We consider an augmented mixed finite element method applied to the linear elasticity problem with non-homogeneous Dirichlet boundary conditions and derive an a posteriori error estimator that is simpler and easier to implement than the one available in the literature. The new a posteriori error estimator is reliable and locally efficient in interior triangles; in the remaining elements, it satisfies a quasiefficiency bound.We provide some numerical results that illustrate the performance of the corresponding adaptive algorithm.
CITATION STYLE
Barrios, T. P., Behrens, E. M., & González, M. (2015). New a posteriori error estimator for an augmented mixed FEM in linear elasticity. Lecture Notes in Computational Science and Engineering, 103, 263–271. https://doi.org/10.1007/978-3-319-10705-9_26
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