A weak form of the conjugate gradient FFT method for two-dimensional elastodynamics

Authors
Pelekanos, G Kleinman, RE van den Berg, PM
Citation
G. Pelekanos et al., A weak form of the conjugate gradient FFT method for two-dimensional elastodynamics, J COMPUT PH, 160(2), 2000, pp. 597-611
Citations number
25
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
160
Issue
2
Year of publication
2000
Pages
597 - 611
Database
ISI
SICI code
0021-9991(20000520)160:2<597:AWFOTC>2.0.ZU;2-A
Abstract
The problem of two-dimensional scattering of elastic waves by an elastic in clusion can be formulated in terms of a domain integral equation, in which the grad-div operator acts on a vector potential. The vector potential is t he spatial convolution of a Green's Function with the product of the densit y and the displacement over the domain of interest, A weak form of the inte gral equation for the unknown displacement is obtained by testing it with r ooftop functions. This method shows excellent numerical performance. (C) 20 00 Academic Press.