From: David Wells Date: Tue, 22 Jun 2021 21:26:56 +0000 (-0400) Subject: Fix a few more minor things. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=800e085a01e99664e4d8f85ad43a237830e28c6d;p=release-papers.git Fix a few more minor things. - Consistently don't hyphenate finite element - add a missing 'and' - Clean up some verbs --- diff --git a/9.3/paper.tex b/9.3/paper.tex index 68bac76..85d1a94 100644 --- a/9.3/paper.tex +++ b/9.3/paper.tex @@ -596,8 +596,8 @@ pure simplex mesh with the function \subsubsection{Using simplex meshes} -After having created a triangulation, one can proceed in the same way -as for hypercube meshes. In particular, one selects an appropriate finite element, mapping, and +After creating a triangulation, one can proceed in the same way as for hypercube +meshes. In particular, one selects an appropriate finite element, mapping, and quadrature class as follows: \begin{c++} @@ -610,7 +610,7 @@ dof_handler.distribute_dofs(fe); FEValues fe_values(mapping, fe, quad, flags); \end{c++} -The list of currently supported finite-element classes is provided in Table~\ref{tab:simplex:fe}. Currently, +The list of currently supported finite element classes is provided in Table~\ref{tab:simplex:fe}. Currently, only linear and quadratic mappings via the \texttt{MappingFE} and \texttt{MappingFEField} classes built around the listed nodal elements are available. %\todo[inline]{I don't understand the previous sentence. "linear" means @@ -622,7 +622,7 @@ available. \subsubsection{Using mixed meshes} For mixed meshes, concepts known from the $hp$-context have been applied: - different finite-element classes are assigned to different cells + different finite element classes are assigned to different cells based on their respective kind of reference cell. In the case of a 2D mixed mesh, which can only consist of triangles and quadrilaterals, the finite element defined on a triangle (e.g., \texttt{FE\_SimplexP}) @@ -972,8 +972,8 @@ for example, come from a mesh of lower dimension. Determining to which \texttt{cell} a quadrature point belongs to on the background mesh, including the reference cell coordinates \texttt{reference\_\allowbreak points}, is aided by functions like -\texttt{find\_active\_cell\_around\_point()} -\texttt{find\_all\_active\_cells\_\allowbreak around\_\allowbreak point()} from the \texttt{GridTools} namespace. While these +\texttt{find\_active\_cell\_around\_point()} and +\texttt{find\_all\_active\_\allowbreak cells\_\allowbreak around\_\allowbreak point()} from the \texttt{GridTools} namespace. While these functions have been available in \dealii{} previously, their performance has been considerably enhanced with the aforementioned more optimized code paths for selected mappings.