Domain Decomposition with Nonmatching Grids : Augmented Lagrangian Approach

Content Provider	Semantic Scholar
Author	Tallec, Patrick Le Sassi, Taoufik
Copyright Year	2010
Abstract	We propose and study a domain decomposition method which treats the constraint of displacement continuity at the interfaces by augmented Lagrangian techniques and solves the resulting problem by a parallel version of the Peaceman-Rachford algorithm. We prove that this algorithm is equivalent to the fictitious overlapping method introduced by P.L. Lions. We also prove its linear convergence independently of the discretization step h , even if the finite element grids do not match at the interfaces. A new preconditioner using fictitious overlapping and well adapted to three-dimensional elasticity problems is also introduced and is validated on several numerical examples.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.ams.org/journals/mcom/1995-64-212/S0025-5718-1995-1308457-5/S0025-5718-1995-1308457-5.pdf
Language	English
Access Restriction	Open
Subject Keyword	Algorithm Augmented Lagrangian method Convergence (action) Discretization Displacement mapping Domain decomposition methods Elasticity (data store) Finite element method Numerical analysis Panthera leo Preconditioner Psychologic Displacement Rate of convergence Scott continuity
Content Type	Text
Resource Type	Article