Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems
DOI10.1007/s42985-020-00049-5zbMath1476.65323OpenAlexW3143777425WikidataQ115370363 ScholiaQ115370363MaRDI QIDQ825576
Publication date: 17 December 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-020-00049-5
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An integral method for solving nonlinear eigenvalue problems
- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- Classes of linear operators. Vol. I
- The electric field integral equation on Lipschitz screens: definitions and numerical approximation
- Boundary element methods for Maxwell transmission problems in Lipschitz domains
- Perturbation theory for linear operators.
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Boundary element methods for Maxwell's equations on non-smooth domains
- Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility
- A numerical method for nonlinear eigenvalue problems using contour integrals
- Boundary element approximation for Maxwell's eigenvalue problem
- Convergence Analysis of a Galerkin Boundary Element Method for the Dirichlet Laplacian Eigenvalue Problem
- Combined boundary integral equations for acoustic scattering-resonance problems
- A projection method for nonlinear eigenvalue problems using contour integrals
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Approximative methods for nonlinear equations (two approaches to the convergence problem)
- Discrete Fredholm properties and convergence estimates for the electric field integral equation
- Approximation in eigenvalue problems for holomorphic fredholm operator functions I
- Approximation in eigenvalue problems for holomorphic fredholm operator functions Ii (Convergence Rate)
- Finite Element Methods for Maxwell's Equations
- Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems
- Coupled Finite And Boundary Element Methods for Fluid-Solid Interaction Eigenvalue Problems
- Solving Boundary Integral Problems with BEM++
- Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems
- The approximation of the Maxwell eigenvalue problem using a least-squares method
- Boundary Integral Equations for Calculating Complex Eigenvalues of Transmission Problems
- Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations
- Inverse acoustic and electromagnetic scattering theory
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems