An optimal adaptive wavelet method for nonsymmetric and indefinite elliptic problems |
| |
Authors: | Tsogtgerel Gantumur |
| |
Institution: | Department of Mathematics, Utrecht University, P.O. Box 80.010, NL-3508 TA Utrecht, The Netherlands |
| |
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+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. |
| |
Keywords: | 41A25 65J10 65N30 65N38 65T60 |
本文献已被 ScienceDirect 等数据库收录! |
|