On uniform mesh | On adaptive mesh | |||||
---|---|---|---|---|---|---|
N | 50,421 | 50,421 | 50,421 | 22,769 | 3,549 | 3,549 |
S | 147,168 | 147,168 | 147,168 | 64,463 | 9,576 | 9,576 |
E | 96,768 | 96,768 | 96,768 | 41,715 | 6,048 | 6,048 |
error | \(\|E_{u}\|_{L^{2}(L^{2})}\) | \(\|E_{y}\|_{L^{2}(H^{1})}\) | \(\|E_{p}\|_{L^{2}(H^{1})}\) | \(\|E_{u}\|_{L^{2}(L^{2})}\) | \(\|E_{y}\|_{L^{2}(H^{1})}\) | \(\|E_{p}\|_{L^{2}(H^{1})}\) |
8.33e−02 | 1.28e−02 | 4.75e−01 | 8.16e−02 | 5.06e−02 | 7.70e−01 | |
error | \(\|E_{u}\|_{L^{2}(L^{2})}\) | \(\|E_{y}\|_{L^{2}(L^{2})}\) | \(\|E_{p}\|_{L^{2}(L^{2})}\) | \(\|E_{u}\|_{L^{2}(L^{2})}\) | \(\|E_{y}\|_{L^{2}(L^{2})}\) | \(\|E_{p}\|_{L^{2}(L^{2})}\) |
8.33e−02 | 2.79e−04 | 1.01e−01 | 8.16e−02 | 2.09e−03 | 1.14e−01 | |
error | \(\|E_{u}\|_{L^{\infty}(L^{2})}\) | \(\|E_{y}\|_{L^{\infty}(L^{2})}\) | \(\|E_{p}\| _{L^{\infty}(L^{2})}\) | \(\|E_{u}\|_{L^{\infty}(L^{2})}\) | \(\|E_{y}\|_{L^{\infty}(L^{2})}\) | \(\|E_{p}\|_{L^{\infty}(L^{2})}\) |
3.54e−02 | 3.88e−04 | 2.53e−02 | 3.53e−02 | 5.85e−04 | 3.21e−02 |