A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions
Barrios Faúndez, Tomás
PublisherInternational Journal of Numerical Analysis and Modeling
DescriptionArtículo de publicación Web of Science
MetadataShow full item record
We consider the augmented mixed finite element method introduced in  for the equations of plane linear elasticity with mixed boundary conditions. We develop an a posteriori error analysis based on the Ritz projection of the error and obtain an a posteriori error estimator that is reliable and efficient, but that involves a non-local term. Then, introducing an auxiliary function, we derive fully local reliable a posteriori error estimates that are locally efficient up to the elements that touch the Neumann boundary. We provide numerical experiments that illustrate the performance of the corresponding adaptive algorithm and support its use in practice.