Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions

DOI10.1006/acha.1997.0221zbMath0890.65116OpenAlexW2084665774MaRDI QIDQ1379977

Vladimir Rokhlin

Publication date: 12 June 1998

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1997.0221

zbMATH Keywords

numerical examplesHelmholtz equationfast multipole methodstranslation operatorssparse diagonal forms

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain ⋮ An explicitly-sparse representation for oscillatory kernels with wave atom-like functions ⋮ Efficient field computation using Gaussian beams for both transmission and reception ⋮ Fast multipole boundary element approaches for acoustic attenuation prediction of reactive silencers ⋮ Fast evaluation of three-dimensional transient wave fields using diagonal translation operators ⋮ Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs

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