A posteriori error estimates for a Virtual Elements Method for the Steklov eigenvalue problem
Numerical Analysis
2016-09-26 v1
Abstract
The paper deals with the a posteriori error analysis of a virtual element method for the Steklov eigenvalue problem. The virtual element method has the advantage of using general polygonal meshes, which allows implementing very efficiently mesh refinement strategies. We introduce a residual type a posteriori error estimator and prove its reliability and efficiency. We use the corresponding error estimator to drive an adaptive scheme. Finally, we report the results of a couple of numerical tests, that allow us to assess the performance of this approach.
Cite
@article{arxiv.1609.07154,
title = {A posteriori error estimates for a Virtual Elements Method for the Steklov eigenvalue problem},
author = {David Mora and Gonzalo Rivera and Rodolfo Rodríguez},
journal= {arXiv preprint arXiv:1609.07154},
year = {2016}
}