Year: 2021
Author: Yingxia Xi, Xia Ji, Shuo Zhang
Communications in Computational Physics, Vol. 30 (2021), Iss. 4 : pp. 1061–1082
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2020-0260
Communications in Computational Physics, Vol. 30 (2021), Iss. 4 : pp. 1061–1082
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Elastic transmission eigenvalue problem nonconforming finite element method high accuracy