On the spectrum of an operator associated with least-squares finite elements for linear elasticity
Numerical Analysis
2022-02-22 v2 Numerical Analysis
Abstract
In this paper we provide some more details on the numerical analysis and we present some enlightening numerical results related to the spectrum of a finite element least-squares approximation of the linear elasticity formulation introduced recently. We show that, although the formulation is robust in the incompressible limit for the source problem, its spectrum is strongly dependent on the Lam\'e parameters and on the underlying mesh.
Keywords
Cite
@article{arxiv.2108.04133,
title = {On the spectrum of an operator associated with least-squares finite elements for linear elasticity},
author = {Linda Alzaben and Fleurianne Bertrand and Daniele Boffi},
journal= {arXiv preprint arXiv:2108.04133},
year = {2022}
}
Comments
21 pages, 14 figures