTY APPROXIMATION OF BIHARMONIC PROBLEMS

被引：1
|
作者：
Leykekhman, D. [1 ]
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
来源：
MATHEMATICS OF COMPUTATION | 2021年 / 90卷 / 327期
关键词：
Maximum norm; finite element method; pointwise error estimates; Green's function; biharmonic equation; interior penalty; local error estimates; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT METHODS; MAXIMUM-NORM; EQUATIONS;
D O I：
10.1090/mcom/3596
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to derive pointwise global and local best approximation type error estimates for biharmonic problems using the C-0 interior penalty method. The analysis uses the technique of dyadic decompositions of the domain, which is assumed to be a convex polygon. The proofs require local energy estimates and new pointwise Green's function estimates for the continuous problem which has independent interest.
引用
收藏
页码：41 / 63
页数：23
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