Research Article

Parallel Adaptive Mesh Refinement Combined with Additive Multigrid for the Efficient Solution of the Poisson Equation

Table 2

The wall-clock time required to solve the Poisson equation on regular (uniform) grids for levels 5 to 10 using 1 to 64 processors on a Beowulf cluster.

Time (s) Number of processors
Level Grid 1 2 4 8 16 32 64

5 1024 1.88 1.03 0.70 0.68 0.75 0.80 0.80
6 4096 7.52 3.75 2.23 1.75 1.38 1.53 1.23
7 16384 33.50 15.73 8.24 5.02 3.50 3.76 2.51
8 65536 158.11 73.32 34.21 18.23 10.02 7.01 5.23
9262144353.51176.0185.7642.0421.4912.47
101048576381.52192.7292.7648.70