Theory and Modern Applications
From: Stabilized finite element method for the stationary mixed Stokes–Darcy problem
h | \(\|\mathbf{u}_{f}^{h}-\mathbf{u}_{f}\|_{0,\Omega _{f}}\) | \(\|\mathbf{u}_{f}^{h}-\mathbf{u}_{f}\|_{1,\Omega _{f}}\) | \(\|p^{h}-p\|_{0,\Omega _{f}}\) | \(\|\phi ^{h}-\phi \|_{0,\Omega _{p}}\) | \(\|\phi ^{h}-\phi \|_{1,\Omega _{p}}\) | \(\|\mathbf{u}^{h}_{p}-\mathbf{u}_{p}\|_{0,\Omega _{p}}\) |
---|---|---|---|---|---|---|
1/4 | 0.016845100 | 0.1902420 | 0.12546000 | 4.5981200 | 143.695 | 0.022608400 |
1/8 | 0.005788180 | 0.0964517 | 0.05396490 | 1.1318200 | 72.1796 | 0.006306740 |
1/16 | 0.002560890 | 0.0488275 | 0.01943480 | 0.2813460 | 36.0814 | 0.001683910 |
1/32 | 0.001052120 | 0.0242530 | 0.00616251 | 0.0705812 | 18.0412 | 0.000422170 |
1/64 | 0.000358495 | 0.0119415 | 0.00191977 | 0.0177721 | 9.02091 | 0.000101925 |