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

Table 1

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

			Exact solution	FEM solution	Absolute error
	0	0	0	0	0
1	0.3	0.3	0.4109	0.4143	0.0034
	0.6	0.6	0.6373	0.6498	0.0125
	1	1	0	0	0
	0	0	0	0	0
15	0.3	0.3	3.1357	3.5754	0.4398
	0.6	0.6	4.8634	5.6284	0.7651
	1	1	0	0	0
	0	0	0	0	0
50	0.3	0.3	9.9476	10.0780	0.1304
	0.6	0.6	15.4289	15.9524	0.5235
	1	1	0	0	0
	0	0	0	0	0
100	0.3	0.3	19.6789	18.8804	0.7985
	0.6	0.6	30.5223	30.0240	0.4984
	1	1	0	0	0