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VDM Verlag Adaptive-Multilevel BDDC: a scalable and robust version

Name: Adaptive-Multilevel BDDC: a scalable and robust version
Brand: VDM Verlag
Price: 50.0 GBP
Availability: InStock

Mathematics

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The Balancing Domain Decomposition by Constraints (BDDC) method by Dohrmann (2003) is one of the the most advanced method from the Balancing family of iterative substructuring methods by Mandel (1993). In the first part we formulate a new family of abstract Multispace BDDC methods and give condition number bound from the abstract additive Schwarz preconditioning theory. The Multilevel BDDC is then treated as a special case of the Multispace BDDC. In the second part we propose a method for adaptive selection of the coarse space for the original two-level BDDC method. The method works by adding coarse degrees of freedom constructed from eigenvectors associated with intersections of selected pairs of adjacent substructures. In the third part we combine the advantages of both approaches to propose a new method called Adaptive -- Multilevel BDDC that preserves both, parallel scalability with increasing number of subdomains and also very good convergence properties. Performance of the method is illustrated by several numerical examples in two and three spatial dimensions.

Product Specifications

Brand: VDM Verlag
Format: paperback
ASIN: 3639316975
Category: Books > Subjects > Science, Nature & Maths > Mathematics
Domain: Amazon UK
Release Date: 03 December 2010
Listed Since: 06 December 2010

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VDM Verlag Adaptive-Multilevel BDDC: a scalable and robust version

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