Error analysis for the finite element approximation of transmission eigenvalues
From MaRDI portal
Publication:481892
DOI10.1515/cmam-2014-0021zbMath1304.65239OpenAlexW2064131862MaRDI QIDQ481892
Fioralba Cakoni, Jiguang Sun, Peter B. Monk
Publication date: 18 December 2014
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2014-0021
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) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (41)
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems ⋮ Convergence of a lowest-order finite element method for the transmission eigenvalue problem ⋮ Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮ \(C^0\)IP methods for the transmission eigenvalue problem ⋮ Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues ⋮ A spectral projection method for transmission eigenvalues ⋮ An adaptive finite element method for the transmission eigenvalue problem ⋮ A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem ⋮ Recursive integral method for transmission eigenvalues ⋮ Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation ⋮ A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media ⋮ Finite element/holomorphic operator function method for the transmission eigenvalue problem ⋮ A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves ⋮ A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains ⋮ An efficient spectral-Galerkin approximation based on dimension reduction scheme for transmission eigenvalues in polar geometries ⋮ Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation ⋮ Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory ⋮ Application of machine learning regression models to inverse eigenvalue problems ⋮ 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 ⋮ Simulating backward wave propagation in metamaterial with radial basis functions ⋮ 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 ⋮ A new multigrid finite element method for the transmission eigenvalue problems ⋮ 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 Finite Element Method for the Transmission Eigenvalue Problem ⋮ 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 ⋮ Nonconforming elements of class \(L^2\) for Helmholtz transmission eigenvalue problems ⋮ Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem ⋮ A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem ⋮ The Asymptotic of Transmission Eigenvalues for a Domain with a Thin Coating ⋮ An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem ⋮ A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem ⋮ Mixed Methods for the Helmholtz Transmission Eigenvalues ⋮ Non-conforming finite element methods for transmission eigenvalue problem ⋮ A C\(^{0}\)IP method of transmission eigenvalues for elastic waves ⋮ Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes
Uses Software
This page was built for publication: Error analysis for the finite element approximation of transmission eigenvalues
