A Discontinuous Finite Volume Method for the Darcy-Stokes Equations

Table 2

Error behavior for scheme (2.42).

ℎ𝑑	ℎ	|‖𝐮−𝐮ℎ‖|	|‖𝐮−𝐮2ℎ‖||‖𝐮−𝐮ℎ‖|	‖𝐮−𝐮ℎ‖	‖𝐮−𝐮2ℎ‖‖𝐮−𝐮ℎ‖	‖𝑝−𝑝ℎ‖	‖𝑝−𝑝2ℎ‖‖𝑝−𝑝ℎ‖
1/8	1.598𝑒−1	2.071𝑒−2		3.280𝑒−4		1.079𝑒−2
1/16	8.372𝑒−2	1.027𝑒−2	2.0	9.204𝑒−5	3.5	5.380𝑒−3	2.0
1/32	3.679𝑒−2	5.175𝑒−3	2.0	2.476𝑒−5	3.7	2.659𝑒−3	2.0
1/64	1.899𝑒−2	2.608𝑒−3	2.0	6.361𝑒−6	3.8	1.325𝑒−3	2.0
1/128	9.413𝑒−3	1.306𝑒−3	2.0	1.613𝑒−6	3.9	6.603𝑒−4	2.0