Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642370 | Journal of Computational and Applied Mathematics | 2008 | 23 Pages |
Abstract
In this work we present an adaptive strategy (based on an a posteriori error estimator) for a stabilized finite element method for the Stokes problem, with and without a reaction term. The hierarchical type estimator is based on the solution of local problems posed on appropriate finite dimensional spaces of bubble-like functions. An equivalence result between the norm of the finite element error and the estimator is given, where the dependence of the constants on the physics of the problem is explicited. Several numerical results confirming both the theoretical results and the good performance of the estimator are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rodolfo Araya, Gabriel R. Barrenechea, Abner Poza,