Balancing domain decomposition by constraints associated with subobjects

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Title:	Balancing domain decomposition by constraints associated with subobjects
Author:	Badia, Santiago; Martín Huertas, Alberto Francisco; Nguyen, Hieu Trung
Other authors:	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
Abstract:	A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the condition number of the preconditioner is bounded by C(1+log(L/h))2, where C is a constant, and h and L are the characteristic sizes of the mesh and the subobjects, respectively. As L can be chosen almost freely, the condition number can theoretically be as small as O(1). We will discuss the pros and cons of the preconditioner and its application to heterogeneous problems. Numerical results on supercomputers are provided.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica -Numerical analysis -BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems -Anàlisi numèrica
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Published by:	Elsevier
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