Computation of interior elastic transmission eigenvalues using a conforming finite element and the secant method

DOI10.1016/j.rinam.2019.100083zbMath1452.35127OpenAlexW2990541276WikidataQ126652361 ScholiaQ126652361MaRDI QIDQ2211081

Peijun Li, Xia Ji, Jiguang Sun

Publication date: 10 November 2020

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2019.100083

zbMATH Keywords

inverse scattering\(H^2\)-conforming Argyris elementelastic transmission eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Scattering theory for PDEs (35P25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (12)

Local and Parallel Finite Element Schemes for the Elastic Transmission Eigenvalue Problem ⋮ A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves ⋮ Multigrid methods for the modified elastic transmission eigenvalue problem ⋮ An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities ⋮ Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting) ⋮ A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem ⋮ $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem ⋮ A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem ⋮ Mixed methods for the elastic transmission eigenvalue problem ⋮ An adaptive finite element method for the elastic transmission eigenvalue problem ⋮ The finite element method for the elastic transmission eigenvalue problem with different elastic tensors ⋮ Fast and accurate calculations of fourth-order non-self-adjoint Sturm-Liouville eigenvalues for problems in physics and engineering

Uses Software

• Algorithm 922

Cites Work

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