A. Rieder et X. Zhou, ON THE ROBUSTNESS OF THE DAMPED V-CYCLE OF THE WAVELET FREQUENCY DECOMPOSITION MULTIGRID METHOD, Computing, 53(2), 1994, pp. 155-171
Citations number
18
Categorie Soggetti
Computer Sciences","Computer Science Theory & Methods
The damped V-cycle of the wavelet variation of the ''Frequency decompo
sition multigrid method'' of Hackbusch [Numer. Math. 56, pp. 229-245 (
1989)] is considered. It is shown that the convergence speed under suf
ficient damping is not affected by the presence of anisotropy but stil
l depends on the number of levels. Our analysis is based on properties
of wavelet packets which are supplied and proved. Numerical approxima
tions to the speed of convergence illustrate the theoretical results.