A General Error Estimate For Parabolic Variational Inequalities

被引：0
|
作者：
Alnashri, Yahya [1 ]
机构：
[1] Umm Al Qura Univ, Al Qunfudah Univ Coll, Dept Math, Mecca, Saudi Arabia
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2022年 / 22卷 / 02期
关键词：
Parabolic Variational Inequalities; Obstacle Problem; Gradient Discretisation; Gradient Schemes; Error Estimates; Convergence; Finite Volume Methods; Hybrid Mimetic Mixed Methods; NUMERICAL-SOLUTION; OBSTACLE PROBLEMS; APPROXIMATION; SIGNORINI; VALUATION; EQUATIONS;
D O I：
10.1515/cmam-2021-0050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The gradient discretisation method (GDM) is a generic framework designed recently, as a discretisation in spatial space, to partial differential equations. This paper aims to use the GDM to establish a first general error estimate for numerical approximations of parabolic obstacle problems. This gives the convergence rates of several well-known conforming and non-conforming numerical methods. Numerical experiments based on the hybrid finite volume method are provided to verify the theoretical results.
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页码：245 / 258
页数：14
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