Optimal Mesh Design for the Nite Element Approximation of Reaction-diiusion Problems

Abstract

We consider the numerical approximation of singularly perturbed problems, and in particular reaction-di usion problems, by the h version of the nite element method. We present guidelines on how to design non-uniform meshes both in one and two dimensions, that are asymptotically optimal as the meshwidth tends to zero. We also present the results of numerical… (More)

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