求解非线性变分不等式的多重网格方法

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4835

Nesba Nour El Houda, Beggas Mohammed, Belouafi Essaid, I. Ahmad, H. Ahmad, Sameh E Askar

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引用次数: 0

摘要

在这项研究中，我们研究了依赖于通过多重网格方法获得的解的二元问题的数值解。具体来说，我们关注多重网格技术在求解非线性变分不等式中的应用。主要目的是建立多重网格算法的一致收敛性。为了实现这一点，我们使用了初等次微分演算，并从非线性多重网格方法的收敛理论中获得了见解。

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Multigrid Methods for the Solution of Nonlinear Variational Inequalities

In this research, we investigate the numerical solution of second member problems that depend on the solution obtained through a multigrid method. Specifically, we focus on the application of multigrid techniques for solving nonlinear variational inequalities. The main objective is to establish the uniform convergence of the multigrid algorithm. To achieve this, we employ elementary subdifferential calculus and draw insights from the convergence theory of nonlinear multigrid methods.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156