SUBSTRUCTURING PRECONDITIONERS FOR THE Q(1) MORTAR ELEMENT METHOD

Authors
ACHDOU Y KUZNETSOV YA PIRONNEAU O
Citation
Y. Achdou et al., SUBSTRUCTURING PRECONDITIONERS FOR THE Q(1) MORTAR ELEMENT METHOD, Numerische Mathematik, 71(4), 1995, pp. 419-449
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
71
Issue
4
Year of publication
1995
Pages
419 - 449
Database
ISI
SICI code
0029-599X(1995)71:4<419:SPFTQM>2.0.ZU;2-5
Abstract
The Q(1) mortar element method is a non conforming finite element meth od with Q(1) elements based on domain decomposition. For the Laplace e quation, it yields an ill conditioned linear system. For solving the l inear system, the so called preconditioned conjugate gradient method i n a subspace is used. Preconditioners are proposed, and estimates on c ondition numbers and arithmetical complexity are given, Finally, numer ical experiments are presented.