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set terminal cairolatex pdf color standalone
set output "commute-rtd-t-i-err-l2.tex"
gdat = "commute-rtd-t.gdat"
set log xy
set size square
set key bottom right # at graph 0.38, 0.23
set colors classic
set xrange [1e-3:1]
set yrange [1e-15:1e1]
graph_ratio_xy = 3./16.
set xlabel '[c]{$h$}'
set label '[l]{$\|\boldsymbol{u}-\pi_h(\boldsymbol{u})\|_{0,2,\Omega}$}' at graph 0.03, 0.93
set xtics add (\
'[c]{$10^{-3}$}' 1e-3, \
'[c]{$10^{-2}$}' 1e-2, \
'[c]{$10^{-1}$}' 1e-1, \
'[c]{$1$}' 1)
set ytics (\
'[r]{$10^{-15}$}' 1e-15, \
'[r]{$10^{-10}$}' 1e-10, \
'[r]{$10^{-5}$}' 1e-5, \
'[r]{$1$}' 1)
# triangle a droite
alpha_A = 1.0
slope_A = graph_ratio_xy*alpha_A
xA = 0.20
yA = 0.75
dxA = 0.10
dyA = dxA*slope_A
set label sprintf("[l]{\\scriptsize $%g$}",alpha_A) at graph xA+dxA+0.02, yA+0.5*dyA right
set arrow from graph xA, yA to graph xA+dxA, yA nohead
set arrow from graph xA+dxA, yA to graph xA+dxA, yA+dyA nohead
set arrow from graph xA+dxA, yA+dyA to graph xA, yA nohead
# triangle a droite
alpha_B = 2.0
slope_B = graph_ratio_xy*alpha_B
xB = 0.20
yB = 0.57
dxB = 0.10
dyB = dxB*slope_B
set label sprintf("[l]{\\scriptsize $%g$}",alpha_B) at graph xB+dxB+0.02, yB+0.5*dyB right
set arrow from graph xB, yB to graph xB+dxB, yB nohead
set arrow from graph xB+dxB, yB to graph xB+dxB, yB+dyB nohead
set arrow from graph xB+dxB, yB+dyB to graph xB, yB nohead
# triangle a droite
alpha_C = 3.0
slope_C = graph_ratio_xy*alpha_C
xC = 0.20
yC = 0.39
dxC = 0.10
dyC = dxC*slope_C
set label sprintf("[l]{\\scriptsize $%g$}",alpha_C) at graph xC+dxC+0.02, yC+0.5*dyC right
set arrow from graph xC, yC to graph xC+dxC, yC nohead
set arrow from graph xC+dxC, yC to graph xC+dxC, yC+dyC nohead
set arrow from graph xC+dxC, yC+dyC to graph xC, yC nohead
# triangle a droite
alpha_D = 4.0
slope_D = graph_ratio_xy*alpha_D
xD = 0.20
yD = 0.19
dxD = 0.10
dyD = dxD*slope_D
set label sprintf("[l]{\\scriptsize $%g=k+1$}",alpha_D) at graph xD+dxD+0.02, yD+0.5*dyD right
set arrow from graph xD, yD to graph xD+dxD, yD nohead
set arrow from graph xD+dxD, yD to graph xD+dxD, yD+dyD nohead
set arrow from graph xD+dxD, yD+dyD to graph xD, yD nohead
plot \
gdat \
i 0 \
u (1./$1):4 \
t '[r]{$k=0$}' \
w lp lw 4, \
gdat \
i 1 \
u (1./$1):4 \
t '[r]{$k=1$}' \
w lp lw 4 lc rgb '#008800', \
gdat \
i 2 \
u (1./$1):4 \
t '[r]{$k=2$}' \
w lp lw 4 lc 3, \
gdat \
i 3 \
u (1./$1):4 \
t '[r]{$k=3$}' \
w lp lw 4 lc 4
#pause -1
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