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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.


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