Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500456 | Computer Methods in Applied Mechanics and Engineering | 2005 | 18 Pages |
Abstract
We introduce a hierarchic a posteriori error estimate for singularly perturbed reaction–diffusion problems. The estimator is based on a Petrov–Galerkin method in which the trial space is enriched with nonpolynomial functions or multiscale functions. We study the equivalence between the a posteriori estimate and the exact error in the energy norm. Moreover, we prove a relationship between the hierarchic estimator and an explicit residual estimator. The approach provides accurate estimates for the boundary layer regions which is confirmed by numerical experiments.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Rodolfo Araya, Frédéric Valentin,