Research Article
A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow
Table 3
The corresponding convergence rates of fm. 1 and fm. 2.
| | Case | Mesh | | | | | | fm. | fm. | fm. | fm. | fm. | fm. | fm. | fm. |
| | 1 | | 1.459 | 1.468 | 0.997 | 1.001 | 0.995 | 0.993 | 1.875 | 1.795 | | 1.468 | 1.476 | 0.998 | 0.995 | 0.999 | 0.999 | 1.961 | 1.934 | | 1.479 | 1.484 | 1.000 | 0.998 | 1.000 | 1.000 | 1.987 | 1.978 | | 1.486 | 1.489 | 1.000 | 1.000 | 1.000 | 1.000 | 1.996 | 1.993 |
| | | 1.449 | 1.457 | 0.968 | 0.978 | 0.999 | 0.996 | 1.817 | 1.742 | | 1.462 | 1.471 | 0.983 | 0.984 | 1.001 | 1.001 | 1.930 | 1.901 | | 1.471 | 1.479 | 0.993 | 0.993 | 1.001 | 1.000 | 1.976 | 1.960 | | 1.480 | 1.485 | 0.997 | 0.997 | 1.000 | 1.000 | 1.989 | 1.984 |
| | | 1.347 | 1.340 | 0.942 | 0.924 | 0.998 | 0.997 | 1.787 | 1.708 | | 1.416 | 1.414 | 0.957 | 0.945 | 0.999 | 0.999 | 1.906 | 1.870 | | 1.452 | 1.452 | 0.979 | 0.973 | 1.000 | 1.000 | 1.959 | 1.942 | | 1.472 | 1.473 | 0.990 | 0.986 | 1.000 | 1.000 | 1.983 | 1.975 |
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