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I have studied the influence of on the and norms of the
error between the exact solution and the calculated solution with the X-FEM.
The computation gave the evolution of the and norms as a function of
and the number of time iterations. The computation for
was not made, because the method is only conditionaly stable for these values of .The
result is given Fig. 7 and Fig. 8.
Figure 7:
The influence of on the norm.
|
Figure 8:
The influence of on the norm.
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We note that the best result corresponds to the case
.
Renaud Merle
2000-08-26