This article is cited in 5 papers

Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems

I. A. Blatov, E. V. Kitaeva

Povolzhskiy State University of Telecommunications and Informatics, 23 Lev Tolstoi str., Samara, 443010, Russia

Abstract: We consider the Galerkin finite element method for non-self-adjoint boundary value problems on Bakhvalov's grids. Using the Galerkin projections method the convergence of a sequence of computational grids with an unknown boundary of the boundary layer has been proved. Numerical examples are presented.

Key words: singularly perturbed boundary value problem, Galerkin projection, Bakhvalov's grid, adaptation algorithms.

UDC: 519.6

Received: 24.02.2015
Revised: 18.05.2015

DOI: 10.15372/SJNM20160104

 English version: Numerical Analysis and Applications, 2016, 9:1, 34–44

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