A Dynamical Method for Solving the Obstacle Problem

被引：8

作者：

Ran, Qinghua ^{[1
,2
]}

Cheng, Xiaoliang ^{[1
]}

Abide, Stephane ^{[3
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou, Peoples R China

[2] Guizhou Univ, Sch Math & Stat, Guiyang, Peoples R China

[3] Univ Perpignan, Lab Math & Phys, Perpignan, France

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2020年 / 13卷 / 02期

基金：

欧盟地平线“2020”; 中国国家自然科学基金;

关键词：

Variational inequality; obstacle problem; dynamical system; dynamical functional partical method; MONOTONE MULTIGRID METHODS; ALGORITHM; INEQUALITIES; SYSTEM;

D O I：

10.4208/nmtma.OA-2019-0109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the unilateral obstacle problem, trying to find the numerical solution and coincidence set. We construct an equivalent format of the original problem and propose a method with a second-order in time dissipative system for solving the equivalent format. Several numerical examples are given to illustrate the effectiveness and stability of the proposed algorithm. Convergence speed comparisons with existent numerical algorithm are also provided and our algorithm is fast.

引用

页码：353 / 371

页数：19

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