An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem
Numerical Analysis
2020-03-19 v1 Numerical Analysis
Abstract
In this paper we study the approximation of eigenvalues arising from the mixed Hellinger--Reissner elasticity problem by using the simple finite element using partial relaxation of vertex continuity of stresses introduced recently by Jun Hu and Rui Ma. We prove that the method converge when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom.
Cite
@article{arxiv.2003.08062,
title = {An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem},
author = {Fleurianne Bertrand and Daniele Boffi and Rui Ma},
journal= {arXiv preprint arXiv:2003.08062},
year = {2020}
}