Face-based selection of corners in 3D substructuring

0379744 - MÚ 2013 RIV NL eng J - Journal Article
Šístek, Jakub - Čertíková, M. - Burda, P. - Novotný, J.
Face-based selection of corners in 3D substructuring.
Mathematics and Computers in Simulation. Roč. 82, č. 10 (2012), s. 1799-1811. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA AV ČR IAA100760702
Institutional research plan: CEZ:AV0Z10190503
Keywords : domain decomposition * iterative substructuring * BDDC
Subject RIV: BA - General Mathematics
Impact factor: 0.836, year: 2012
http://www.sciencedirect.com/science/article/pii/S0378475411001820

In most recent substructuring methods, a fundamental role is played by the coarse space. For some of these methods (e.g. BDDC and FETI-DP), its definition relies on a ‘minimal’ set of coarse nodes (sometimes called corners) which assures invertibility of local subdomain problems and also of the global coarse problem. This basic set is typically enhanced by enforcing continuity of functions at some generalized degrees of freedom, such as average values on edges or faces of subdomains. We revisit existing algorithms for selection of corners. The main contribution of this paper consists of proposing a new heuristic algorithm for this purpose. Considering faces as the basic building blocks of the interface, inherent parallelism, and better robustness with respect to disconnected subdomains are among features of the new technique.
Permanent Link: http://hdl.handle.net/11104/0210628