L∞-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities - Applied Mathematics

AM > Vol.5 No.3, February 2014

Applied Mathematics

Volume 5, Issue 3 (February 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

L^∞-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities ()

HTML XML

Download as PDF (Size: 240KB) PP. 572-580

DOI: 10.4236/am.2014.53054 3,627 Downloads 5,497 Views Citations

Author(s)

Samira Saadi, Allaoua Mehri

Affiliation(s)

Laboratory LAIG, Department of Mathematics, Guelma University, Guelma, Algeria.
Laboratory LANOS, Department of Mathematics, Badji Mokhtar University, Annaba, Algeria.

ABSTRACT

The Schwarz method for a class of elliptic variational inequalities with noncoercive operator was studied in this work. The author proved the error estimate in L∞-norm for two domains with overlapping nonmatching grids using the geometrical convergence of solutions and the uniform convergence of subsolutions.

KEYWORDS

Variational Inequalities; Schwarz Method; Subsolutions; L^∞-Error Estimates

Share and Cite:

Saadi, S. and Mehri, A. (2014) L^∞-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities. Applied Mathematics, 5, 572-580. doi: 10.4236/am.2014.53054.

Cited by

[1]	On the error analysis of generalized Schwarz parallel algorithm for a class of elliptic variational inequalities
	Authorea Preprints, 2024

[2]	-error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem
	Journal of Inequalities and Applications, 2023

[3]	OVERLAPPING DOMAIN DECOMPOSITION METHODS FOR ELLIPTIC QUASI-VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS
	Proc. of Algerian Mathematicians Mini Congress, 2021

[4]	THE MAXIMUM NORM ANALYSIS OF SCHWARZ METHOD FOR ELLIPTIC QUASI-VARIATIONAL INEQUALITIES
	Kragujevac Journal of Mathematics, 2021

[5]	Approximation par différences finies-éléments finis et comportement asymptotique d'une inéquation variationnelle parabolique
	2020

[6]	MAXIMUM NORM ANALYSIS OF SCHWARZ METHOD FOR ELLIPTIC QUASI-VARIATINALIN EQUALITIE
	Kragujevac Journal of Mathematics, 2019

[7]	A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
	2018

[8]	يملعلا ثحبلاو يلاعلا ميلعتلا ةرازو‎
	2017

[9]	Une nouvelle estimation d'erreur en norme uniforme de l'algorithme de Schwarz pour une inéquation quasi-variationnelle elliptique avec second membre non …
	2017

Journals Menu

Follow SCIRP

	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies