Author： Piquemal Anne-Sophie Liandrat Jacques
Publisher： Springer Publishing Company
ISSN： 1019-7168
Source： Advances in Computational Mathematics, Vol.22, Iss.2, 2005-02, pp. : 125-163
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
This paper is devoted to the construction of a new multilevel preconditioner for operators discretized using finite differences. It uses the basic ingredients of a multiscale construction of the inverse of a variable coefficient elliptic differential operator derived by Tchamitchian [19]. It can be implemented fast and can therefore be easily incorporated in finite difference solvers for elliptic PDEs. Theoretical results, as well as numerical tests and implementation technical details are presented.
Related content
Access to resources
Recommend
The geometry of finite difference discretizations of semilinear elliptic operators
Nonlinearity, Vol. 25, Iss. 4, 2012-04 ,pp. :
The Tau method and a new preconditioner
Journal of Computational and Applied Mathematics, Vol. 163, Iss. 2, 2004-02 ,pp. :
A New Finite-Difference Diffusion Scheme
By Hobson J.M. Wood N. Mason P.J.
Journal of Computational Physics, Vol. 125, Iss. 1, 1996-04 ,pp. :