TY - JOUR
T1 - An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem
AU - Bertrand, Fleurianne
AU - Boffi, Daniele
AU - Ma, Rui
N1 - KAUST Repository Item: Exported on 2021-02-15
PY - 2021/2/2
Y1 - 2021/2/2
N2 - Abstract
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.
AB - Abstract
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.
UR - http://hdl.handle.net/10754/665534
UR - https://www.degruyter.com/document/doi/10.1515/cmam-2020-0034/html
U2 - 10.1515/cmam-2020-0034
DO - 10.1515/cmam-2020-0034
M3 - Article
SN - 1609-9389
JO - Computational Methods in Applied Mathematics
JF - Computational Methods in Applied Mathematics
ER -