Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition

By Achi Brandt, Oren E. Livne. 2011

336 citations recorded by the source corpus.

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Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods (2012, methodology): “[7], [10, Chapter 4]) that, in order to investigate the behavior of multigrid methods, one should replace one of the two components (smoother or coarse grid correction) by a component which one knows to be effective (even if it is not feasible to use this component in practice), to test the other on”
Truly monolithic algebraic multigrid for fluid–structure interaction (2011, background): “Pioneering work in the field of multigrid methods for nonsymmetric systems can be found in [46] and in the books [31, 47].”
Evaluating the performance of parallel subsurface simulators: An illustrative example with PFLOTRAN (2014, background): “These systems do not have the nice properties of elliptic PDEs [ Hackbusch , 1985; Brandt and Livne , 2011].”