Basic HTML version of Foils prepared February 13 00

Foil 13 Sequential Guard Rings in Two Dimensions

From Master Set for Parallel Programming for Laplace's Equation CPS615 Spring Semester 00 -- February 00. by Geoffrey C. Fox
1 In analogous 2D sequential case, one could dimension array PHI(?) to PHI(14,14) to hold updated points only. However then points on the edge would need special treatment so that one uses boundary values in update
2 Rather dimension PHI(16,16) to include internal and boundary points
  • Run loops over x(I) and y(J) from 2 to 15 to only cover internal points
  • Preload boundary values in PHI(1, . ), PHI( . , 16), PHI(.,1), PHI( . ,16)
3 This is easier and faster as no conditionals (IF statements) in inner loops
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