Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave

DOI10.1137/19M1268033zbMath1459.76119arXiv1809.07716WikidataQ115525569 ScholiaQ115525569MaRDI QIDQ5110551

Wenzhong Zhang, Bo Wang, Wei Cai

Publication date: 20 May 2020

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

Full work available at URL: https://arxiv.org/abs/1809.07716

zbMATH Keywords

Helmholtz equationGreen functionfast multipole methodequivalent polarization sourceCagniard-De Hoop transform

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Related Items (4)

Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media ⋮ A Matrix Basis Formulation for the Dyadic Green’s Functions of Maxwell’s Equations in Layered Media ⋮ Explicit error bound of the fast multipole method for scattering problems in 2-D ⋮ Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media

Cites Work

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• A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\)
• Rapid solution of integral equations of scattering theory in two dimensions
• Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• A Remark on Stirling's Formula
• Preface

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