Efficient Alternative for Construction of the Linear System Stemming from Numerical Solution of Heat Transfer Problems via FEM

Table 5

Numerical results for the three case studies.

8 nodes per element					In seconds
nost	elem			CR	CASE 1	CASE 3	% C1C3	CASE 2	% C1C2
1331	1000	0.100		—	24.39	1.09	4.47%	1.07	4.39%
2744	2197	0.077		1.97	52.45	3.60	6.86%	3.45	6.58%
4096	3375	0.067		2.02	94.45	6.54	6.92%	6.51	6.89%
6859	5832	0.056		1.98	176.08	15.00	8.52%	15.51	8.81%
9261	8000	0.050		2.01	252.98	25.09	9.92%	19.85	7.85%
13824	12167	0.043		2.03	218.00	55.88	25.63%	45.92	21.06%
17576	15625	0.040		1.93	313.46	83.87	26.76%	65.42	20.87%
24389	21952	0.036		2.02	485.78	144.51	29.75%	117.15	24.12%
29791	27000	0.033		1.98	664.28	202.25	30.45%	146.48	22.05%
						Average	16.59%		13.62%

Average is the average of all percentual values.