From: Daniel Arndt Date: Wed, 22 Jun 2022 17:47:24 +0000 (-0400) Subject: corefinement->co-refinement X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=efadeabc1d66b560d7bcc3b4caa2f727159d2220;p=release-papers.git corefinement->co-refinement --- diff --git a/9.4/paper.tex b/9.4/paper.tex index 8c30c10..db4dcb4 100644 --- a/9.4/paper.tex +++ b/9.4/paper.tex @@ -763,9 +763,9 @@ the three dimensional shape. CGAL also provides us with boolean operations on meshes, as available in the utility function \texttt{CGALWrappers::\allowbreak{}compute\_boolean\_operation()}. The -available operations are \textit{corefinement}, \textit{intersection}, +available operations are \textit{co-refinement}, \textit{intersection}, \textit{union}, and \textit{difference}. Oftentimes, boolean -operations and corefinement around the intersection produces +operations and co-refinement around the intersection produces badly shaped mesh cells. To overcome this issue, one can use \texttt{CGALWrappers::\allowbreak{}remesh\_surface()}. Figure~\ref{fig:corefinement_remeshed} shows a graphical example. A possible workflow is the following: \begin{c++} @@ -811,7 +811,7 @@ A possible workflow is the following: \includegraphics[width=\textwidth]{png/cube_sphere_remeshed.png} \caption{ \label{fig:corefinement_remeshed}} \end{subfigure} - \caption{\it (a) \texttt{Triangulation<3>} of a heart surface starting from an implicit function $f$. (b) Union of the unit cube with an hyper ball. Notice how the corefinement around the intersection gives badly shaped elements. (c) The remeshed \dealii{} Triangulation.} + \caption{\it (a) \texttt{Triangulation<3>} of a heart surface starting from an implicit function $f$. (b) Union of the unit cube with an hyper ball. Notice how the co-refinement around the intersection gives badly shaped elements. (c) The remeshed \dealii{} Triangulation.} \end{figure} \texttt{CGALWrappers::compute\_quadrature\_on\_boolean\_operation()} returns a \texttt{Quadrature<3>} that allows exact integration on polyhedral elements coming out of a \texttt{BooleanOperation} between \dealii cells.