# to unbundle, sh this file (in an empty directory) mkdir graphics echo graphics/README 1>&2 sed >graphics/README <<'//GO.SYSIN DD graphics/README' 's/^-//' -This directory contains some examples of how you can use gnuplot for -postprocessing graphics using the three (optional) MGGHAT output data -files gptri.dat, gpsol.dat and gpconv.dat. Examples of these files -are provided for testing. See the user's guide in mgghat/doc for how -to create these files. The example files here should match those -that you would generate using the Poisson example. You may have to -uncompress them with the unix uncompress command, for example -"uncompress *.dat.Z" - -In this directory, the suffix .gps is used for GnuPlot Script. They can -be invoked within gnuplot using the command "load 'filename.gps'". These -are meant to be educational examples and are kept simple by setting only -the options that do not take on their default values. Since the options -set by one script may be incorrect in another script, you can only load -one file within a single execution of gnuplot, i.e., you must quit from -gnuplot and start gnuplot again to load a second file. - -The examples are: - -contour.gps -- a contour plot of the computed solution -facets.gps -- the computed solution as facets -converge.gps -- a log-log plot of error vs. nodes with both the - computed error and error estimate -solution.gps -- a surface plot of the computed solution with hidden lines -triangle.gps -- a drawing of the triangulation (finite element mesh) -sol_and_tri.gps -- a surface plot of the solution with the triangulation - drawn below it - -These scripts were tested under gnuplot Version 3.5. If you don't -have gnuplot, see the user's guide for how to obtain it. - ----- - -William F. Mitchell -mitchell@cam.nist.gov -na.wmitchell@na-net.ornl.gov //GO.SYSIN DD graphics/README echo graphics/solution.gps 1>&2 sed >graphics/solution.gps <<'//GO.SYSIN DD graphics/solution.gps' 's/^-//' -# plot computed solution as a surface with hidden lines -set hidden -set nokey -set title 'computed solution' -set noxtics -set noytics -splot 'gpsol.dat' using 3 with lines //GO.SYSIN DD graphics/solution.gps echo graphics/sol_and_tri.gps 1>&2 sed >graphics/sol_and_tri.gps <<'//GO.SYSIN DD graphics/sol_and_tri.gps' 's/^-//' -# plot solution as a surface and triangulation on the base -set parametric -set title 'solution and triangulation' -set nokey -set ticslevel 0 -set view 70,30 -splot "gpsol.dat" with lines 1, "gptri.dat" using 1:2:6 with lines 3 //GO.SYSIN DD graphics/sol_and_tri.gps echo graphics/converge.gps 1>&2 sed >graphics/converge.gps <<'//GO.SYSIN DD graphics/converge.gps' 's/^-//' -# convergence plot of energy error and error estimate vs. nodes -set logscale xy -set title 'convergence graph' -set xlabel 'number of nodes' -set ylabel 'error' 1,-3 -plot 'gpconv.dat' using 1:4 title 'error' with lines,\ - 'gpconv.dat' using 1:5 title 'estimate' with lines //GO.SYSIN DD graphics/converge.gps echo graphics/gptri.dat 1>&2 sed >graphics/gptri.dat <<'//GO.SYSIN DD graphics/gptri.dat' 's/^-//' -# This file was created by MGGHAT Version 1.1 -# It contains information about the triangulation. -# Each group of 4 pairs of numbers is the vertices of a -# triangle with the first vertex repeated as the 4th line. -# The first vertex of the first triangle is included twice -# so that the file does not look like grid data to gnuplot. -# The third and fourth numbers are the computed and true solutions -# The fifth number is the error = computed - true. -# The sixth number is slightly less than the minimum. - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 4.3750E-01 4.3750E-01 3.2648E-02 3.2057E-02 5.9143E-04 -5.0000E-01 - 4.3750E-01 5.0000E-01 4.8993E-02 4.7278E-02 1.7149E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 4.3750E-01 4.3750E-01 3.2648E-02 3.2057E-02 5.9143E-04 -5.0000E-01 - 5.0000E-01 4.3750E-01 4.9139E-02 4.7278E-02 1.8604E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 4.3750E-01 5.0000E-01 4.8993E-02 4.7278E-02 1.7149E-03 -5.0000E-01 - 4.6875E-01 5.3125E-01 6.6875E-02 6.4946E-02 1.9286E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.0000E-01 5.6250E-01 8.8515E-02 8.7564E-02 9.5101E-04 -5.0000E-01 - 4.6875E-01 5.3125E-01 6.6875E-02 6.4946E-02 1.9286E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.0000E-01 4.3750E-01 4.9139E-02 4.7278E-02 1.8604E-03 -5.0000E-01 - 5.3125E-01 4.6875E-01 6.7020E-02 6.4946E-02 2.0741E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.6250E-01 5.0000E-01 8.8663E-02 8.7564E-02 1.0991E-03 -5.0000E-01 - 5.3125E-01 4.6875E-01 6.7020E-02 6.4946E-02 2.0741E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.0000E-01 5.6250E-01 8.8515E-02 8.7564E-02 9.5101E-04 -5.0000E-01 - 5.3125E-01 5.3125E-01 8.6502E-02 8.4630E-02 1.8717E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - 5.6250E-01 5.0000E-01 8.8663E-02 8.7564E-02 1.0991E-03 -5.0000E-01 - 5.3125E-01 5.3125E-01 8.6502E-02 8.4630E-02 1.8717E-03 -5.0000E-01 - 5.0000E-01 5.0000E-01 6.3464E-02 6.2500E-02 9.6351E-04 -5.0000E-01 - - 1.0000E+00 1.0000E+00 2.0000E+00 2.0000E+00 0.0000E+00 -5.0000E-01 - 9.8438E-01 9.8438E-01 1.8488E+00 1.8486E+00 2.1606E-04 -5.0000E-01 - 9.8438E-01 1.0000E+00 1.9243E+00 1.9243E+00 0.0000E+00 -5.0000E-01 - 1.0000E+00 1.0000E+00 2.0000E+00 2.0000E+00 0.0000E+00 -5.0000E-01 - - 1.0000E+00 1.0000E+00 2.0000E+00 2.0000E+00 0.0000E+00 -5.0000E-01 - 1.0000E+00 9.6875E-01 1.8523E+00 1.8532E+00 -9.6486E-04 -5.0000E-01 - 9.8438E-01 9.8438E-01 1.8488E+00 1.8486E+00 2.1606E-04 -5.0000E-01 - 1.0000E+00 1.0000E+00 2.0000E+00 2.0000E+00 0.0000E+00 -5.0000E-01 - - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - 5.3125E-01 1.0000E+00 1.0423E+00 1.0423E+00 0.0000E+00 -5.0000E-01 - 5.1562E-01 9.8438E-01 9.6075E-01 9.6073E-01 2.0123E-05 -5.0000E-01 - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - - 1.0000E+00 0.0000E+00 1.0013E+00 1.0000E+00 1.2912E-03 -5.0000E-01 - 9.8438E-01 1.5625E-02 9.2534E-01 9.2428E-01 1.0634E-03 -5.0000E-01 - 9.8438E-01 0.0000E+00 9.2582E-01 9.2428E-01 1.5464E-03 -5.0000E-01 - 1.0000E+00 0.0000E+00 1.0013E+00 1.0000E+00 1.2912E-03 -5.0000E-01 - - 1.0000E+00 0.0000E+00 1.0013E+00 1.0000E+00 1.2912E-03 -5.0000E-01 - 1.0000E+00 3.1250E-02 1.0014E+00 1.0000E+00 1.3655E-03 -5.0000E-01 - 9.8438E-01 1.5625E-02 9.2534E-01 9.2428E-01 1.0634E-03 -5.0000E-01 - 1.0000E+00 0.0000E+00 1.0013E+00 1.0000E+00 1.2912E-03 -5.0000E-01 - - 0.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 0.0000E+00 -5.0000E-01 - 1.5625E-02 9.8438E-01 9.2395E-01 9.2428E-01 -3.2864E-04 -5.0000E-01 - 0.0000E+00 9.8438E-01 9.2428E-01 9.2428E-01 0.0000E+00 -5.0000E-01 - 0.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 0.0000E+00 -5.0000E-01 - - 0.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 0.0000E+00 -5.0000E-01 - 3.1250E-02 1.0000E+00 1.0000E+00 1.0000E+00 0.0000E+00 -5.0000E-01 - 1.5625E-02 9.8438E-01 9.2395E-01 9.2428E-01 -3.2864E-04 -5.0000E-01 - 0.0000E+00 1.0000E+00 1.0000E+00 1.0000E+00 0.0000E+00 -5.0000E-01 - - 0.0000E+00 5.0000E-01 3.1250E-02 3.1250E-02 0.0000E+00 -5.0000E-01 - 6.2500E-02 5.6250E-01 5.6010E-02 5.6314E-02 -3.0476E-04 -5.0000E-01 - 0.0000E+00 5.6250E-01 5.6314E-02 5.6314E-02 0.0000E+00 -5.0000E-01 - 0.0000E+00 5.0000E-01 3.1250E-02 3.1250E-02 0.0000E+00 -5.0000E-01 - - 5.0000E-01 0.0000E+00 3.2285E-02 3.1250E-02 1.0345E-03 -5.0000E-01 - 5.6250E-01 6.2500E-02 5.7131E-02 5.6314E-02 8.1638E-04 -5.0000E-01 - 5.6250E-01 0.0000E+00 5.7793E-02 5.6314E-02 1.4790E-03 -5.0000E-01 - 5.0000E-01 0.0000E+00 3.2285E-02 3.1250E-02 1.0345E-03 -5.0000E-01 - - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - 5.1562E-01 9.8438E-01 9.6075E-01 9.6073E-01 2.0123E-05 -5.0000E-01 - 5.0000E-01 9.8438E-01 9.5601E-01 9.5553E-01 4.8455E-04 -5.0000E-01 - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - 4.8438E-01 9.8438E-01 9.5093E-01 9.5094E-01 -7.5950E-06 -5.0000E-01 - 5.0000E-01 9.8438E-01 9.5601E-01 9.5553E-01 4.8455E-04 -5.0000E-01 - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - 9.8438E-01 5.1562E-01 9.6241E-01 9.6073E-01 1.6826E-03 -5.0000E-01 - 9.8438E-01 5.0000E-01 9.5769E-01 9.5553E-01 2.1597E-03 -5.0000E-01 - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - 9.8438E-01 4.8438E-01 9.5261E-01 9.5094E-01 1.6682E-03 -5.0000E-01 - 9.8438E-01 5.0000E-01 9.5769E-01 9.5553E-01 2.1597E-03 -5.0000E-01 - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - 1.0000E+00 5.3125E-01 1.0441E+00 1.0423E+00 1.7505E-03 -5.0000E-01 - 9.8438E-01 5.1562E-01 9.6241E-01 9.6073E-01 1.6826E-03 -5.0000E-01 - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - 7.8125E-01 7.8125E-01 5.8207E-01 5.8208E-01 -5.8142E-06 -5.0000E-01 - 7.5000E-01 7.8125E-01 5.2983E-01 5.2834E-01 1.4885E-03 -5.0000E-01 - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - 7.8125E-01 7.8125E-01 5.8207E-01 5.8208E-01 -5.8142E-06 -5.0000E-01 - 7.8125E-01 7.5000E-01 5.2994E-01 5.2834E-01 1.5989E-03 -5.0000E-01 - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - 7.1875E-01 7.8125E-01 4.8292E-01 4.8286E-01 6.5219E-05 -5.0000E-01 - 7.5000E-01 7.8125E-01 5.2983E-01 5.2834E-01 1.4885E-03 -5.0000E-01 - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - 7.1875E-01 7.8125E-01 4.8292E-01 4.8286E-01 6.5219E-05 -5.0000E-01 - 7.1875E-01 7.5000E-01 4.3060E-01 4.2912E-01 1.4765E-03 -5.0000E-01 - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - - 7.5000E-01 1.0000E+00 1.2373E+00 1.2373E+00 0.0000E+00 -5.0000E-01 - 7.8125E-01 1.0000E+00 1.2910E+00 1.2910E+00 0.0000E+00 -5.0000E-01 - 7.6562E-01 9.8438E-01 1.1877E+00 1.1874E+00 3.8310E-04 -5.0000E-01 - 7.5000E-01 1.0000E+00 1.2373E+00 1.2373E+00 0.0000E+00 -5.0000E-01 - - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - 1.0000E+00 4.6875E-01 1.0244E+00 1.0226E+00 1.7764E-03 -5.0000E-01 - 9.8438E-01 4.8438E-01 9.5261E-01 9.5094E-01 1.6682E-03 -5.0000E-01 - 1.0000E+00 5.0000E-01 1.0330E+00 1.0312E+00 1.7634E-03 -5.0000E-01 - - 7.5000E-01 2.5000E-01 2.3954E-01 2.3828E-01 1.2611E-03 -5.0000E-01 - 7.5000E-01 1.8750E-01 2.3877E-01 2.3754E-01 1.2359E-03 -5.0000E-01 - 7.8125E-01 2.1875E-01 2.9235E-01 2.9154E-01 8.1302E-04 -5.0000E-01 - 7.5000E-01 2.5000E-01 2.3954E-01 2.3828E-01 1.2611E-03 -5.0000E-01 - - 7.5000E-01 2.5000E-01 2.3954E-01 2.3828E-01 1.2611E-03 -5.0000E-01 - 7.8125E-01 2.1875E-01 2.9235E-01 2.9154E-01 8.1302E-04 -5.0000E-01 - 7.8125E-01 2.5000E-01 2.9389E-01 2.9201E-01 1.8707E-03 -5.0000E-01 - 7.5000E-01 2.5000E-01 2.3954E-01 2.3828E-01 1.2611E-03 -5.0000E-01 - - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - 4.6875E-01 1.0000E+00 1.0226E+00 1.0226E+00 0.0000E+00 -5.0000E-01 - 4.8438E-01 9.8438E-01 9.5093E-01 9.5094E-01 -7.5950E-06 -5.0000E-01 - 5.0000E-01 1.0000E+00 1.0312E+00 1.0312E+00 0.0000E+00 -5.0000E-01 - - 2.5000E-01 7.5000E-01 2.3849E-01 2.3828E-01 2.0861E-04 -5.0000E-01 - 1.8750E-01 7.5000E-01 2.3766E-01 2.3754E-01 1.2353E-04 -5.0000E-01 - 2.1875E-01 7.8125E-01 2.9120E-01 2.9154E-01 -3.4369E-04 -5.0000E-01 - 2.5000E-01 7.5000E-01 2.3849E-01 2.3828E-01 2.0861E-04 -5.0000E-01 - - 2.5000E-01 7.5000E-01 2.3849E-01 2.3828E-01 2.0861E-04 -5.0000E-01 - 2.1875E-01 7.8125E-01 2.9120E-01 2.9154E-01 -3.4369E-04 -5.0000E-01 - 2.5000E-01 7.8125E-01 2.9276E-01 2.9201E-01 7.4193E-04 -5.0000E-01 - 2.5000E-01 7.5000E-01 2.3849E-01 2.3828E-01 2.0861E-04 -5.0000E-01 - - 0.0000E+00 7.5000E-01 2.3730E-01 2.3730E-01 0.0000E+00 -5.0000E-01 - 3.1250E-02 7.8125E-01 2.9036E-01 2.9104E-01 -6.8165E-04 -5.0000E-01 - 0.0000E+00 7.8125E-01 2.9104E-01 2.9104E-01 0.0000E+00 -5.0000E-01 - 0.0000E+00 7.5000E-01 2.3730E-01 2.3730E-01 0.0000E+00 -5.0000E-01 - - 7.5000E-01 7.5000E-01 4.7477E-01 4.7461E-01 1.5809E-04 -5.0000E-01 - 7.8125E-01 7.1875E-01 4.8313E-01 4.8286E-01 2.7623E-04 -5.0000E-01 - 7.5000E-01 7.1875E-01 4.3070E-01 4.2912E-01 1.5791E-03 -5.0000E-01 - 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