@inproceedings{98e1448d55e24b78837eb7bf5e6c933c,
title = "Fast convolution quadrature for the wave equation in 3D",
abstract = "In this work we develop a fast convolution quadrature algorithm for solving the time domain boundary integral formulation of three-dimensional wave equation. Our approach is based on the following two components: reuse of the near-field, made possible by the fact that only a few convolution weights have non-zero near-field, and the use of data-sparse approximation techniques (namely, ℋ-matrices and fast multipole method). We demonstrate this property of convolution weights with numerical experiments and present the recursive algorithm that exploits this feature. The numerical results indicate high efficiency of the proposed method.",
keywords = "Convolution quadrature, Fast multipole method, Time-domain boundary integral equations, Wave equation, ℋ-matrices",
author = "L. Banjai and M. Kachanovska",
year = "2012",
month = dec,
day = "1",
language = "English",
isbn = "9783950353709",
series = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
pages = "1397--1409",
booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",
}