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BDDC preconditioning for high-order Galerkin Least-Squares methods using inexact solvers

Author(s)
Yano, Masayuki; Darmofal, David L.; Darmofal, David L
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Abstract
A high-order Galerkin Least-Squares (GLS) finite element discretization is combined with a Balancing Domain Decomposition by Constraints (BDDC) preconditioner and inexact local solvers to provide an efficient solution technique for large-scale, convection-dominated problems. The algorithm is applied to the linear system arising from the discretization of the two-dimensional advection–diffusion equation and Euler equations for compressible, inviscid flow. A Robin–Robin interface condition is extended to the Euler equations using entropy-symmetrized variables. The BDDC method maintains scalability for the high-order discretization of the diffusion-dominated flows, and achieves low iteration count in the advection-dominated regime. The BDDC method based on inexact local solvers with incomplete factorization and p = 1 coarse correction maintains the performance of the exact counterpart for the wide range of the Peclet numbers considered while at significantly reduced memory and computational costs.
Date issued
2010-06
URI
http://hdl.handle.net/1721.1/101268
Department
Massachusetts Institute of Technology. Aerospace Computational Design Laboratory; Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Journal
Computer Methods in Applied Mechanics and Engineering
Publisher
Elsevier
Citation
Yano, Masayuki, and David L. Darmofal. “BDDC Preconditioning for High-Order Galerkin Least-Squares Methods Using Inexact Solvers.” Computer Methods in Applied Mechanics and Engineering 199, no. 45–48 (November 2010): 2958–2969.
Version: Author's final manuscript
ISSN
00457825

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