A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms

The Schwarz algorithm for a class of elliptic quasi-variational inequalities with nonlinear source terms is studied in this work. The authors prove a new error estimate in uniform norm, making use of a stability property of the discrete solution. The domain is split into two sub-domains with overlap...

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Detalles Bibliográficos
Autores principales: Mehri, Allaoua, Saadi, Samira
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5852253/
https://www.ncbi.nlm.nih.gov/pubmed/29576717
http://dx.doi.org/10.1186/s13660-018-1649-3
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author Mehri, Allaoua
Saadi, Samira
author_facet Mehri, Allaoua
Saadi, Samira
author_sort Mehri, Allaoua
collection PubMed
description The Schwarz algorithm for a class of elliptic quasi-variational inequalities with nonlinear source terms is studied in this work. The authors prove a new error estimate in uniform norm, making use of a stability property of the discrete solution. The domain is split into two sub-domains with overlapping non-matching grids. This approach combines the geometrical convergence of solutions and the uniform convergence of variational inequalities.
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spelling pubmed-58522532018-03-21 A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms Mehri, Allaoua Saadi, Samira J Inequal Appl Research The Schwarz algorithm for a class of elliptic quasi-variational inequalities with nonlinear source terms is studied in this work. The authors prove a new error estimate in uniform norm, making use of a stability property of the discrete solution. The domain is split into two sub-domains with overlapping non-matching grids. This approach combines the geometrical convergence of solutions and the uniform convergence of variational inequalities. Springer International Publishing 2018-03-14 2018 /pmc/articles/PMC5852253/ /pubmed/29576717 http://dx.doi.org/10.1186/s13660-018-1649-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Mehri, Allaoua
Saadi, Samira
A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title_full A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title_fullStr A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title_full_unstemmed A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title_short A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
title_sort new error estimate on uniform norm of schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5852253/
https://www.ncbi.nlm.nih.gov/pubmed/29576717
http://dx.doi.org/10.1186/s13660-018-1649-3
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