Table III.

Results from solution of Niederer Benchmark Problem [22], using L-LL, F-LL, F-LF, and L-LF variants of the ICI formulation with operator splitting.

Δx, Δt	P1	P2	P3	P4	P5	P6	P7	P8	C
L-LL
0.1, 0.005	1.46	32.68	9.56	34.69	30.68	47.62	33.49	48.68	22.67
0.1, 0.01	1.46	32.69	9.56	34.69	30.68	47.62	33.49	48.68	22.67
0.1, 0.05	1.46	32.70	9.57	34.72	30.68	47.63	33.54	48.69	22.72
0.2, 0.005	1.46	35.86	12.57	40.69	41.65	59.66	45.63	62.67	29.75
0.2, 0.01	1.46	35.87	12.57	40.69	41.65	59.66	45.23	62.67	29.75
0.2, 0.05	1.46	35.98	12.58	40.69	41.65	59.66	45.63	62.67	29.75
0.5, 0.005	1.46	60.30	29.61	69.95	124.34	139.62	127.63	141.62	69.49
0.5, 0.01	1.46	60.31	29.61	69.96	124.37	139.62	127.63	141.62	69.51
0.5, 0.05	1.46	59.56	29.64	69.65	125.66	141.08	129.59	142.75	66.69
F-LL
0.1, 0.005	1.46	30.77	7.72	32.55	25.63	40.68	26.71	41.66	18.98
0.1, 0.01	1.46	30.79	7.72	32.58	25.63	40.69	26.71	41.68	18.98
0.1, 0.05	1.46	31.69	7.72	32.70	25.68	40.69	26.76	41.69	19.66
0.2, 0.005	1.46	30.69	8.71	31.70	28.68	41.97	30.68	42.77	19.90
0.2, 0.01	1.46	30.70	8.71	31.70	28.68	41.99	30.68	42.78	19.99
0.2, 0.05	1.46	30.71	8.71	31.75	28.68	42.63	30.68	43.57	19.99
0.5, 0.005	1.46	32.66	11.64	33.83	48.60	60.99	50.62	62.13	26.79
0.5, 0.01	1.46	32.65	11.64	33.82	48.59	60.88	50.61	61.95	26.77
0.5, 0.05	1.46	32.66	11.64	33.84	48.56	60.78	50.61	61.85	26.77
F-LF
0.1, 0.005	1.46	29.91	6.75	30.74	21.91	37.57	23.59	37.73	17.83
0.1, 0.01	1.46	29.91	6.75	30.74	22.91	37.57	23.59	37.73	17.83
0.1, 0.05	1.46	30.66	6.76	31.44	22.08	37.69	23.67	37.99	17.87
0.2, 0.005	1.46	27.78	6.68	28.71	19.86	33.71	20.74	33.74	16.69
0.2, 0.01	1.46	27.78	6.68	28.71	19.86	33.69	20.75	33.74	16.69
0.2, 0.05	1.46	28.67	6.68	28.74	19.94	33.72	20.75	34.05	16.74
0.5, 0.005	1.46	23.82	4.70	24.45	17.16	26.00	17.57	26.47	13.41
0.5, 0.01	1.46	23.82	4.70	24.44	17.16	25.98	17.57	26.46	13.41
0.5, 0.05	1.46	23.83	4.70	24.47	17.16	26.02	17.54	26.48	13.42
L-LF
0.1, 0.005	1.46	31.31	7.69	32.62	24.65	39.74	25.69	40.70	18.98
0.1, 0.01	1.46	31.31	7.69	32.62	24.65	39.74	25.69	40.71	18.98
0.1, 0.05	1.46	31.63	7.69	32.68	24.66	40.69	25.69	40.70	19.13
0.2, 0.005	1.46	30.64	7.51	30.94	22.78	37.43	23.72	37.72	18.58
0.2, 0.01	1.46	30.64	7.51	30.92	22.78	37.35	23.72	37.72	18.58
0.2, 0.05	1.46	30.68	7.51	31.54	22.79	37.35	23.72	37.72	18.58
0.5, 0.005	1.46	27.55	5.48	27.65	20.06	29.57	20.52	29.65	14.83
0.5, 0.01	1.46	27.56	5.48	27.65	19.98	29.56	20.49	29.65	14.83
0.5, 0.05	1.46	27.56	5.48	27.65	19.98	29.56	20.49	29.65	14.83