Mesh Refinement Strategies for Solving Singularly Perturbed Reaction-Diffusion Problems
نویسنده
چکیده
we consider the numerical approximation of a singularly perturbed reaction-diffusion problem over a square. Two different. approaches are compared namely: adaptive isotropic mesh refinement and anisotropic mesh refinement. Thus, we compare the h-refinement and the Shishkin mesh approaches numerically with PLTMG software [l]. It is shown how isotropic elements lead to over-refinement. and how anisotropic mesh refinement is much more efficient in thin boundary layers. @ 2001 Elsevier Science Ltd. All rights reserved. Keywords-singularly perturbed reaction-diffusion, Mesh refinement,, Shishkin mesh, PLTMG software.
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تاریخ انتشار 2001