Any two potential vectors 0t and 2i can be employed in the same way as
above to find the constant C:
C = 3 (6.7)
4i2
Table 6-4: Estimates for the constant C generated by Equation (6.7)
n (0n- _2n C
100
175594927.29868 2.34 x 108
200
25121434.49608 1.34 x 108
400
5574244.17420 1.19 x 108
800
In Table 6-4, only four different meshes are considered. If n < 100, the
potential vector is not accurate enough, and if n > 800, there is not enough
memory to do computations on our computer network. The maximum norms of
the difference of two successive potential vectors are shown in the second column
of Table 6-4. Observe that the maximum norm of the difference are getting
smaller. We can predict that it approaches 0 when n tends to infinity if more data
(potentials for larger n) provided. This shows that the sequence On is converging.
The estimates for the constant C are shown in the third column of Table 6-4. The
relative difference for the last two estimates of C is 0.13.
Next, let us assume that the spatial error is O(hP), that is,
n = + En,