We consider the linear elasticity problems and compare the approximations obtained by the Least-Squares finite element method with the approximations obtained by the standard conforming finite element method and the mixed finite element method. The main result is that the H1-conforming displacement approximations (least-squares finite element and standard finite element) as well as the H(div)-conforming stress approximations are higher-order pertubations of each other. This leads to refined a priori bounds and superconvergence results. Numerical experiments illustrate the theory.
Published on 11/03/21
Submitted on 11/03/21
Volume 800 - Uncertainty Quantification, Reliability and Error Estimation, 2021
DOI: 10.23967/wccm-eccomas.2020.137
Licence: CC BY-NC-SA license
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