First-order least-squares method for the obstacle problem

被引：0
|
作者：
Thomas Führer
机构：
[1] Pontificia Universidad Católica de Chile,Facultad de Matemáticas
来源：
Numerische Mathematik | 2020年 / 144卷
关键词：
65N30; 65N12; 49J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define and analyse a least-squares finite element method for a first-order reformulation of the obstacle problem. Moreover, we derive variational inequalities that are based on similar but non-symmetric bilinear forms. A priori error estimates including the case of non-conforming convex sets are given and optimal convergence rates are shown for the lowest-order case. We provide a posteriori bounds that can be used as error indicators in an adaptive algorithm. Numerical studies are presented.
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页码：55 / 88
页数：33
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