Convergence of infinite element methods for scalar waveguide problems

DOI10.1007/s10543-014-0525-xzbMath1311.78017arXiv1409.6450OpenAlexW3100588863MaRDI QIDQ2264053

Thorsten Hohage, Lothar Nannen

Publication date: 20 March 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6450

zbMATH Keywords

transparent boundary conditionswaveguideperfectly matched layerHardy space infinite elements

Mathematics Subject Classification ID

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) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (12)

Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs ⋮ Complex-scaled infinite elements for resonance problems in heterogeneous open systems ⋮ Radial Complex Scaling for Anisotropic Scalar Resonance Problems ⋮ Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions ⋮ Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem ⋮ Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems ⋮ Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities ⋮ FEM-BEM mortar coupling for the Helmholtz problem in three dimensions ⋮ Two scale Hardy space infinite elements for scalar waveguide problems ⋮ Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility ⋮ Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems ⋮ Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems

Uses Software

• PARDISO
• Netgen

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions
• Time harmonic wave diffraction problems in materials with sign-shifting coefficients
• Classes of linear operators. Vol. I
• Elliptic problems in domains with piecewise smooth boundaries
• Linear integral equations.
• A perfectly matched layer for the absorption of electromagnetic waves
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• On the existence and convergence of the solution of PML equations
• Introduction to spectral theory. With applications to Schrödinger operators
• Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities
• Convergence Analysis of a Galerkin Boundary Element Method for the Dirichlet Laplacian Eigenvalue Problem
• The computation of resonances in open systems using a perfectly matched layer
• Perfectly Matched Layers for Diffraction Gratings in Inhomogeneous Media. Stability and Error Estimates
• Trapped modes and Fano resonances in two-dimensional acoustical duct–cavity systems
• Fano resonances in acoustics
• A simple method of calculating eigenvalues and resonances in domains with infinite regular ends
• Hardy Space Infinite Elements for Scattering and Resonance Problems
• An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
• Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
• Perfectly Matched Layers for the Convected Helmholtz Equation
• Approximation in eigenvalue problems for holomorphic fredholm operator functions I
• Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems

This page was built for publication: Convergence of infinite element methods for scalar waveguide problems