Analysis of substructuring preconditioners for mortar methods in an abstract framework

A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y. Maday, O. Widlund, Substructuring preconditioners for the mortar method in dimension two, SIAM J....

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics letters 2007-02, Vol.20 (2), p.131-137
Main Authors: Bertoluzza, Silvia, Pennacchio, Micol
Format: Article
Language:English
Subjects:
Algebra
Domain decomposition
Exact sciences and technology
Iterative substructuring
Linear and multilinear algebra, matrix theory
Mathematics
Mortar methods
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y. Maday, O. Widlund, Substructuring preconditioners for the mortar method in dimension two, SIAM J. Numer. Anal. 36 (1999) 551–580] to the mortar method for the case of order one finite elements. The estimate that we provide relies on abstract assumptions so our result holds for finite elements of any order, as well as for spaces of different kinds, e.g. wavelets.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2006.02.029