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

Mirjana Brdar, Helena Zarin

  • 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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