Convergence Analysis For Non Linear System Of Parabolic Variational Inequalities

This work aims to provide a comprehensive and unified numerical analysis for non linear system of parabolic variational inequalities (PVIs) subject to Dirichlet boundary condition. This analysis enables us to establish an existence of the exact solution to the considered model and to prove the conve...

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Bibliographic Details
Main Author	Alnashri, Yahya
Format	Journal Article
Language	English
Published	28.11.2021
Subjects	Computer Science - Numerical Analysis Mathematics - Analysis of PDEs Mathematics - Numerical Analysis
Online Access	Get full text
DOI	10.48550/arxiv.2111.14264

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Summary:	This work aims to provide a comprehensive and unified numerical analysis for non linear system of parabolic variational inequalities (PVIs) subject to Dirichlet boundary condition. This analysis enables us to establish an existence of the exact solution to the considered model and to prove the convergence for the approximate solution and its approximate gradient. Our results are applicable for several conforming and non conforming numerical schemes.
DOI:	10.48550/arxiv.2111.14264