. Author manuscript; available in PMC: 2020 Apr 15.

Published in final edited form as: J Comput Phys. 2019 Feb 1;383:72–93. doi: 10.1016/j.jcp.2019.01.019

Table 3:

The performance of the linear solver with varying material properties. $\bar{n}$ represents the averaged number of FGMRES iterations; ${\bar{n}}_{A}$ represents the averaged number of iterations for solving with A in (4.3) and (4.5); ${\bar{n}}_{S}$ represents the averaged number of iterations for solving (4.4); ${\bar{T}}_{L}$ represents the averaged CPU time for one nonlinear iteration in seconds; $ν$ represents the Poisson’s ratio; η is a non-dimensional scaling factor for the shear modulus.

$\bar{n} [{\bar{n}}_{A}, {\bar{n}}_{S}] ({\bar{T}}_{L})$	η = 10⁻²	η = 10⁰	η = 10²
$ν$ = 0.0	2.0 [46.9, 15.9] (46.6)	2.0 [48.1, 16.0] (48.3)	2.0 [47.9, 15.3] (46.2)
$ν$ = 0.1	2.0 [48.5, 19.0] (49.2)	2.0 [48.4, 17.9] (50.3)	2.0 [48.1, 15.5] (46.5)
$ν$ = 0.2	2.0 [48.3, 20.2] (52.8)	2.0 [48.0, 19.9] (52.9)	2.0 [48.3, 16.8] (47.0)
$ν$ = 0.3	2.0 [47.9, 23.1] (56.4)	2.0 [41.1, 21.5] (57.9)	2.0 [48.5, 17.7] (48.6)
$ν$ = 0.4	2.0 [47.4, 28.5] (66.4)	2.0 [48.2, 25.8] (65.5)	2.0 [48.6, 19.2] (50.6)
$ν$ = 0.5	2.2 [47.1, 36.3] (101.2)	2.0 [47.4, 24.6] (66.3)	2.0 [46.5, 20.3] (48.6)