On the numerical analysis of the generalized Schwarz parallel algorithm for a class of elliptic variational inequalities
• Ikram BOUZOUALEGH,
Ikram BOUZOUALEGH
University of Badji Mokhtar Annaba Department of Mathematics
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University of Badji Mokhtar Annaba Department of Mathematics
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## Abstract

In this work, we study a parallel Schwarz method for a class of elliptic variational inequalities. The domain is split into $$m$$ sub-domains with overlapping nonmatching grids. The principal result of this investigation is to prove the error estimate in $$L^{\infty}$$-norm, making use of a geometrical convergence, and the uniform convergence.

#### Peer review status:IN REVISION

25 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
26 Sep 2020Assigned to Editor
26 Sep 2020Submission Checks Completed
02 Oct 2020Reviewer(s) Assigned
17 Feb 2021Review(s) Completed, Editorial Evaluation Pending
17 Feb 2021Editorial Decision: Revise Major