Commit 6d2092bb authored by Jakub Klinkovský's avatar Jakub Klinkovský
Browse files

updated mesh properties - removed mesh size for polygonal and polyhedral meshes

parent 4b37471f
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+2 −3
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@@ -756,20 +756,19 @@ The properties of the dual meshes are summarized in \cref{tab:meshes poly}.

\begin{table}[bt]
    \caption{Hardware used for the computation of benchmarks \cite{intel:2017XeonGold,nvidia:2017V100}. The cluster is operated by the \emph{Research Center for Informatics} (\url{http://rci.cvut.cz/}).}
    %        \caption{Hardware used for the computation of benchmarks. The Intel Turbo Boost technology was disabled during all computations.}
    \label{tab:hardware}
    \centering
    \input{./data/hardware_table_rci_v100.tex}
\end{table}

\begin{table}[bt]
    \caption{Properties of the triangular (2D$^\triangle_\iota$) and tetrahedral (3D$^\triangle_\iota$) meshes used in the benchmarks: mesh size $h$, number of vertices $\# \mathcal V$, number of faces $\# \mathcal F$, and number of cells $\# \mathcal C$.}
    \caption{Properties of the triangular (2D$^\triangle_\iota$) and tetrahedral (3D$^\triangle_\iota$) meshes used in the benchmarks: mesh size $h$ (radius of the largest sphere circumscribed around a cell), number of vertices $\# \mathcal V$, number of faces $\# \mathcal F$, and number of cells $\# \mathcal C$.}
    \label{tab:meshes}
    \centering
    \input{./data/meshes/meshes.tex}
\end{table}
\begin{table}[bt]
    \caption{Properties of the polygonal (2D$^\ast_\iota$) and polyhedral (3D$^\ast_\iota$) meshes used in the benchmarks: mesh size $h$, number of vertices $\# \mathcal V$, number of faces $\# \mathcal F$, number of cells $\# \mathcal C$, average number of subvertices per cell $\# \mathcal{VC}$, average number of vertices per face $\# \mathcal{VF}$, and average number of faces per cell $\# \mathcal{FC}$.}
    \caption{Properties of the polygonal (2D$^\ast_\iota$) and polyhedral (3D$^\ast_\iota$) meshes used in the benchmarks: number of vertices $\# \mathcal V$, number of faces $\# \mathcal F$, number of cells $\# \mathcal C$, average number of subvertices per cell $\# \mathcal{VC}$, average number of vertices per face $\# \mathcal{VF}$, and average number of faces per cell $\# \mathcal{FC}$.}
    \label{tab:meshes poly}
    \centering
    \input{./data/meshes/meshes_poly.tex}
+4 −2
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@@ -57,8 +57,10 @@ def make_table(filename):
    column_types, _, places_after = plt.get_column_types(df, hide_nans=True)
    # replace the column types
    column_types = column_types.split()
    column_types = " ".join(["N{1}{2}", *column_types[1:-3], "N{3}{1}", "N{2}{1}", "N{3}{1}"])
    data_formats = ["{:.2e}"] + ["{:.0f}"] * 3 + ["{:.1f}"] * 3
#    column_types = " ".join(["N{1}{2}", *column_types[1:-3], "N{3}{1}", "N{2}{1}", "N{3}{1}"])
#    data_formats = ["{:.2e}"] + ["{:.0f}"] * 3 + ["{:.1f}"] * 3
    column_types = " ".join([*column_types[:-3], "N{3}{1}", "N{2}{1}", "N{3}{1}"])
    data_formats = ["{:.0f}"] * 3 + ["{:.1f}"] * 3

    # output to LaTeX
    output_file = basename + ".tex"
+11 −11
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"dim"	"ID"	"h"	"N_V"	"N_F"	"N_C"	"N_VpC"	"N_VpF"	"N_FpC"
"2D"	"mesh_1"	0.121543	322	463	142	5.95775	2	5.95775
"2D"	"mesh_2"	0.0620777	1104	1616	513	5.9883	2	5.9883
"2D"	"mesh_3"	0.0303481	4034	5971	1938	5.9969	2	5.9969
"2D"	"mesh_4"	0.0159951	15428	22982	7555	5.99921	2	5.99921
"2D"	"mesh_5"	0.00781433	60616	90604	29989	5.9998	2	5.9998
"3D"	"cube1m_1"	0.336632	2018	2410	395	18.4253	4.98423	11.2127
"3D"	"cube1m_2"	0.191613	4535	5356	824	20.8908	5.06236	12.4454
"3D"	"cube1m_3"	0.100748	32811	38548	5740	22.2902	5.10268	13.1451
"3D"	"cube1m_4"	0.051774	252930	296220	43293	23.072	5.1221	13.536
"3D"	"cube1m_5"	0.0261835	1989563	2326168	336608	23.4917	5.13152	13.7459
"dim"	"ID"	"N_V"	"N_F"	"N_C"	"N_VpC"	"N_VpF"	"N_FpC"
"2D"	"mesh_1"	322	463	142	5.95775	2	5.95775
"2D"	"mesh_2"	1104	1616	513	5.9883	2	5.9883
"2D"	"mesh_3"	4034	5971	1938	5.9969	2	5.9969
"2D"	"mesh_4"	15428	22982	7555	5.99921	2	5.99921
"2D"	"mesh_5"	60616	90604	29989	5.9998	2	5.9998
"3D"	"cube1m_1"	2018	2410	395	18.4253	4.98423	11.2127
"3D"	"cube1m_2"	4535	5356	824	20.8908	5.06236	12.4454
"3D"	"cube1m_3"	32811	38548	5740	22.2902	5.10268	13.1451
"3D"	"cube1m_4"	252930	296220	43293	23.072	5.1221	13.536
"3D"	"cube1m_5"	1989563	2326168	336608	23.4917	5.13152	13.7459
−678 B (13.6 KiB)

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+12 −13
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@@ -8,13 +8,12 @@
%   \usepackage{stackengine}
%   \usepackage[np]{numprint}

\begin{tabular}{rrN{1}{2} N{7}{0} N{7}{0} N{6}{0} N{3}{1} N{2}{1} N{3}{1}}
\begin{tabular}{rrN{7}{0} N{7}{0} N{6}{0} N{3}{1} N{2}{1} N{3}{1}}
\toprule

% header row 0
\multicolumn{1}{c}{}
  &  \multicolumn{1}{c}{Id.}
  &  \multicolumn{1}{c}{$h \; [\text{m}]$}
  &  \multicolumn{1}{c}{$\# \mathcal V$}
  &  \multicolumn{1}{c}{$\# \mathcal F$}
  &  \multicolumn{1}{c}{$\# \mathcal C$}
@@ -27,35 +26,35 @@


\multirow{5}{*}{}  &  2D$^\ast_1$  &  
1.22e-1  &  322  &  463  &  142  &  6.0  &  2.0  &  6.0 \\
322  &  463  &  142  &  6.0  &  2.0  &  6.0 \\

  &  2D$^\ast_2$  &  
6.21e-2  &  1104  &  1616  &  513  &  6.0  &  2.0  &  6.0 \\
1104  &  1616  &  513  &  6.0  &  2.0  &  6.0 \\

  &  2D$^\ast_3$  &  
3.03e-2  &  4034  &  5971  &  1938  &  6.0  &  2.0  &  6.0 \\
4034  &  5971  &  1938  &  6.0  &  2.0  &  6.0 \\

  &  2D$^\ast_4$  &  
1.60e-2  &  15428  &  22982  &  7555  &  6.0  &  2.0  &  6.0 \\
15428  &  22982  &  7555  &  6.0  &  2.0  &  6.0 \\

  &  2D$^\ast_5$  &  
7.81e-3  &  60616  &  90604  &  29989  &  6.0  &  2.0  &  6.0 \\
                \cline{1-9}\noalign{\smallskip}
60616  &  90604  &  29989  &  6.0  &  2.0  &  6.0 \\
                \cline{1-8}\noalign{\smallskip}

\multirow{5}{*}{}  &  3D$^\ast_1$  &  
3.37e-1  &  2018  &  2410  &  395  &  18.4  &  5.0  &  11.2 \\
2018  &  2410  &  395  &  18.4  &  5.0  &  11.2 \\

  &  3D$^\ast_2$  &  
1.92e-1  &  4535  &  5356  &  824  &  20.9  &  5.1  &  12.4 \\
4535  &  5356  &  824  &  20.9  &  5.1  &  12.4 \\

  &  3D$^\ast_3$  &  
1.01e-1  &  32811  &  38548  &  5740  &  22.3  &  5.1  &  13.1 \\
32811  &  38548  &  5740  &  22.3  &  5.1  &  13.1 \\

  &  3D$^\ast_4$  &  
5.18e-2  &  252930  &  296220  &  43293  &  23.1  &  5.1  &  13.5 \\
252930  &  296220  &  43293  &  23.1  &  5.1  &  13.5 \\

  &  3D$^\ast_5$  &  
2.62e-2  &  1989563  &  2326168  &  336608  &  23.5  &  5.1  &  13.7 \\
1989563  &  2326168  &  336608  &  23.5  &  5.1  &  13.7 \\

\bottomrule
\end{tabular}