\begin{equation}
    \mathcal{L}^{\text{DIC}}=\dfrac{1}{N_{\text{DIC}}}\sum_{i=1}^{N_{\text{DIC}}} |\tilde{\textbf{u}}(\textbf{X}_{\text{DIC}};t)-\textbf{u}^*(\textbf{X}_{\text{DIC}};t)|^2.
\end{equation}
