Theory and Modern Applications
β | h | 1/16 | 1/32 | 1/64 | 1/128 | Order |
---|---|---|---|---|---|---|
1/4 | \(\Vert u-u_{h} \Vert \) | 9.50e−03 | 4.78e−03 | 2.40e−03 | 1.20e−03 | 1.00 |
\(\vert\!\vert\!\vert p-p_{h}\vert\!\vert\!\vert \) | 3.33e−03 | 9.62e−04 | 2.81e−04 | 8.20e−05 | 1.78 | |
\(\vert\!\vert\!\vert q-q_{h}\vert\!\vert\!\vert \) | 4.44e−03 | 1.43e−03 | 4.62e−04 | 1.50e−04 | 1.60 | |
1/2 | \(\Vert u-u_{h} \Vert \) | 9.48e−03 | 4.77e−03 | 2.39e−03 | 1.20e−03 | 1.00 |
\(\vert\!\vert\!\vert p-p_{h}\vert\!\vert\!\vert \) | 1.43e−03 | 3.94e−04 | 1.07e−04 | 2.79e−05 | 1.92 | |
\(\vert\!\vert\!\vert q-q_{h}\vert\!\vert\!\vert \) | 3.90e−03 | 1.15e−03 | 3.45e−04 | 1.05e−04 | 1.73 | |
2/3 | \(\Vert u-u_{h} \Vert \) | 1.48e−02 | 7.53e−03 | 3.78e−03 | 1.89e−03 | 1.00 |
\(\vert\!\vert\!\vert p-p_{h}\vert\!\vert\!\vert \) | 6.15e−04 | 1.69e−04 | 4.54e−05 | 1.19e−05 | 1.94 | |
\(\vert\!\vert\!\vert q-q_{h}\vert\!\vert\!\vert \) | 3.98e−03 | 1.09e−03 | 3.02e−04 | 8.37e−05 | 1.84 |