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...

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Main Authors: El Houda N.N., Mohammed B., Essaid B.M., Ahmad I., Ahmad H., Askar S.
Other Authors: 58537023700
Format: Article
Published: New York Business Global 2024
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spelling my.uniten.dspace-340612024-10-14T11:17:49Z Multigrid Methods for The Solution of Nonlinear Variational Inequalities El Houda N.N. Mohammed B. Essaid B.M. Ahmad I. Ahmad H. Askar S. 58537023700 57211014198 58537492300 57220824630 57220768187 33367530800 finite element HJB equation iterative method Multigrid method nonlinear variational inequality 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. � 2023 EJPAM All rights reserved. Final 2024-10-14T03:17:49Z 2024-10-14T03:17:49Z 2023 Article 10.29020/nybg.ejpam.v16i3.4835 2-s2.0-85167963800 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85167963800&doi=10.29020%2fnybg.ejpam.v16i3.4835&partnerID=40&md5=e1936e9364507b2bb8e455edb0406fde https://irepository.uniten.edu.my/handle/123456789/34061 16 3 1956 1969 All Open Access Gold Open Access New York Business Global Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic finite element
HJB equation
iterative method
Multigrid method
nonlinear variational inequality
spellingShingle finite element
HJB equation
iterative method
Multigrid method
nonlinear variational inequality
El Houda N.N.
Mohammed B.
Essaid B.M.
Ahmad I.
Ahmad H.
Askar S.
Multigrid Methods for The Solution of Nonlinear Variational Inequalities
description 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. � 2023 EJPAM All rights reserved.
author2 58537023700
author_facet 58537023700
El Houda N.N.
Mohammed B.
Essaid B.M.
Ahmad I.
Ahmad H.
Askar S.
format Article
author El Houda N.N.
Mohammed B.
Essaid B.M.
Ahmad I.
Ahmad H.
Askar S.
author_sort El Houda N.N.
title Multigrid Methods for The Solution of Nonlinear Variational Inequalities
title_short Multigrid Methods for The Solution of Nonlinear Variational Inequalities
title_full Multigrid Methods for The Solution of Nonlinear Variational Inequalities
title_fullStr Multigrid Methods for The Solution of Nonlinear Variational Inequalities
title_full_unstemmed Multigrid Methods for The Solution of Nonlinear Variational Inequalities
title_sort multigrid methods for the solution of nonlinear variational inequalities
publisher New York Business Global
publishDate 2024
_version_ 1814060056366284800
score 13.211869