Journal article
An adaptive multilevel wavelet collocation method for elliptic problems
Abstract
An adaptive multilevel wavelet collocation method for solving multi-dimensional elliptic problems with localized structures is described. The method is based on multi-dimensional second generation wavelets, and is an extension of the dynamically adaptive second generation wavelet collocation method for evolution problems [Int. J. Comp. Fluid Dyn. 17 (2003) 151]. Wavelet decomposition is used for grid adaptation and interpolation, while a …
Authors
Vasilyev OV; Kevlahan NK-R
Journal
Journal of Computational Physics, Vol. 206, No. 2, pp. 412–431
Publisher
Elsevier
Publication Date
July 2005
DOI
10.1016/j.jcp.2004.12.013
ISSN
0021-9991