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A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method

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dc.citedby0
dc.contributor.authorBahi M.en_US
dc.contributor.authorBeggas M.en_US
dc.contributor.authorNesba N.en_US
dc.contributor.authorImtiaz A.en_US
dc.contributor.authorid59562493500en_US
dc.contributor.authorid57211014198en_US
dc.contributor.authorid59562317400en_US
dc.contributor.authorid59563158700en_US
dc.date.accessioned2025-03-03T07:41:26Z
dc.date.available2025-03-03T07:41:26Z
dc.date.issued2024
dc.description.abstractIn this article, we apply three numerical methods to study the L�convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand side. To discretize the problem, we utilize a finite element method for the operator and Euler scheme for the time. To obtain the system discretization of the problem, we reformulate the parabolic quasi-variational inequality as a Hamilton?Jacobi?Bellman equation. For linearizing the problem on the coarse grid, we employ Newton?s method as an external interior iteration of the Jacobian system. On the smooth grid, we apply the multigrid method as an interior iteration on the Jacobian system. Finally, we provide a proof for the L�-convergence of the Newton-multigrid method for parabolic quasi-variational inequalities with a nonlinear right-hand, by giving a numerical example for this problem. ? 2024 Ferdowsi University of Mashhad. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.22067/IJNAO.2024.86954.1395
dc.identifier.epage1015
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85218097972
dc.identifier.spage991
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85218097972&doi=10.22067%2fIJNAO.2024.86954.1395&partnerID=40&md5=7ca12cdd3df0f413c9356697f8d1dc70
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36140
dc.identifier.volume14
dc.pagecount24
dc.publisherFerdowsi University of Mashhaden_US
dc.sourceScopus
dc.sourcetitleIranian Journal of Numerical Analysis and Optimization
dc.titleA numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid methoden_US
dc.typeArticleen_US
dspace.entity.typePublication
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