We solve here the discretised Plateau's problem.

We consider only surfaces given by functions in two real variables.

You can type in your terminal:

make all

To run the program, write:

./solvePlateau inputname tol maxnbiter outputname

The arguments are, in that order:

• the name of a file with extension .mesh
• the tolerance (a real number)
• the maximum number of iterations (an integer)
• the name of a file, which is supposed to be used by gnuplot later.

The number of used iterations will be displayed.

If you want to plot the results, run gnuplot and type:

splot "outputname" with lines linewidth 0.1

• sources are in src and headers are in hdr
• some meshes are in input : you can test them
• several directories will be created by running the Makefile.

Meshes have been created with FreeFEM++.

See in the associated documentation to know what .mesh files look like.