Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471313 | Computers & Mathematics with Applications | 2014 | 21 Pages |
Abstract
In this work we introduce an a posteriori error estimator, of the residual type, for the unsteady advection–diffusion–reaction problem. For the discretization in time we use an implicit Euler scheme and a continuous, piecewise linear triangular finite elements for the space together with a stabilized scheme. We prove that the approximation error is bounded, by above and below, by the error estimator. Using that, an adaptive algorithm is proposed, analyzed and tested numerically to prove the efficiency of our approach.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Rodolfo Araya, Pablo Venegas,