E" tude numerique d'estimations d'erreur a posteriori
Keywords:
a posteriori error estimates, interpolation error, hierarchical basis, finite element methodAbstract
Let u E V be the exact solution of a variational problem, which is approximated by some Uh E Vh, Vh being a suitable approximation space. A posteriori estimation of the error llu - uh II measures the (local) quality ofuh. Basic ideas for two kinds of error estimates are presented: one lies on interpolation err01; the other on a hierarchical basis. For a given elliptic boundary value problem approximated by a finite element method, some numerical results are given to show and compare the effectiveness and efficiency of the estimates. These estimates can be used in a self-adaptive mesh modification process.
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