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. 2003 Sep;85(3):1345–1357. doi: 10.1016/S0006-3495(03)74569-X

TABLE 1B.

Computed Inline graphic with 48 points on the boundary, at the same selected points Inline graphic as in Table 1 A, computed Inline graphic to be compared with the exact values, Inline graphic are the rate of convergence when compared to the coarser grid

Node w1 w2 e1 e2 r1 r2 q1 q2
1 2.000149 −0.000091 1.49(−4) 0.91(−4) 5.63 0.53 8.40 0.5
2 1.931862 −0.518158 1.04(−5) 5.20(−4) 9.25 0.94
3 1.731796 −1.001094 2.55(−4) 1.09(−3) 3.84 1.07 1.76 5.03
4 1.413760 −1.416040 4.54(−4) 1.83(−3) 0.65 0.62
5 0.999445 −1.734516 5.55(−4) 2.47(−3) 0.96 0.85 4.33 1.49
6 0.517242 −1.934964 3.96(−4) 3.11(−3) 1.55 1.20

Inline graphic are the rate of convergence when a grid of 24 points is compared to a grid with 12 points. For example, the computed error Inline graphic in the fourth column means that Inline graphic The rates of convergence are Inline graphic when compared to the coarser grid. The computed rate of the convergence is defined by Inline graphic where Inline graphic are the errors in the traction for two different grids with meshes Inline graphic Here Inline graphic are the meshes that correspond to 24 and 48 points, respectively. Inline graphic are the rate of convergence when a grid of 24 points is compared to a grid with 12 points.