A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem
Numerical Analysis
2021-01-27 v1 Numerical Analysis
Abstract
The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials and obtains optimal convergence rate. Compared with other low-degree and nonconforming finite element schemes, the scheme inherits the continuous bilinear form which does not need extra stabilizations and is thus simple to implement.
Cite
@article{arxiv.2101.10783,
title = {A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem},
author = {Yingxia Xi and Xia Ji and Shuo Zhang},
journal= {arXiv preprint arXiv:2101.10783},
year = {2021}
}
Comments
10 figures. arXiv admin note: text overlap with arXiv:1910.00898