Optimal Mesh Design for the Nite Element Approximation of Reaction-diiusion Problems
نویسنده
چکیده
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 computations showing that robust, optimal rates can be achieved even in the pre-asymptotic range.
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تاریخ انتشار 1999