A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem

Yingxia Xi, Xia Ji*, Shuo Zhang

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

4 引用 (Scopus)

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
30
4
DOI
出版状态已出版 - 2021

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