Research Article

A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner

Table 3

Parallel results for 2cubes_sphere matrix.

np Nrows NonzerosPWAMG solverPWAMG BiCGStab
Setup time CPU (Wtime)Solver time CPU (Wtime)nSetup time CPU (Wtime)Solver time CPU (Wtime)n

2cubes_sphere110149216472645.292.0235.301.554
2507468283322.43 (2.43)1.84 (2.99)32.40 (2.40)6.81 (9.83)7
507468189322.20 (2.20)2.22 (2.99)2.17 (2.17)5.74 (9.83)
338305522601.61 (1.62)1.41 (3.46)1.62 (1.62)5.50 (12.09)
3338305502061.50 (1.50)1.15 (3.47)31.49 (1.49)3.63 (12.09)7
338325447981.42 (1.42)1.74 (3.47)1.41 (1.41)4.36 (12.08)
253734151501.19 (1.20)1.12 (3.26)1.19 (1.19)4.18 (11.48)
4253734124161.12 (1.12)0.96 (3.22)31.12 (1.12)3.83 (11.48)7
253734065161.07 (1.07)1.01 (3.23)1.06 (1.06)3.27 (11.46)
253734131821.06 (1.06)1.18 (3.26)1.06 (1.06)3.22 (11.46)
202983332050.95 (0.95)1.00 (3.29)0.96 (0.94)4.27 (11.87)
203003303830.88 (0.88)0.77 (3.29)0.88 (0.88)3.35 (11.85)
5202983308680.88 (0.88)0.78 (3.30)30.87 (0.87)2.70 (11.85)7
202983289760.84 (0.83)0.75 (3.31)0.85 (0.84)2.68 (11.87)
202983238320.85 (0.85)1.08 (3.32)0.84 (0.84)2.59 (11.85)
169152774720.81 (0.82)0.87 (3.27)0.81 (0.81)4.28 (11.95)
169152760590.74 (0.74)0.69 (3.24)0.74 (0.74)3.15 (11.94)
6169152741470.73 (0.74)0.71 (3.24)30.74 (0.74)2.40 (11.93)7
169152698960.73 (0.73)0.72 (3.24)0.74 (0.74)2.32 (11.94)
169152747880.69 (0.68)0.68 (3.24)0.72 (0.72)2.32 (11.94)
169172749020.72 (0.72)1.03 (3.26)0.68 (0.68)2.32 (11.93)