A formalism for designing robust multigrid methods for Helmholtz-like problems

2013 ◽  
Vol 37 (2) ◽  
pp. 230-236
Author(s):  
Thomas K. Huckle ◽  
Christos D. Kravvaritis
Keyword(s):  
Multigrid Methods ◽  
Robust Multigrid

Potentialities of the Robust Multigrid Technique

2010 ◽  
Vol 10 (1) ◽  
pp. 87-94 ◽  
Author(s):  
S.I. Martynenko
Keyword(s):  
Load Balance ◽  
Unstructured Grids ◽  
Multigrid Methods ◽  
Structured Grids ◽  
Minimum Speed ◽  
Speed Up ◽  
Coarse Grids ◽  
Robust Multigrid ◽  
Geometric Nature

AbstractThe present paper discusses the parallelization of the robust multigrid technique (RMT) and the possible way of applying this to unstructured grids. As opposed to the classical multigrid methods, the RMT is a trivial method of parallelization on coarse grids independent of the smoothing iterations. Estimates of the minimum speed-up and parallelism efficiency are given. An almost perfect load balance is demonstrated in a 3D illustrative test. To overcome the geometric nature of the technique, the RMT is used as a preconditioner in solving PDEs on unstructured grids. The procedure of auxiliary structured grids generation is considered in details.

An Energy-minimizing Interpolation for Robust Multigrid Methods

1999 ◽  
Vol 21 (4) ◽  
pp. 1632-1649 ◽  
Author(s):  
W. L. Wan ◽  
Tony F. Chan ◽  
Barry Smith
Keyword(s):  
Multigrid Methods ◽  
Robust Multigrid
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