Optimal mesh design for the finite element approximation of reaction-diffusion problems
Date
2002Source
International Journal for Numerical Methods in EngineeringVolume
53Issue
4Pages
929-943Google Scholar check
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We consider the numerical approximation of singularly perturbed problems, and in particular reactiondiffusion problems, by the h version of the finite element method. We present guidelines on how to design non-uniform meshes both in one and two dimensions that are asymptotically optimal as the mesh-width 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. Copyright © 2001 John Wiley and Sons, Ltd.
DOI
10.1002/nme.318Collections
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