摘要
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.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 1061-1082 |
| 页数 | 22 |
| 期刊 | Communications in Computational Physics |
| 卷 | 30 |
| 期 | 4 |
| DOI | |
| 出版状态 | 已出版 - 2021 |
指纹
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Xi, Y., Ji, X., & Zhang, S. (2021). A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem. Communications in Computational Physics, 30(4), 1061-1082. https://doi.org/10.4208/CICP.OA-2020-0260