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discret solution regularity

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Old   December 8, 2004, 09:21
Default discret solution regularity
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idrissi_racrac
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let P_h be the L2 orthogonal projector P_h : L2(0,1) ----> L2_h

L2_h is L2 discret

h is the step size

is this true

U in H1(0,1) <===> lim || Grad_h P_h U || ?

h-->0 L2_h

If we have a discret solution U_h, how can i get the regularity of the contnuous solution U from U_h ?

Thanks.
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