Inexact Solvers for Saddle-Point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 156–173
Abstract
In this paper, we propose a domain decomposition method with Lagrange multipliers for three-dimensional linear elasticity, based on geometrically non-conforming subdomain partitions. Some appropriate multiplier spaces are presented to deal with the geometrically non-conforming partitions, resulting in a discrete saddle-point system. An augmented technique is introduced, such that the resulting new saddle-point system can be solved by the existing iterative methods. Two simple inexact preconditioners are constructed for the saddle-point system, one for the displacement variable, and the other for the Schur complement associated with the multiplier variable. It is shown that the global preconditioned system has a nearly optimal condition number, which is independent of the large variations of the material parameters across the local interfaces.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-679
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 156–173
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Domain decomposition geometrically non-conforming Lagrange multiplier saddle-point system preconditioners condition number.