Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency

DOI10.1137/21m1443716zbMath1522.35164arXiv2105.07737MaRDI QIDQ6135327

David Lafontaine, Jeffrey Galkowski, Euan A. Spence

Publication date: 24 August 2023

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

Full work available at URL: https://arxiv.org/abs/2105.07737

zbMATH Keywords

Helmholtz scattering problemsradial perfectly matched layer

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Scattering theory of linear operators (47A40)

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At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition

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