Šístek, J and Mandel, J and Sousedík, B and Burda, P Parallel implementation of Multilevel BDDC. Numerical Mathematics and Advanced Applications 2011, Springer, 2013, pages 681-689. (Unpublished)Full text not available from this repository.
In application of the Balancing Domain Decomposition by Constraints (BDDC) to a case with many substructures, solving the coarse problem exactly becomes the bottleneck which spoils scalability of the solver. However, it is straightforward for BDDC to substitute the exact solution of the coarse problem by another step of BDDC method with subdomains playing the role of elements. In this way, the algorithm of three-level BDDC method is obtained. If this approach is applied recursively, multilevel BDDC method is derived. We present a detailed description of a recently developed parallel implementation of this algorithm. The implementation is applied to an engineering problem of linear elasticity and a benchmark problem of Stokes flow in a cavity. Results by the multilevel approach are compared to those by the standard (two-level) BDDC method.
|Uncontrolled Keywords:||math.NA math.NA 65N55, 65F08, 65Y05 G.1.3|
|Divisions:||Div D > Structures|
|Depositing User:||Unnamed user with email email@example.com|
|Date Deposited:||15 Dec 2015 13:29|
|Last Modified:||13 Feb 2016 00:21|