mpi_test.py doesn't run, fenics_mpi_example runs with mpirun -n 4 python3 fenics_mpi_example.py
and scales well with number of cores. mpi_test.py gives error point outside domain when run in
parallel, but works well single core.

Outside is not so important, as long as >100 points. Inside close to r=0 also not sensitive, but getting closer (> 75% * R) to boundary needs better mesh. Presumably due to high initial gradient.

For visualization check emails with Christoph Geuzaine.
Also, Coherence; and Mesh.Algorithm = 5; are two very powerful options.

Solve Phi_u for choosen initial conditions (Full frap, half frap) and for choosen dimension (3D,2D or like 1D). Comparison with matlab results for full FRAP, Root mean square, computing time. Video possible

Create many non-overlapping spheres in a box, write to file for easy copying into
.geo file. After creation of .msh file this can be converted to .xdmf which is suitable
for parallel use.