@Article{IJNAM-16-5,
author = {Tomás, P., Barrios and M., Edwin, Behrens and María, González},
title = {A Posteriori Error Analysis of an Augmented Dual-Mixed Method in Linear Elasticity with Mixed Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {5},
pages = {804--824},
abstract = {<p style="text-align: justify;">We consider an augmented mixed finite element method for the equations of plane
linear elasticity with mixed boundary conditions. The method provides simultaneous approximations of the displacements, the stress tensor and the rotation. We develop an a posteriori error
analysis based on the Ritz projection of the error and the use of an appropriate auxiliary function, and 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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-13255},
url = {https://global-sci.com/article/83096/a-posteriori-error-analysis-of-an-augmented-dual-mixed-method-in-linear-elasticity-with-mixed-boundary-conditions}
}