Research Article

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

Table 4

Parallel results for offshore matrix.

npNrowsNonzerosPWAMG solverPWAMG BiCGStab
Setup time CPU (Wtime)Solver time CPU (Wtime)nSetup time CPU (Wtime)Solver time CPU (Wtime) 𝑛

Offshore1259789424267316.6718.42616.6921.1710
212989421201638.13 (8.12)4.65 (7.71) 38.08 (8.08)31.94 (46.27) 12
12989521225107.38 (7.38)5.80 (7.71)7.37 (7.37)26.93 (46.28)
8659614247475.13 (5.15)3.46 (9.45)5.07 (5.07)31.0 (64.24)
38659614106444.93 (4.93)3.25 (9.50)34.97 (4.97)22.6 (64.19)14
8659714072825.01 (5.00)4.97 (9.50)4.90 (4.90)20.6 (64.24)
6494710659713.60 (3.61)2.96 (8.74)4.13 (4.12)19.47 (60.21)
46494710609944.15 (4.14)2.67 (8.64) 33.74 (3.73)19.31 (60.18) 14
6494710591693.42 (3.42)2.73 (8.68)3.54 (3.55)16.98 (60.09)
6494810565393.80 (3.80)3.19 (8.74)3.39 (3.38)16.53 (60.13)
519578581752.77 (2.76)2.50 (8.76)3.28 (3.28)21.64 (60.97)
519578474353.31 (3.30)2.31 (8.74)2.94 (2.94)16.83 (60.94)
5519578467472.96 (2.95)2.23 (8.77)32.88 (2.87)14.76 (60.90)14
519578454662.87 (2.87)1.99 (8.80)2.86 (2.85)14.28 (60.94)
519618448502.93 (2.93)3.13 (8.81)2.75 (2.75)13.83 (60.97)
432987152282.22 (2.21)2.21 (8.87)2.61 (2.61)22.69 (61.66)
432987095192.62 (2.61)2.07 (8.90)2.60 (2.60)14.01 (61.60)
6432987070232.62 (2.61)2.09 (8.90) 32.52 (2.52)13.63 (61.65) 13
432987059982.20 (2.20)1.87 (8.89)2.51 (2.51)13.59 (61.63)
432987036212.54 (2.53)1.98 (8.90)2.20 (2.20)12.52 (61.66)
432997012842.29 (2.29)3.09 (8.87)2.18 (2.19)12.29 (61.63)