A posteriori error estimates for the generalized overlapping domain decomposition method for a parabolic variational equation with mixed boundary condition

Salah Boulaaras; Khaled Habita; Mohamed Haiour

doi:10.5269/bspm.v38i4.40535

A posteriori error estimates for the generalized overlapping domain decomposition method for a parabolic variational equation with mixed boundary condition

Salah Boulaaras Qassim University College of Sciences and Arts Department of Mathematics
Khaled Habita University of El Oued Faculty of Science and Technology Department of Mathematics & Computer Science
Mohamed Haiour Annaba University Faculty Of Sciences Department Of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i4.40535

Keywords: A posteriori error estimates, GODDM, mixed boundary condition condition, Parabolic equation

Abstract

The paper deals with a posteriori error estimates for the generalized overlapping domain decomposition method with mixed boundary condition the interfaces for parabolic variational equation with Laplace boundary value problems are proved using by the theta time scheme combined with Galerkin spatial approximation.