Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

DOI10.1137/090750603zbMath1222.65118OpenAlexW1981267739MaRDI QIDQ3021285

Publication date: 22 July 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090750603

zbMATH Keywords

Helmholtz equation exponential convergence uniaxial perfectly matched layer time harmonic scattering problem two-layered media

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (31)

Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems ⋮ A posteriori error analysis for the scattering by obstacles in a homogeneous chiral environment ⋮ Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: algorithms and convergence analysis ⋮ Wave Scattering in Layered Orthotropic Media I: A Stable PML and a High-Accuracy Boundary Integral Equation Method ⋮ Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases ⋮ Unnamed Item ⋮ A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains ⋮ Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners ⋮ PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium ⋮ Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium ⋮ Well-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surface ⋮ A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems ⋮ Adaptive perfectly matched layer method for multiple scattering problems ⋮ Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems ⋮ FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation ⋮ A Numerical Mode Matching Method for Wave Scattering in a Layered Medium with a Stratified Inhomogeneity ⋮ Convergence Analysis of the PML Method for Time-Domain Electromagnetic Scattering Problems ⋮ Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides ⋮ Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition ⋮ An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media ⋮ Double Source Transfer Domain Decomposition Method For Helmholtz Problems ⋮ Adaptive finite element method for the sound wave problems in two kinds of media ⋮ Convergence of the PML method for elastic wave scattering problems ⋮ An adaptive finite element method for the diffraction grating problem with PML and few-mode DtN truncations ⋮ Time-domain analysis of an acoustic-elastic interaction problem ⋮ A PML finite element method for electromagnetic scattering problems in a two-layer medium ⋮ Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface ⋮ Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides ⋮ A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain

This page was built for publication: Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media