Affiliation:
1. Département de recherche fondamentale sur la matière condensée, SP2M/L_Sim, CEA-Grenoble, 38054 Grenoble cedex 9, France
Abstract
It is shown how various ideas that are well established for the solution of Poisson's equation using plane wave and multigrid methods, can be combined with wavelet concepts. The combination of wavelet concepts and multigrid techniques turns out to be particularly fruitful. We propose a modified multigrid V cycle scheme that is not only much simpler, but also more efficient than the standard V cycle. Whereas in the traditional V cycle the residue is passed to the coarser grid levels, this new scheme does not require the calculation of a residue. Instead it works with copies of the charge density on the different grid levels that were obtained from the underlying charge density on the finest grid by wavelet transformations. This scheme is not limited to the pure wavelet setting, where it is faster than the preconditioned conjugate gradient method, but equally well applicable for finite difference discretizations.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Theory and Mathematics,Physical and Theoretical Chemistry,Computer Science Applications
Cited by
13 articles.
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