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

Published in final edited form as: Comput Mech. 2019 Feb 6;64:717–739. doi: 10.1007/s00466-019-01678-3

Table 3:

The number of iterations and the portion of compute time consumed by the linear solver for the pipe benchmark problem with deformable walls. The number of linear solver iterations is counted for 10 time step calculations. t_T is the total compute time, t_LS is the compute time consumed by solving the linear system.

BIPN-RPC /ϵ = 10⁻³
N_bipn	t_LS/t_T	N_gmres	t_gmres/t_LS	N_cg	t_CG/t_LS
608	78.6%	117377	77%	64865	15.6%
BIPN-RPC /ϵ = 10⁻⁶
N_bipn	t_LS/t_T	N_gmres	t_gmres/t_LS	N_cg	t_CG/t_LS
1580	83.9%	318272	79.4%	145183	13.4%
BIPN-RPC /ϵ = 10⁻⁹
N_bipn	t_LS/t_T	N_gmres	t_gmres/t_LS	N_cg	t_CG/t_LS
14872	83.3%	4087258	79.6%	874018	11.0%

ϵ = 10⁻³	GMRES		BICGS
PC	N_gmres	t_LS/t_T	N_bicgs	t_LS/t_T
Diag	11283	71.9%	12094	66.3%
Block-D	9127	65.1%	9438	59.9%
ILU	3900	61.2%	3655	64.2%
ILUT	3493	70.6%	3333	70.9%
IC	4089	17.2%	3873	20.02%
ML	3735	31.74%	3799	44.43%
ϵ = 10⁻⁶	GMRES		BICGS
PC	N_gmres	t_LS/t_T	N_bicgs	t_LS/t_T
Diag	33455	86.2%	45623	85.3%
Block-D	26311	81.7%	29589	77.3%
ILU	7699	70.1%	7338	74.9%
ILUT	5904	75.1%	5537	77.1%
IC	8241	28.7%	7819	32.0%
ML	7109	49.9%	7610	63.9%
ϵ = 10⁻⁹	GMRES		BICGS
PC	N_gmres	t_LS/t_T	N_bicgs	t_LS/t_T
Diag	71884	90.25%	100431	90.6%
Block-D	55392	88.2%	49695	82.1%
ILU	13801	75.1%	13093	80.0%
ILUT	9848	76.7%	9404	79.3%
IC	14615	42.2%	13858	43.4%
ML	12178	59.8%	9587	78.4%