I want the refinement to make an error analysis. Nevertheless, when I checked the command “refine,” it did not show how to refine the mesh using in this particular sense. i.e., change the number of intervals in each dimension by 2x, 4x, 8x.
For traditional meshes, it is straightforward, and it is shown how to do it in the demo_poisson.py:
Simply by changing 32 by 32*2 = 64.
I also tried to construct the mesh from scratch following the dolphin tutorial for different subdomains, but there is not an option for my desired refinement.