Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media

DOI10.1016/j.jcp.2019.109008zbMath1453.78013arXiv1902.05132OpenAlexW2911975128WikidataQ127123515 ScholiaQ127123515MaRDI QIDQ2222693

Wei Cai, Bo Wang, Duan Chen, Wenzhong Zhang, Bo Zhang, Min-Hyung Cho

Publication date: 27 January 2021

Published in: SIAM Journal on Scientific Computing, Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05132

zbMATH Keywords

layered mediaHelmholtz equationTaylor expansionfast multipole methodmultipole expansionslocal expansionsequivalent polarization sources

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Green's functions for elliptic equations (35J08) Multipole methods applied to problems in optics and electromagnetic theory (78M16)

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Uses Software

• DLMF
• DASHMM

Cites Work

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