The Sdfem for a Convection-diffusion Problem with Two Small Parameters

By Hans-Görg Roos, Zorica Uzelac. 2003

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Abstract A singularly perturbed convection-diffusion problem with two small parameters is considered. The problem is solved using the streamline-diffusion finite element method on a Shishkin mesh. We prove that the method is convergent independently of the perturbation parameters. Numerical experiments support these theoretical results.

Subfields: Applied Mathematics, Mechanical Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b107e2880dfbc79e7ba0396e4d46ab6459c6c952