Basic HTML version of Foils prepared March 15 00

Foil 32 Red Black Parallel Gauss Seidel IV

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox


Fortunately very irregular problems like power systems tend not to be huge.
  • 100's or 10,000's not billions of points
  • Thus can use very difficult optimized "full matrix exploiting zero structure" algorithms
In PDE case, one can show for some elliptic problems that red black can be better than original ordering
For some hyperbolic equations used in computational fluid dynamics, this is not so clear and SOR methods are used
If one has more complex differencing schemes e.g. fourth order differencing, then red-black does not work but a scheme with more colors (and more update phases) can be devised
  • Difficulty is irregular graphs not complex stencils



© Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

If you have any comments about this server, send e-mail to webmaster@npac.syr.edu.

Page produced by wwwfoil on Mon Mar 20 2000