Mixed methods for the elastic transmission eigenvalue problem

Yidu Yang, Jiayu Han, Hai Bi, Hao Li and Yu Zhang

Applied Mathematics and Computation, 2020, vol. 374, issue C

Abstract: The elastic transmission eigenvalue problem is quadratic in the eigenvalue parameter, nonselfadjoint, and of fourth order. In this paper, we apply the Ciarlet–Raviart mixed method to this problem, give a mixed variational form, and establish two mixed methods using the classical Lagrange finite element and the spectral element, respectively. We deduce the error estimates of the discrete eigenpairs. Theoretical analysis and numerical experiments show that these two methods are simple and easy to implement, and can efficiently compute real and complex elastic transmission eigenvalues.

Keywords: Elastic transmission eigenvalues; Ciarlet–Raviart mixed method; Lagrange finite element; Spectral element; Error estimates (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300503

DOI: 10.1016/j.amc.2020.125081

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