Gradient Schemes for an Obstacle Problem

被引：3
作者：
Alnashri, Yahya [1 ,2 ]
Droniou, Jerome [1 ]
机构：
[1] Monash Univ, Melbourne, Vic, Australia
[2] Umm Alqura Univ, Mecca, Saudi Arabia
来源：
FINITE VOLUMES FOR COMPLEX APPLICATIONS VII - METHODS AND THEORETICAL ASPECTS | 2014年 / 77卷
关键词：
VARIATIONAL-INEQUALITIES; POROUS-MEDIA; APPROXIMATION;
D O I：
10.1007/978-3-319-05684-5_5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this work is to adapt the gradient schemes, discretisations of weak variational formulations using independent approximations of functions and gradients, to obstacle problems modelled by linear and non-linear elliptic variational inequalities. It is highlighted in this paper that four properties which are coercivity, consistency, limit conformity and compactness are adequate to ensure the convergence of this scheme. Under some suitable assumptions, the error estimate for linear equations is also investigated.
引用
收藏
页码：67 / 75
页数：9
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