Premium
An auxiliary space preconditioner for linear elasticity based on the generalized finite element method
Author(s) -
Brannick James,
Cho Durkbin
Publication year - 2012
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.776
Subject(s) - preconditioner , mathematics , finite element method , linear elasticity , discretization , linear system , mathematical analysis , elasticity (physics) , space (punctuation) , mixed finite element method , poisson's equation , computer science , physics , thermodynamics , operating system
SUMMARY We construct and analyze a preconditioner of the linear elasticity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxiliary space preconditioner is based on two auxiliary spaces corresponding to discretizations of the scalar Poisson equation by linear finite elements and the generalized finite element method. Copyright © 2011 John Wiley & Sons, Ltd.