Some new properties of asynchronous algorithms of theta scheme combined with finite elements methods for an evolutionary implicit 2-sided obstacle problem

被引：19

作者：

Boulaaras, Salah ^{[1
,2
]}

机构：

[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia

[2] Univ Oran, Lab Fundamental & Appl Math Oran LMFAO, 1 Ahmed Benbella, Es Senia, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

approximately contracting; finite elements; fixed point; inequalities; theta scheme; 2-sided obstacle; VARIATIONAL-INEQUALITIES; HJB EQUATIONS; APPROXIMATION;

D O I：

10.1002/mma.4525

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some new properties of the presented asynchronous algorithms of theta scheme combined with finite elements methods (App. Math. Comp., 217 (2011), 6443-6450) for an evolutionary implicit 2-sided obstacle problem to prove the existence and uniqueness of the discrete solution. Furthermore, an error estimate on the uniform norm is given.

引用

页码：7231 / 7239

页数：9

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