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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 METHOD FOR HIGH-FREQUENCY ACOUSTIC SCATTERING FROM RANDOM SCATTERERS
acoustic scattering random domains uncertainty quantification boundary integral equations fast algorithms quasi–Monte Carlo methods
2015/7/14
This paper is concerned with the uncertainty quantification of high-frequency acoustic scattering from objects with random shape in two-dimensional space. Several new methods are introduced to efficie...
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...
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...