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- W1567678635 abstract "We consider a second-order elliptic problem in mixed form that has to be solved as a part of a projection algorithm for unsteady Navier-Stokes equations The use of Crouzeix-Raviart non-conforming elements for the velocities and piece-wise constants for the pressure provides a locally mass-conservative approximation Since the mass matrix corresponding to the velocities is diagonal, these unknowns can be eliminated exactly We address the design of efficient solution methods for the reduced weighted graph-Laplacian system.Construction of preconditioners based on algebraic multilevel iterations (AMLI) is considered AMLI is a stabilized recursive generalization of two-level methods We define hierarchical two-level transformations and corresponding block 2x2 splittings locally for macroelements associated with the edges of the coarse triangulation Numerical results for two sets of hierarchical partitioning parameters are presented for the cases of two-level and AMLI methods The observed behavior complies with the theoretical expectations and the constructed AMLI preconditioners are optimal." @default.
- W1567678635 created "2016-06-24" @default.
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- W1567678635 date "2010-01-01" @default.
- W1567678635 modified "2023-09-27" @default.
- W1567678635 title "Numerical Study of AMLI Methods for Weighted Graph-Laplacians" @default.
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- W1567678635 doi "https://doi.org/10.1007/978-3-642-12535-5_8" @default.
- W1567678635 hasPublicationYear "2010" @default.
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