for Variational Inequalities Related to Ergodic Control Problems
Schwarz Method for Variational Inequalities Related to Ergodic Control Problems
S. Saadi, H. Mécheri
Department of Mathematics, Badji Mokhtar
University, Annaba 23000,
P.O.Box. 12, Annaba 23000, Algeria
In this paper, we study variational inequalities related to ergodic control problems studied by M. Boulbrachène and H. Sissaoui , where the "discount factor" (i.e., the zero order term) is set to 0, we use an overlapping Schwarz method on nomatching grid which consists in decomposing the domain in two subdomains. For α ∈ ]0.1[ we provide the discretization on each subdomain converges in L∞ -norm.
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