A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem
Numerical Analysis
2022-12-27 v1 Numerical Analysis
Abstract
In this paper, a discontinuous Galerkin finite element method of Nitsche's version for the Steklov eigenvalue problem in linear elasticity is presented. The a priori error estimates are analyzed under a low regularity condition, and the robustness with respect to nearly incompressible materials (locking-free) is proven. Furthermore, some numerical experiments are reported to show the effectiveness and robustness of the proposed method.
Cite
@article{arxiv.2212.12916,
title = {A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem},
author = {Yanjun Li and Hai Bi},
journal= {arXiv preprint arXiv:2212.12916},
year = {2022}
}
Comments
25 pages, 6 figures