Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643144 | Journal of Computational and Applied Mathematics | 2006 | 19 Pages |
Abstract
In this paper, we propose an anisotropic adaptive refinement algorithm based on the finite element methods for the numerical solution of partial differential equations. In 2-D, for a given triangular grid and finite element approximating space V, we obtain information on location and direction of refinement by estimating the reduction of the error if a single degree of freedom is added to V. For our model problem the algorithm fits highly stretched triangles along an interior layer, reducing the number of degrees of freedom that a standard h-type isotropic refinement algorithm would use.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Juan C. Aguilar, Jonathan B. Goodman,