Computable Error Bounds for Finite Element Approximation on Non-polygonal Domains
نویسندگان
چکیده
Fully computable, guaranteed bounds are obtained on the error in the finite element approximation which take the effect of the boundary approximation into account. We consider the case of piecewise affine approximation of the Poisson problem with pure Neumann boundary data, and obtain a fully computable quantity which is shown to provide a guaranteed upper bound on the energy norm of the error. The estimator provides, up to a constant and oscillation terms, local lower bounds on the energy norm of the error.
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