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Anisotropic mesh refinement for problems with internal and boundary layers

✍ Scribed by T. Skalický; H.-G. Roos

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
277 KB
Volume
46
Category
Article
ISSN
0029-5981

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✦ Synopsis

The character of convection-dominated, singularly perturbed boundary value problems requires their special numerical treatment in order to guarantee stability and resolve existing layers with acceptable accuracy. In addition to discretization methods particularly developed for this aim, recently more and more attention has been directed towards adapted triangulations of the computational domain. In this paper, an adaptive strategy based on an anisotropic reÿnement is developed for ÿnite element methods. Starting from some a priori information about the location of layers, the so-called hybrid meshes are constructed. By these meshes, the exibility of unstructured meshes, good approximation properties in layers, and relatively simple rules for a posteriori anisotropic reÿnement are combined with each other. The e ciency of this procedure is demonstrated by selected numerical examples.

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