Multigrid methods for non coercive variational inequalities

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:73 Issue:1
Multigrid methods for non coercive variational inequalities

Multigrid methods for non coercive variational inequalities

Authors : Nour El Houda Nesba, Mohammed Beggas

Pages : 222-234

Doi:10.31801/cfsuasmas.1225525

View : 32 | Download : 83

Publication Date : 2024-03-16

Article Type : Research Paper

Abstract :In this study, our examination centers around the numerical resolution of non-coercive issues using a multi-grid approach. Our particular emphasis is directed towards employing multi-grid methodologies to tackle non-linear variational inequalities. Our primary goal involves confirming the consistent convergence of the multi-grid algorithm. To attain this objective, we make use of fundamental sub-differential calculus and glean insights from the convergence principles of non-linear multi-grid techniques.
Keywords : Multigrid method, variational inequality, finite element, iterative method, HJB equation, non coercive operator

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