paper

Auxiliary space preconditioners for linear elasticity based on generalized finite element methods

arXiv:1003.2475

Abstract

We construct and analyze a preconditioner of the linear elastiity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxiliary space preconditioner is based on discretization of a scalar elliptic equation with Generalized Finite Element Method.

14 pages, 1 figure, submitted NLAA March 8, 2010