fABND()
function evaluation for monitor points relative to the area of the corresponding boundary element
[ ... fABND(%ind_f%) ... ]
In case of
MONITORPOINTS perform the evaluation of a
MESHFREE-index
%ind_f% (see
__Indices__) relative to the area
of the boundary element, which the respective monitor point is attached to, in the following sense:
\begin{align} \text{fABND}(f) = \frac{\sum_{i \in S_\text{monitor}} f_i}{\sum_{i \in S_\text{monitor}} A_i},\end{align}
where \( S_\text{monitor}\) denotes the set of all monitor points attached to the same boundary element.
The area of the monitor points \( A_i\) is determined by
\begin{align} A_i = \frac{A_{iBE}}{np_{iBE}},\end{align}
where \( A_{iBE}\) is the area of the boundary element monitor point i is attached to and
\( np_{iBE}\) is the total number of monitor points attached to this boundary element.