I would like to refine a 2D mesh in the pde toolbox using the "new" flow. I am basically looking for the new version of the old function "refinemesh"

I would like to refine a 2D mesh in the pde toolbox using the "new" flow. I am basically looking for the new version of the old function "refinemesh"

[Mahmoud Abdullah]

Hi, Devin

I still ask the same question. Now, if you have any answer for your question, please provide us.

Answer 1

[Alan Weiss]

Sorry, the new way to do it is to construct an entirely new mesh using generateMesh using a smaller Hmax value. It is indeed different than using refinemesh, but I believe that it should work as well.

Alan Weiss

MATLAB mathematical toolbox documentation

[Devin Crawford]

Alan, thanks for the answer. However, this doesn't seem straight forward. I created the model object and used the new flow to create a mesh. However, I subsequently refine my mesh to be non-uniform. There are regions that require a very fine mesh that is then graded. I also use my own solver so I plan to estimate a local upper error bound and use this to subsequently refine the mesh. With refinemesh I can specify specific triangles that should be refined. This is what I need. Thanks in advance for your assistance.

Devin Crawford

[Alan Weiss]

Indeed, this doesn't seem straightforward. You can extract the mesh using meshToPet, then use refinemesh as you like. But your PDEModel object will no longer contain the mesh, so you would have to use the older workflow from there on.

Alan Weiss

MATLAB mathematical toolbox documentation

[Paul Safier]

What if you want to refine the mesh in only one direction? I have a 3D cube and I want a finer mesh in only the z-direction. Can I do this and solve with the PDE Toolbox?