%AVERAGE_FS%

average of a functional based on all MESHFREE free surface points with respect to given material flags

Average of a given functional $ f$ (ExpressionOfIntegrand) with respect to the set $ P_\text{FS}$ of all MESHFREE free surface points with given material flags:

\begin{align} I_{\text{AvgFS}} = \frac{1}{\#P_\text{FS}} \sum_{i \in P_\text{FS}} f_i,\end{align}

where $ \#P_\text{FS}$ denotes the number of points in $ P_\text{FS}$. Example:

begin_alias{} "Alias1" = " ... MAT$MaterialTag1$ ... " # definition of Alias1 "Alias2" = " ... MAT$MaterialTag2$ ... " # definition of Alias2 end_alias INTEGRATION($IntInd$) = ( %AVERAGE_FS%, ExpressionOfIntegrand, $MaterialTag1$, $MaterialTag2$ )