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arXiv · 1609.07154

A posteriori error estimates for a Virtual Elements Method for the Steklov eigenvalue problem

David Mora·Gonzalo Rivera·Rodolfo Rodríguez
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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.

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David Mora, Gonzalo Rivera, Rodolfo Rodríguez. 2016-09-22. A posteriori error estimates for a Virtual Elements Method for the Steklov eigenvalue problem. https://arxiv.org/abs/1609.07154

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