As presented at Penn State on 2021-03-12HEADv1.0master

1 files changed, 37 insertions, 0 deletions

diff --git a/figs/energy_relative_error.fig/cmp_energy1.gnuplot b/figs/energy_relative_error.fig/cmp_energy1.gnuplot
new file mode 100644
index 0000000..c2b1afd
--- /dev/null
+++ b/figs/energy_relative_error.fig/cmp_energy1.gnuplot
@@ -0,0 +1,37 @@
+set title "$v(\\mathbf x)=e^{-|\\mathbf x|}$"
+set ylabel "energy relative error" offset +3
+set xlabel "$\\rho$"
+
+set xtics 1e-6, 100, 100
+set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100)
+unset mxtics
+set xrange [1e-6:1e2]
+
+set ytics 1e-5, 10, 1e-1
+set ytics add ("$10^{-5}$" 1e-5, "$10^{-4}$" 1e-4, "$10^{-3}$" 1e-3, "$10^{-2}$" 1e-2, "$10^{-1}$" 1e-1)
+set yrange [1e-5:1e-1]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+unset key
+
+
+# set linestyle
+set style line 1 linetype rgbcolor "#4169E1" linewidth 2
+set style line 2 linetype rgbcolor "#DC143C" linewidth 2
+set style line 3 linetype rgbcolor "#32CD32" linewidth 2
+set style line 4 linetype rgbcolor "#4B0082" linewidth 2
+set style line 5 linetype rgbcolor "#DAA520" linewidth 2
+
+set pointsize 1
+
+max(x,y)=(x>y ? x : y)
+
+set logscale xy
+
+plot \
+ "simpleq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 1 ,\
+ "bigeq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 4 ,\
+ "2020-10-15+energy.dat" using 1:(max(max(abs($6-$2)/$2,abs($6-$3)/$3),max(abs($7-$2)/$2,abs($7-$3)/$3))) every ::1 with lp ls 2
+