%AVERAGE_BND%

average of a functional based on all MESHFREE boundary points with respect to given boundary elements

Average of a given functional \( f\) (ExpressionOfIntegrand) with respect to the set \( P_\text{BND}\) of all MESHFREE boundary points with given POSTPROCESS-flags:
\begin{align} I_{\text{AvgBND}} = \frac{1}{\#P_\text{BND}} \sum_{i \in P_\text{BND}} f_i,\end{align}
where \( \#P_\text{BND}\) denotes the number of points in \( P_\text{BND}\). Example:
begin_alias{} "Alias1" = " ... POSTPROCESS$PostprocessTag1$ ... " # definition of Alias1 "Alias2" = " ... POSTPROCESS$PostprocessTag2$ ... " # definition of Alias2 end_alias INTEGRATION($IntInd$) = ( %AVERAGE_BND%, ExpressionOfIntegrand, $PostprocessTag1$, $PostprocessTag2$ )