From 04cf7cbea17f412932c2d0150275f3b9c9f5a3b5 Mon Sep 17 00:00:00 2001 From: Martin Kronbichler Date: Sun, 5 Mar 2017 15:15:07 +0100 Subject: [PATCH] Improve text --- 8.5/paper.tex | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/8.5/paper.tex b/8.5/paper.tex index f39f494..05cdf9e 100755 --- a/8.5/paper.tex +++ b/8.5/paper.tex @@ -156,7 +156,7 @@ This data is treated as a first-class citizen to \dealii{} and, when used in con \item Various improvements for high-order elements, including a switch of support points in \texttt{FE\_Q} and \texttt{FE\_DGQ} to Gauss--Lobatto - support points, more stable evaluation of Legendre polynomials, and several + support points, stable evaluation of high-order Legendre polynomials, and several bugfixes for high-order polynomial mappings defined through the \texttt{MappingQ} class. @@ -271,8 +271,6 @@ nprocs newdg256k newdg2m newdg16m olddg256k olddg2m olddg16m height=0.5\textwidth, xlabel={Number of cores}, ylabel={Solver time [s]}, - x label style={at={(0.5,0.02)}}, - y label style={at={(0.05,0.5)}}, xtick={32,128,512,2048,8192,32768,147456}, xticklabels={32,128,512,2048,8192,32k,147k}, tick label style={font=\scriptsize}, @@ -319,11 +317,10 @@ nprocs newdg256k newdg2m newdg16m olddg256k olddg2m olddg16m \begin{tikzpicture} \begin{loglogaxis}[ title style={at={(1,0.965)},anchor=north east,draw=black,fill=white,font=\scriptsize\bf}, - title={$256^3$ mesh, discontinuous $\mathcal Q_3$ elements}, + title={discontinuous $\mathcal Q_3$ elements}, width=0.48\textwidth, height=0.5\textwidth, xlabel={Number of cores}, - x label style={at={(0.5,0.02)}}, xtick={56,224,896,3584,14336}, xticklabels={56,224,896,3584,14336}, tick label style={font=\scriptsize}, @@ -403,9 +400,9 @@ works in parallel with MPI. High-order Lagrange elements, both continuous \verb!FE_Q! and discontinuous \verb!FE_DGQ! types, now use the nodal points of the Gauss--Lobatto quadrature formula as support points, rather than the previous equidistant -ones. For cubic polynomials and higher, the point distribution has changed and -thus the entries in solution vectors will look different now. Note, however, -that using the Gauss--Lobatto points as nodal points results in much more +ones. For cubic polynomials and higher, the point distribution has thus changed and +thus the entries in solution vectors will look different as compared to the previous version. Note, however, +that using the Gauss--Lobatto points as nodal points results in a much more stable interpolation, including better iteration counts in most iterative solvers. -- 2.39.5