2006•Research Repository (Delft University of Technology)Open access

Multilevel Iterative Methods and Deflation

Radim Blaheta

Abstract

In this paper, we show that the deflation method can be viewed as a possible implementation of the CG method with multilevel preconditioner. Further, we demonstrate efficiency and robustness of different implementations of multilevel preconditioners with different "coarse grid" spaces by solving a simple model problem.

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Available abstract

Key concepts: Preconditioner, Deflation, Robustness (evolution), Computer science, Implementation, Grid, Simple (philosophy), Iterative method