Adaptive Algebraic Smoothers

Journal Article · Sun Jan 01 04:00:00 EST 2012 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2011.11.016· OSTI ID:1037649

Philip, Bobby ^[1]; Chartier, Dr Timothy ^[2]

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1. ORNL
2. Davidson College

methods based on Local Sensitivity Analysis (LSA). The method can be used in the context of geometric and algebraic multigrid methods for constructing smoothers, and in the context of Krylov methods for constructing block preconditioners. It is suitable for both constant and variable coecient problems. Furthermore, the method can be applied to systems arising from both scalar and coupled system partial differential equations (PDEs), as well as linear systems that do not arise from PDEs. The simplicity of the method will allow it to be easily incorporated into existing multigrid and Krylov solvers while providing a powerful tool for adaptively constructing methods tuned to a problem.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: NE USDOE - Office of Nuclear Energy
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1037649
• Journal Information: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: 9 Vol. 236; ISSN 0377-0427
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ITERATIVE METHODS
PARTIAL DIFFERENTIAL EQUATIONS
SCALARS
SENSITIVITY ANALYSIS