A novel mixed spectral method and error estimates for Maxwell transmission eigenvalue problems
DOI10.1137/23M1544830zbMATH Open1541.65169MaRDI QIDQ6543099
Jing An, Zhimin Zhang, Waixiang Cao
Publication date: 24 May 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Scattering theory for PDEs (35P25) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Qualitative methods in inverse scattering theory. An introduction
- On the determination of Dirichlet or transmission eigenvalues from far field data
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries
- Augmented formulations for solving Maxwell equations
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- On the uniqueness of the shape of a penetrable, anisotropic obstacle
- An efficient direct parallel spectral-element solver for separable elliptic problems
- The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data
- A novel spectral method and error analysis for fourth-order equations in a spherical region
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- Spectral Methods
- The Linear Sampling Method in Inverse Electromagnetic Scattering
- Estimation of transmission eigenvalues and the index of refraction from Cauchy data
- The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
- An eigenvalue method using multiple frequency data for inverse scattering problems
- 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
- A UNIQUENESS THEOREM FOR AN INVERSE ELECTROMAGNETIC SCATTERING PROBLEM IN INHOMOGENEOUS ANISOTROPIC MEDIA
- On the existence of transmission eigenvalues in an inhomogeneous medium
- Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems
- The Theory of Vector Spherical Harmonics
This page was built for publication: A novel mixed spectral method and error estimates for Maxwell transmission eigenvalue problems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6543099)
