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The evaluation of the level of approximation introduced is presented.
Based on this strategy, three models with increasingly level of approximation were implemented.
At this step, we obtain the third level of approximation by the standard multilevel method.
The third level of approximation can be obtained by the multilevel augmentation method as follows.
The numerical accuracy can be improved by increasing the resolutions or the level of approximations.
When increasing the level of approximations, the norm of the (L^{2}) error decreases by the factor of (2^{s}) where (1 le s le2).
The experiment is supported by theoretical predictions undertaken at different levels of approximation (MP2 and DFT/B3LYP).
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