Error estimates for a mixed finite element method for the Maxwell's transmission eigenvalue problem
DOI10.1051/M2AN/2024033MaRDI QIDQ6593975
Ji-guang Sun, Jintao Cui, Chao Wang
Publication date: 27 August 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Cites Work
- Error estimates of the finite element method for interior transmission problems
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A mixed FEM for the quad-curl eigenvalue problem
- On the determination of Dirichlet or transmission eigenvalues from far field data
- Mixed finite elements in \(\mathbb{R}^3\)
- Convergence of a lowest-order finite element method for the transmission eigenvalue problem
- An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries
- A new error analysis of a mixed finite element method for the quad-curl problem
- The finite element methods for elliptic problems.
- Mixed methods for the Helmholtz transmission eigenvalues
- Finite element methods for eigenvalue problems
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- Algorithm 922
- Estimation of transmission eigenvalues and the index of refraction from Cauchy data
- Iterative Methods for Transmission Eigenvalues
- Finite elements in computational electromagnetism
- A Robust Numerical Algorithm for Computing Maxwell's Transmission Eigenvalue Problems
- Analytical and computational methods for transmission eigenvalues
- The inverse electromagnetic scattering problem for anisotropic media
- Transmission Eigenvalues
- A virtual element method for the transmission eigenvalue problem
- Finite Element Methods for Maxwell's Equations
- On the existence of transmission eigenvalues in an inhomogeneous medium
- A numerical method to compute interior transmission eigenvalues
- Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems
- Inverse Scattering Theory and Transmission Eigenvalues, Second Edition
- A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media
- Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes
This page was built for publication: Error estimates for a mixed finite element method for the Maxwell's transmission eigenvalue problem
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6593975)
