A5. Estimation of the quality of the approximated numerical solution

A5. Estimation of the quality of the approximated numerical solution

The difference between the exact solution of the problem and the approximate one obtained through the finite element method allows us to assess the quality of the solution: this is called “discretization error”. Since in the general case the exact solution is not known, the idea is to estimate this difference by computing an “error estimator”. The error estimators can be categorized as:

The “error estimator” tools (available in some software, with different computational costs in each one) can be used for two different purposes:

It is important to highlight that certain error estimators, such as the stress smoothing method, only estimate the error, while others, such as the weighted residual method, guaranty the numerical results by computing the range of error.

 


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Créé 18 September 2023 16:16:31 par Paul Terrasson Duvernon
Mis à jour 18 September 2023 16:24:53 par Paul Terrasson Duvernon