A robust two-level domain decomposition preconditioner for systems of PDEs

Comptes Rendus Mathematique

Volumn 349, Issue 23-24, 2011, Pages 1255-1259

  Spillane, Nicole ^a,b   Dolean, Victorita ^c   Hauret, Patrice ^b   Nataf, Frédéric ^a   Pechstein, Clemens ^d   Scheichl, Robert ^e  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b Michelin   (France)

^c UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^d JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^e University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 83155192111     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2011.10.021     Document Type: Article

References (7)

1. V. Dolean, F. Nataf, R. Scheichl, N. Spillane, Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps, 2011, submitted for publication, http://hal.archives-ouvertes.fr/hal-00586246/fr/.
2. Y. Efendiev, J. Galvis, R. Lazarov, J. Willems, Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms, RICAM report, 2011.
3. Hecht F. FreeFem++ Laboratoire J.L. Lions, CNRS UMR 7598. http://www.freefem.org/ff++/.
4. Le Tallec P. Domain decomposition methods in computational mechanics. Comput. Mech. Adv. 1994, 1(2):121-220.
5. Nataf F., Xiang H., Dolean V., Spillane N. A coarse space construction based on local Dirichlet to Neumann maps SISC. http://hal.archives-ouvertes.fr/hal-00491919/fr/.
6. C. Pechstein, R. Scheichl, Weighted Poincaré inequalities, Tech. Report NuMa-Report 2010-10, Institute of Computational Mathematics, Johannes Kepler University, Linz, December 2010, submitted for publication.
7. Toselli A., Widlund O. Domain Decomposition Methods: Algorithms and Theory 2005, Springer.