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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.

We note that the best result corresponds to the case .



Renaud Merle 2000-08-26