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A FAST DIRECTIONAL ALGORITHM FOR HIGH FREQUENCY ACOUSTIC SCATTERING IN TWO DIMENSIONS
N-body problems Helmholtz equation oscillatory kernels fast multipole methods multidirectional computation multiscale methods
2015/7/14
This paper is concerned with fast solution of high frequency acoustic scattering problems in two dimensions. We introduce a directional multiscale algorithm for the N-body problem of the two dimension...
Fast directional algorithms for the Helmholtz kernel
N-body problems Scattering problems Helmholtz equation Oscillatory kernels Fast multipole methods Separated representations Random sampling Operator compression Multidirectional computation Multiscale methods
2015/7/14
This paper presents a new directional multilevel algorithm for solving N-body or N-point problems with highly oscillatory kernels. We address the problem by first proving that the interaction between ...
A fast directional algorithm for high-frequency electromagnetic scattering
Electromagnetic scattering Boundary integral equations Fast algorithms Fast multipole methods Sparse Fourier transforms
2015/7/14
This paper is concerned with the fast solution of high-frequency electromagnetic scattering problems using the boundary integral formulation. We extend the O(NlogN) directional multilevel algorithm pr...
A PARALLEL DIRECTIONAL FAST MULTIPOLE METHOD
parallel fast multipole methods N-body problems scattering problems Helmholtz equation oscillatory kernels directional multilevel
2015/7/14
This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This cla...
FAST DIRECTIONAL COMPUTATION OF HIGH FREQUENCY BOUNDARY INTEGRALS VIA LOCAL FFTs
boundary integral method scattering high frequency waves directional algorithm low-rank approximation Chebyshev interpolation fast Fourier transforms
2015/7/14
The boundary integral method is an efficient approach for solving time-harmonic acoustic obstacle scattering problems. The main computational task is the evaluation of an oscillatory boundary integral...