Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645150 | Applied Numerical Mathematics | 2014 | 20 Pages |
Abstract
We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In the case of homogeneous Dirichlet boundary conditions, the new a posteriori error estimator is reliable and locally efficient, whereas for non-homogeneous Dirichlet boundary conditions, we derive an a posteriori error estimator that is reliable and satisfies a quasi-efficiency bound. Numerical experiments illustrate the performance of the corresponding adaptive algorithms and support the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Tomás P. Barrios, Edwin M. Behrens, María González,