Multigrid Methods for the Solution of Nonlinear Variational Inequalities
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Published:2023-07-30
Issue:3
Volume:16
Page:1956-1969
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
El Houda Nesba Nour,Mohammed Beggas,Essaid Belouafi,Ahmad Imtiaz,Ahmad Hijaz,Askar Sameh
Abstract
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science