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

Fleurianne Bertrand; Daniele Boffi; Rui Ma

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

Fleurianne Bertrand, Daniele Boffi, Rui Ma

Research output: Working paper

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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.

Original language	English
Publisher	ArXiv
Publication status	Published - 18 Mar 2020
Externally published	Yes

Keywords

math.NA
cs.NA

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Bertrand2020adaptiveFinal published version, 199 KB

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