efficiently in the same way as in the matrix-free loops (see Subsection~\ref{sec:mf}).
In \cite{munch2022gc}, the performance of the local-smoothing and global-coarsening
-infrastructure of \texttt{deal.II} was compared for locally refined meshes. The results indicate that
+infrastructure of \dealii{} was compared for locally refined meshes. The results indicate that
the local definition of multigrid levels might introduce load imbalances
in the case of local smoothing so that global coarsening is favorable despite
potentially more expensive intergrid transfers. In order to judge the benefits
-of one approach against the other, \texttt{deal.II} provides new functions
+of one approach against the other, \dealii{} provides new functions
\texttt{workload\_imbalance()} and \texttt{vertical\_communication\_efficiency()}
in the \texttt{MGTools} namespace for the estimation of the imbalance during, e.g.,
smoothing and the
\begin{itemize}
\item ``\texttt{TRBDF2-DG projection solver for the incompressible Navier--Stokes equations}'' was contributed by Giuseppe Orlando Politecnico di Milano. It shows
how to solve the incompressible Navier--Stokes equations efficiently
- with \texttt{deal.II}'s matrix-free DG infrastructure, multigrid, and adaptive-mesh
+ with \dealii{}'s matrix-free DG infrastructure, multigrid, and adaptive-mesh
refinement. Interested readers are referred to~\cite{orlando2021efficient}.
\end{itemize}
Finally, the ``\texttt{MCMC for the Laplace equation}'' code gallery