Speaker
Gonzalo Rivera
(Universidad de Los Lagos)
Description
In two dimensions, we propose and analyze an a posteriori error estimator for the acoustic
spectral problem based on the virtual element method in H(div; Ω). Introducing an auxiliary unknown, we use the fact that the primal formulation of the acoustic problem is equivalent to a mixed formulation, in order to prove a superconvergence result, necessary to despise high order terms. Under the virtual element approach, we prove that our local indicator is reliable and globally efficient in the L² -norm. We provide numerical results to assess the performance of the proposed error estimator.
Author
Gonzalo Rivera
(Universidad de Los Lagos)
