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 | 0.0165941000 | 0.1898900 | 0.09290030 | 0.46289000 | 14.34060 | 0.0215030000 |
1/8 | 0.0046533600 | 0.0948421 | 0.02580190 | 0.11471700 | 7.207800 | 0.0056623600 |
1/16 | 0.0012938400 | 0.0472456 | 0.00675441 | 0.02864350 | 3.606840 | 0.0014376000 |
1/32 | 0.0003417120 | 0.0235623 | 0.00199893 | 0.00718127 | 1.804010 | 0.0003616240 |
1/64 | 8.73879e–005 | 0.0117691 | 0.00063884 | 0.00179964 | 0.902083 | 9.07503e–005 |