Research Article

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

Table 3

The wall-clock time required to solve the Poisson equation on various adaptive Cartesian meshes using 1 to 64 processors on a Beowulf cluster.

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

604 1.26 0.71 0.49 0.55 0.58 0.51 0.57
2320 4.89 2.54 1.44 1.31 1.20 1.23 1.31
10120 23.10 10.88 5.52 3.56 2.67 2.72 2.61
40048 109.98 53.42 24.53 12.53 7.41 5.22 3.87
160288342.25165.7173.94 36.23 19.66 11.43
639376 388.14 187.12 87.58 45.62