Paper Info
Title
Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs.
Abstract
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 at each discretization point of the boundary. This paper presents a new fast algorithm for this task in two dimensions. This algorithm is built on top of directional low-rank approximations of the scattering kernel and uses oscillatory Chebyshev interpolation and local FFTs to achieve quasi-linear complexity. The algorithm is simple, fast, and kernel-independent. Numerical results are provided to demonstrate the effectiveness of the proposed algorithm.
Year
DOI
Venue
2015
10.1137/140985123
MULTISCALE MODELING & SIMULATION
Keywords
Field
DocType
boundary integral method,scattering,high frequency waves,directional algorithm,low-rank approximation,Chebyshev interpolation,fast Fourier transforms
Kernel (linear algebra),Discretization,Obstacle,Mathematical optimization,Mathematical analysis,Interpolation,Approximations of π,Chebyshev filter,Scattering,Mathematics,Computation
Journal
Volume
Issue
ISSN
13
1
1540-3459
Citations 
PageRank 
References 
3
0.42
7
Authors
1
Name
Order
Citations
PageRank
Lexing Ying11273103.92