A wideband fast multipole method for the Helmholtz equation in three dimensions
DOI10.1016/j.jcp.2005.12.001zbMath1093.65117OpenAlexW1963750172MaRDI QIDQ2495777
Zydrunas Gimbutas, Jingfang Huang, J. Frank Ethridge, William Y. Crutchfield, Junsheng Zhao, Norman Yarvin, Leslie F. Greengard, Vladimir Rokhlin, Hongwei Cheng
Publication date: 30 June 2006
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2005.12.001
performancenumerical examplesHelmholtz equationscattering problemsfast multipole methodhigh-frequency computationslow-frequency computations
Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (94)
Cites Work
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- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- A new version of the fast multipole method for screened Coulomb interactions in three dimensions
- Rapid solution of integral equations of scattering theory in two dimensions
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- A fast spherical filter with uniform resolution
- A fast adaptive multipole algorithm in three dimensions
- The fast multipole method: Numerical implementation
- Fast wavelet transforms and numerical algorithms I
- An Improved Fast Multipole Algorithm for Potential Fields
- An Improved Fast Multipole Algorithm for Potential Fields on the Line
- The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
- Nonlinear Optimization, Quadrature, and Interpolation
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- A fast algorithm for particle simulations
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