Article ID Journal Published Year Pages File Type
4642050 Journal of Computational and Applied Mathematics 2008 13 Pages PDF
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
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