Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method

Table 2

Comparison of the exact and the numerical solutions using the finite element method for , , and .

			FE solution	Exact solution	Absolute error
	0	0	2.0000	2.0000	0
1	0.3	0.3	2.0544	2.0000	0.0544
	0.6	0.6	2.0682	2.0000	0.0682
	1	1	2.0000	2.0000	0
	0	0	16.0000	16.0000	0
15	0.3	0.3	16.0544	16.0000	0.0544
	0.6	0.6	16.0682	16.0000	0.0682
	1	1	16.0000	16.0000	0
	0	0	51.0000	51.0000	0
50	0.3	0.3	51.0544	51.0000	0.0544
	0.6	0.6	51.0682	51.0000	0.0682
	1	1	51.0000	51.0000	0
	0	0	101.0000	101.0000	0
100	0.3	0.3	101.0544	101.0000	0.0544
	0.6	0.6	101.0682	101.0000	0.0682
	1	1	101.0000	101.0000	0