The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media
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Publication:6062198
DOI10.1016/j.camwa.2023.09.019arXiv2212.11604OpenAlexW4387276498MaRDI QIDQ6062198
Publication date: 30 November 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.11604
Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
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- A spectral projection method for transmission eigenvalues
- A multi-level method for transmission eigenvalues of anisotropic media
- Error estimates of the finite element method for interior transmission problems
- On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
- An adaptive homotopy approach for non-selfadjoint eigenvalue problems
- \(T\)-coercivity: application to the discretization of Helmholtz-like problems
- A Legendre-Galerkin spectral approximation and estimation of the index of refraction for transmission eigenvalues
- A posteriori error estimators for convection-diffusion eigenvalue problems
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- A posteriori error estimators for convection-diffusion equations
- Inverse acoustic and electromagnetic scattering theory.
- Convergence of a lowest-order finite element method for the transmission eigenvalue problem
- A multilevel correction method for interior transmission eigenvalue problem
- An \(H^m\)-conforming spectral element method on multi-dimensional domain and its application to transmission eigenvalues
- An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem
- \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
- A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem
- \(C^0\)IP methods for the transmission eigenvalue problem
- Mixed Methods for the Helmholtz Transmission Eigenvalues
- Inverse Scattering Theory and Transmission Eigenvalues
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- Finite element approximation of eigenvalue problems
- C 0 Interior Penalty Methods
- An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues
- Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Transmission eigenvalues and the nondestructive testing of dielectrics
- Analytical and computational methods for transmission eigenvalues
- Error Estimates for Adaptive Finite Element Computations
- Interior Transmission Eigenvalues for Anisotropic Media
- Computing interior transmission eigenvalues for homogeneous and anisotropic media
- A virtual element method for the transmission eigenvalue problem
- The method of fundamental solutions for computing acoustic interior transmission eigenvalues
- A $C^0$ linear finite element method for two fourth-order eigenvalue problems
- Convergence of Adaptive Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Finite element/holomorphic operator function method for the transmission eigenvalue problem
- Benchmark Computation of Eigenvalues with Large Defect for Non-Self-adjoint Elliptic Differential Operators
- A posteriori error control for finite element approximations of elliptic eigenvalue problems
