Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\)

DOI10.1016/j.jmaa.2010.05.006zbMath1277.76093OpenAlexW1969524319MaRDI QIDQ984772

Seungil Kim, Joseph E. Pasciak

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.006

zbMATH Keywords

spectral theoryHelmholtz equationperfectly matched layerCartesian PML

Mathematics Subject Classification ID

Related Items (19)

Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: algorithms and convergence analysis ⋮ Analysis of perfectly matched layer operators for acoustic scattering on manifolds with quasicylindrical ends ⋮ Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners ⋮ Numerical study of exterior acoustic problems using a novel finite element-least square point interpolation method with perfectly matched layer ⋮ Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media ⋮ An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems ⋮ An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation ⋮ Cartesian PML approximation to resonances in open systems in \(\mathbb{R}^2\) ⋮ Convergence analysis of the continuous and discrete non-overlapping double sweep domain decomposition method based on PMLs for the Helmholtz equation ⋮ Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides ⋮ Double Source Transfer Domain Decomposition Method For Helmholtz Problems ⋮ A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation ⋮ Convergence of the PML method for elastic wave scattering problems ⋮ The computation of resonances in open systems using a perfectly matched layer ⋮ Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems ⋮ 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 ⋮ Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides ⋮ High Order Transparent Boundary Conditions for the Helmholtz Equation

Uses Software

• deal.ii

Cites Work

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