Non-conforming finite element methods for transmission eigenvalue problem
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Publication:2308560
DOI10.1016/j.cma.2016.04.021zbMath1436.74034arXiv1601.01068OpenAlexW2231751449MaRDI QIDQ2308560
Publication date: 3 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01068
Wave scattering in solid mechanics (74J20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (24)
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems ⋮ A spectral projection method for transmission eigenvalues ⋮ A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem ⋮ Finite element/holomorphic operator function method for the transmission eigenvalue problem ⋮ A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains ⋮ On trajectories of complex-valued interior transmission eigenvalues ⋮ Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation ⋮ Nonconforming virtual element discretization for the transmission eigenvalue problem ⋮ An \(H^m\)-conforming spectral element method on multi-dimensional domain and its application to transmission eigenvalues ⋮ Computation of interior elastic transmission eigenvalues using a conforming finite element and the secant method ⋮ A virtual element method for the transmission eigenvalue problem ⋮ A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues ⋮ The method of fundamental solutions for computing acoustic interior transmission eigenvalues ⋮ Local and parallel finite element algorithms for the transmission eigenvalue problem ⋮ A \(C^1-C^0\) conforming virtual element discretization for the transmission eigenvalue problem ⋮ Nonconforming elements of class \(L^2\) for Helmholtz transmission eigenvalue problems ⋮ A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem ⋮ An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem ⋮ Mixed methods for the elastic transmission eigenvalue problem ⋮ A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem ⋮ Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes ⋮ Elastic transmission eigenvalues and their computation via the method of fundamental solutions ⋮ A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type ⋮ Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains
Uses Software
Cites Work
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