Introduction:

Simplicial meshes could be:

• a triangular mesh in dimension 2, made with 2-simplices (ie. triangles),
• a tetrahedral mesh in dimension 3, made with 3-simplices (ie. tetrahedron),
• a triangular mesh in dimension 3 (surface mesh), made with 2-simplices,
• a line mesh in dimension 2 or 3 made with 1-simplices (ie. lines).

A simplicial mesh is given by its vertices array q and its connectivity array me For demonstration purpose, some simplicial meshes are given in this package. They can be load by using the function getMesh2D, getMesh3D or getMesh3Ds of the fc_matplotlib4mesh.demos module.

Documentation is available on fc_matplotlib4mesh dedicated web page.

Installation:

The fc_matplotlib4mesh Python package is available from the Python Package Index, so to install/upgrade simply type

pip install fc_matplotlib4mesh -U

Thereafter, it's possible to run one of the demo functions

import fc_matplotlib4mesh
fc_matplotlib4mesh.demos.plot3D()

import fc_matplotlib4mesh
fc_matplotlib4mesh.demos.plot2D()

Example:

There is a complete source code used to represent the function

on the upper half of a sphere.

import matplotlib.pyplot as plt
from fc_tools.Matplotlib import set_axes_equal
import fc_matplotlib4mesh as plt4sim
from fc_matplotlib4mesh.demos import getMesh3Ds
import numpy as np
q2,me2=getMesh3Ds(2)
q1,me1=getMesh3Ds(1)
f=lambda x,y,z: np.cos(3*x-1)*np.sin(2*y-2)*np.sin(3*z)
u2=f(q2[0],q2[1],q2[2])
u1=f(q1[0],q1[1],q1[2])
plt.ion()
plt.figure(1)
pp=plt4sim.plot(q2,me2,u2)
plt4sim.plotmesh(q1,me1,color='Black',linewidths=2)
plt.colorbar(pp)
plt.axis('off')
set_axes_equal()
plt.figure(2)
pp=plt4sim.plot(q1,me1,u1,linewidths=2,vmin=min(u2),vmax=max(u2))
plt4sim.plotmesh(q2,me2,color='LightGray',alpha=0.1)
plt.colorbar(pp)
plt.axis('off')
set_axes_equal()