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

Journal of Inequalities and Applications

Samira Saadi¹  Allaoua Mehri² 

[1] Lab. LANOS, Department of Mathematics, University Badji Mokhtar Annaba;Lab. LANOS, Department of Mathematics, University May 8th 1945;

关键词: Schwarz algorithm;    Overlapping grids;    Quasi-variational inequalities;    Stability property;    Error estimates;   

DOI  :  10.1186/s13660-018-1649-3

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown