Abstract
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.
Original language | English (US) |
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Pages (from-to) | 819-825 |
Number of pages | 7 |
Journal | Communications in Applied Numerical Methods |
Volume | 8 |
Issue number | 11 |
DOIs | |
State | Published - 1992 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Engineering(all)