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 | 0.0161660000 | 0.1895230 | 0.05247790 | 0.048723100 | 1.4312000 | 0.0205940000 |
1/8 | 0.0040720000 | 0.0944033 | 0.01628890 | 0.011688300 | 0.7203930 | 0.0054969900 |
1/16 | 0.0010201200 | 0.0471172 | 0.00525163 | 0.002889210 | 0.3606690 | 0.0014169300 |
1/32 | 0.0002548480 | 0.0235401 | 0.00174311 | 0.000721144 | 0.1804010 | 0.0003594990 |
1/64 | 6.37027e–005 | 0.0117660 | 0.00059351 | 0.000180326 | 0.0902083 | 9.05304e–005 |