<td></td>
<td colspan="3" align="center">Finite element order</td>
</tr>
-
<tr>
<td>Refinement level</td>
<td>0</td>
<td>1</td>
<td>2</td>
</tr>
-
<tr>
<td>0</td> <td>1.45344</td> <td>0.0831743</td> <td>0.0235186</td>
</tr>
-
<tr>
<td>1</td> <td>0.715099</td> <td>0.0245341</td> <td>0.00293983</td>
</tr>
-
<tr>
<td>2</td> <td>0.356383</td> <td>0.0063458</td> <td>0.000367478</td>
</tr>
-
<tr>
<td>3</td> <td>0.178055</td> <td>0.00159944</td> <td>4.59349e-05</td>
</tr>
-
<tr>
<td>4</td> <td>0.0890105</td> <td>0.000400669</td> <td>5.74184e-06</td>
</tr>
-
<tr>
<td>5</td> <td>0.0445032</td> <td>0.000100218</td> <td>7.17799e-07</td>
</tr>
-
<tr>
<td>6</td> <td>0.0222513</td> <td>2.50576e-05</td> <td>9.0164e-08</td>
</tr>
-
<tr>
<td></td> <td>$O(h)$</td> <td>$O(h^2)$</td> <td>$O(h^3)$</td>
</tr>
<td></td>
<td colspan="3" align="center">Finite element order</td>
</tr>
-
<tr>
<td>Refinement level</td>
<td>0</td>
<td>1</td>
<td>2</td>
</tr>
-
<tr>
<td>0</td> <td>0.367423</td> <td>0.127657</td> <td>5.10388e-14</td>
</tr>
-
<tr>
<td>1</td> <td>0.175891</td> <td>0.0319142</td> <td>9.04414e-15</td>
</tr>
-
<tr>
<td>2</td> <td>0.0869402</td> <td>0.00797856</td> <td>1.23723e-14</td>
</tr>
-
<tr>
<td>3</td> <td>0.0433435</td> <td>0.00199464</td> <td>1.86345e-07</td>
</tr>
-
<tr>
<td>4</td> <td>0.0216559</td> <td>0.00049866</td> <td>2.72566e-07</td>
</tr>
-
<tr>
<td>5</td> <td>0.010826</td> <td>0.000124664</td> <td>3.57141e-07</td>
</tr>
-
<tr>
<td>6</td> <td>0.00541274</td> <td>3.1166e-05</td> <td>4.46124e-07</td>
</tr>
-
<tr>
<td></td> <td>$O(h)$</td> <td>$O(h^2)$</td> <td>$O(h^3)$</td>
</tr>
<th colspan="6">ILU</th>
<th colspan="3">UMFPACK</th>
</tr>
-
<tr>
<th></th>
<th></th>
<th colspan="2">Timings</th>
<th></th>
</tr>
-
<tr>
<th>Cycle</th>
<th>DoFs</th>
<th>Solve</th>
<th>VM Peak</th>
</tr>
-
<tr>
<td>0</td>
<td>15468</td>
<td>2.8s</td>
<td>5054</td>
</tr>
-
<tr>
<td>1</td>
<td>112724</td>
<td>237s</td>
<td>11288</td>
</tr>
-
<tr>
<td>2</td>
<td>859812</td>
<td>-</td>
<td>-</td>
</tr>
-
</table>
As can be seen from the table,