Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Communications in Applied Numerical Methods
8 (1992), S. 819-825
ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
In this paper we explore the hierarchical structures of wavelets, and use them for solving the linear systems which arise in the discretization of the wavelet-Galerkin method for elliptic problems. It is proved that the condition number of the stiffness matrix with respect to the wavelet bases grows like O(log2 H/h) in two dimensions, and the condition number of the wavelet preconditioning system is bounded by O(log2 H/h) in d dimensions, instead of O(h-2) if the scaling function bases are used.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630081105
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