Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642050 | Journal of Computational and Applied Mathematics | 2008 | 13 Pages |
Abstract
In this paper, we modify the adaptive wavelet algorithm from Gantumur et al. [An optimal adaptive wavelet method without coarsening of the iterands, Technical Report 1325, Department of Mathematics, Utrecht University, March 2005, Math. Comp., to appear] so that it applies directly, i.e., without forming the normal equation, not only to self-adjoint elliptic operators but also to operators of the form L=A+BL=A+B, where A is self-adjoint elliptic and B is compact, assuming that the resulting operator equation is well posed. We show that the algorithm has optimal computational complexity.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tsogtgerel Gantumur,