@Article{IJNAM-8-1,
author = {},
title = {Inexact Solvers for Saddle-Point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {1},
pages = {156--173},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2011-IJNAM-679},
url = {https://global-sci.com/article/83545/inexact-solvers-for-saddle-point-system-arising-from-domain-decomposition-of-linear-elasticity-problems-in-three-dimensions}
}