A singularly perturbed problem with two parameters on a Bakhvalov-type mesh

Mirjana Brdar ^[1] ; Helena Zarin ^[1]
1. [1] University of Novi Sad, Serbia
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 307-319
Idioma: inglés
DOI: 10.1016/j.cam.2015.07.011
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Resumen
- A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-type mesh we prove uniform convergence of a Galerkin finite element method with piecewise linear functions. Arguments in the error analysis include interpolation error bounds for a Clément quasi-interpolant as well as discretization error estimates in an energy norm. Numerical experiments support theoretical findings.