Generalized Schwarz Algorithm For A Class Of Variational Inequalities

Authors

Bouzoualegh Ikram, Department of Mathematics, University Badji Mokhtar Annaba, Annaba, AlgeriaFollow
Saadi Samira, Department of Mathematics, University Badji Mokhtar Annaba, Annaba, AlgeriaFollow

Author Country (or Countries)

Algeria

Abstract

We consider a decomposition to m-subdomains of the obstacle problem, which is modeled by a variational inequality of first species, using the auxiliary sequences, and we have proved a alternating relation between the solutions on each subdomain. We also proved a geommetrical convergence between the nth iteration and the solution of the initial problem, we obtained a result on the error estimate that contains a logarithmic factor with an extra power of | log(h)|.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150102

Recommended Citation

Ikram, Bouzoualegh and Samira, Saadi (2021) "Generalized Schwarz Algorithm For A Class Of Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 15: Iss. 1, Article 2.
DOI: http://dx.doi.org/10.18576/amis/150102
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss1/2