% This file was created with tikzplotlib v0.9.16.
\begin{tikzpicture}

\definecolor{color0}{rgb}{0,0.0647058823529412,1}
\definecolor{color1}{rgb}{0,0.645098039215686,1}
\definecolor{color2}{rgb}{0.249841872232764,1,0.717900063251107}
\definecolor{color3}{rgb}{0.717900063251107,1,0.249841872232764}
\definecolor{color4}{rgb}{1,0.726942628903413,0}

\begin{axis}[
legend cell align={left},
legend style={
  fill opacity=0.8,
  draw opacity=1,
  text opacity=1,
  at={(1.04,0.5)},
  anchor=west,
  draw=white!80!black
},
log basis x={10},
log basis y={10},
tick align=outside,
tick pos=left,
title={Error for \(\displaystyle u\) at \(\displaystyle t=1.0000\)},
x grid style={white!69.0196078431373!black},
xlabel=\textcolor{red!54.5098039215686!black}{\(\displaystyle h\)},
xmajorgrids,
xmin=0.00317286092326655, xmax=0.307786103336229,
xmode=log,
xtick style={color=black},
xtick={0.0001,0.001,0.01,0.1,1,10},
xticklabels={
  \(\displaystyle {10^{-4}}\),
  \(\displaystyle {10^{-3}}\),
  \(\displaystyle {10^{-2}}\),
  \(\displaystyle {10^{-1}}\),
  \(\displaystyle {10^{0}}\),
  \(\displaystyle {10^{1}}\)
},
y grid style={white!69.0196078431373!black},
ylabel=\textcolor{red!54.5098039215686!black}{\(\displaystyle ||u(T) - u^{N}_{h}||_{H1} / ||u(T)||_{H1}\)},
ymajorgrids,
ymin=1.35208979712643e-05, ymax=0.399141940627442,
ymode=log,
ytick style={color=black},
ytick={1e-06,1e-05,0.0001,0.001,0.01,0.1,1,10},
yticklabels={
  \(\displaystyle {10^{-6}}\),
  \(\displaystyle {10^{-5}}\),
  \(\displaystyle {10^{-4}}\),
  \(\displaystyle {10^{-3}}\),
  \(\displaystyle {10^{-2}}\),
  \(\displaystyle {10^{-1}}\),
  \(\displaystyle {10^{0}}\),
  \(\displaystyle {10^{1}}\)
}
]
\addplot [thick, blue!50!black, mark=triangle*, mark size=3, mark options={solid}]
table {%
0.00390625 2.15870298211043e-05
};
\addlegendentry{$\tau=7.81e-03$}
\addplot [thick, color0, mark=asterisk, mark size=3, mark options={solid}]
table {%
0.00390625 4.05436647309809e-05
};
\addlegendentry{$\tau=1.56e-02$}
\addplot [thick, color1, mark=*, mark size=3, mark options={solid}]
table {%
0.00390625 8.59382058674402e-05
};
\addlegendentry{$\tau=3.12e-02$}
\addplot [thick, color2, mark=+, mark size=3, mark options={solid}]
table {%
0.00390625 0.0001800495169341
};
\addlegendentry{$\tau=6.25e-02$}
\addplot [thick, color3, mark=diamond*, mark size=3, mark options={solid}]
table {%
0.00390625 0.0003688103296809
};
\addlegendentry{$\tau=1.25e-01$}
\addplot [thick, color4, mark=square*, mark size=3, mark options={solid}]
table {%
0.00390625 0.0007339518358597
};
\addlegendentry{$\tau=2.50e-01$}
\addplot [semithick, black, dashed]
table {%
0.0078125 0.0078125
0.015625 0.015625
0.03125 0.03125
0.0625 0.0625
0.125 0.125
0.25 0.25
};
\addlegendentry{linear}
\end{axis}

\end{tikzpicture}
