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A posteriori error estimates for the generalized Schwarz method of a new class of advection-diffusion equation with mixed boundary condition
Journal article   Peer reviewed

A posteriori error estimates for the generalized Schwarz method of a new class of advection-diffusion equation with mixed boundary condition

Salah Boulaaras, Mohammed Said Touati Brahim and Smail Bouzenada
Mathematical methods in the applied sciences, Vol.41(14), pp.5493-5505
30/09/2018
DOI: https://doi.org/10.1002/mma.5092

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, a posteriori error estimates for the generalized Schwarz method with mixed boundary condition on the interfaces for advection-diffusion equation with second-order boundary value problems are proved using theta time scheme combined with Galerkin spatial method. Furthermore, a asymptotic behavior in Sobolev norm is deduced using Benssoussan-Lions' algorithm.

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