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
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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.