An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem
Embargo End Date2022-02-02
Permanent link to this recordhttp://hdl.handle.net/10754/665534
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AbstractAbstract In this paper, we study the approximation of eigenvalues arising from the mixed Hellinger–Reissner elasticity problem by using a simple finite element introduced recently by one of the authors. We prove that the method converges when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom. A postprocessing technique originally proposed in a different context is discussed and tested numerically.
CitationBertrand, F., Boffi, D., & Ma, R. (2021). An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem. Computational Methods in Applied Mathematics, 0(0). doi:10.1515/cmam-2020-0034
PublisherWalter de Gruyter GmbH