The maximum norm analysis of a nonmatching grids method for a class of parabolic $p(x)$-Laplacien equation

Abstract

Motivated by the work of Boulaaras and Haiour in [7], we provide a maximum norm analysis of Schwarz alternating method for parabolic p(x)-Laplacien equation, where an optimal error analysis each subdomain between the discrete Schwarz sequence and the continuous solution of the presented problem is established