A low frequency stable plane wave addition theorem

DOI10.1016/j.jcp.2008.10.022zbMath1162.65059OpenAlexW2019891429MaRDI QIDQ1005490

Ignace Bogaert, Femke Olyslager

Publication date: 9 March 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.10.022

zbMATH Keywords

stabilityfast multipole methodtranslation operatorlow frequency breakdownpseudospherical harmonics

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

A wideband fast multipole method for the Helmholtz kernel: theoretical developments ⋮ The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects

Cites Work

• Unnamed Item
• Efficient fast multipole method for low-frequency scattering
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm
• A fast multipole method for Maxwell equations stable at all frequencies
• A Nondirective Plane Wave MLFMA Stable at Low Frequencies
• An Asynchronous Parallel MLFMA for Scattering at Multiple Dielectric Objects

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