Exponential Convergence of Perfectly Matched Layers for Scattering Problems with Periodic Surfaces

DOI10.1137/21M1439043zbMath1490.35117arXiv2107.02032OpenAlexW4226105242WikidataQ115525503 ScholiaQ115525503MaRDI QIDQ5072581

Ruming Zhang

Publication date: 29 April 2022

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

Full work available at URL: https://arxiv.org/abs/2107.02032

zbMATH Keywords

Helmholtz equationexponential convergencescattering problemsCauchy integral theoremperiodic surfacesPML method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems

Cites Work

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