Uniform Approximation of Singularly Perturbed Reaction-Diffusion Problems by the Finite Element Method on a Shishkin Mesh
نویسندگان
چکیده
We consider the numerical approximation of singularly perturbed reaction-diffusion problems over twodimensional domains with smooth boundary. Using the h version of the finite element method over appropriately designed piecewise uniform (Shishkin) meshes, we are able to uniformly approximate the solution at a quasi-optimal rate. The results of numerical computations showing agreement with the analysis are also presented. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 89–111, 2003
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