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arXiv · 2003.08062

An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem

Fleurianne Bertrand·Daniele Boffi·Rui Ma
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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 $C^0$ 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.

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Fleurianne Bertrand, Daniele Boffi, Rui Ma. 2020-03-18. An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem. https://arxiv.org/abs/2003.08062

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