From 9aab30ccbf6026aa5528e7e9378bc004529965db Mon Sep 17 00:00:00 2001 From: Martin Kronbichler Date: Sat, 28 Apr 2018 17:56:29 +0200 Subject: [PATCH] Fix part on transfinite interpolation manifold. --- 9.0/paper.tex | 12 ++---------- 1 file changed, 2 insertions(+), 10 deletions(-) diff --git a/9.0/paper.tex b/9.0/paper.tex index 4e6277e..5535c26 100644 --- a/9.0/paper.tex +++ b/9.0/paper.tex @@ -295,16 +295,8 @@ faces around a cell. The old transformation introduced boundary layers inside cells that prevented convergence rates from exceeding \(3.5\) in the global \(L^2\) errors for typical settings. This change also considerably improves mesh quality in situations where curved descriptions are only applied to the boundary -rather than the whole volume. - -\marginpar{This paragraph seems to duplicate the previous. Can we - merge the information?} -Secondly, a new manifold class -\texttt{TransfiniteInterpolationManifold} has been added that implements an -interpolation from a curved boundary description to the interior. -This class enables high-order convergence rates of better than ${\cal O}(h^3)$ -for situations where a curved manifold can only be prescribed -to the boundary but not in a whole volume. +rather than the whole volume. This concept was also introduced as a new manifold class +\texttt{TransfiniteInterpolationManifold}, which allows to apply this type of smoothing not only in the cells close to the boundary but over a full coarse (level 0) cell. Finally, every function in the \texttt{GridGenerator} namespace now attaches a default manifold to -- 2.39.5