MATLAB: How to refine a subdomain mesh

femeshmeshPartial Differential Equation Toolboxpderefinesubdomain

I'm having issues with refining the Mesh of a Subdomain using R2016a. I'm aware of this question but it does not help with my situation.
I have two subdomains, R1 and E1. I need the R1 mesh to be more refined that E1.
Relevant Model Information:
With 2D geometry (x,y).
The previous answers given to solve this say to return to legacy flow. I'm unable to do this with a parabolic PDE because the legacy solver 'parabolic' does not allow solving on multiple domains.
I can see two possible ways from here:
1) If there was anyway to directly attach [p,e,t] data to a PDEmodel it would make it easy.
2) If there was some way to convert [p,e,t] data to FEMesh object data then the problem would become much simpler. I would take the following steps:
  • Create mesh with initMesh to obtain [p,e,t]
  • Use the legacy function refinemesh to obtain [p1,e1,t1]
  • Convert the newly refined mesh to FEMesh object
  • Solve using pdesolve
A function exists that converts FEMesh object to [p,e,t]: meshToPet. I can't access this function to see how it works; it's just comments.
I've attached a screenshot of the meshToPet function file, can anyone find any other info on how this works? I can't even 'step in' to the file during running.
Thank you for reading!

Best Answer

Both attaching [p,e,t] data to PDEModel and converting a [p,e,t] mesh to FEMesh are not supported. I recommend creating a finer mesh for both R1 and E1 by using the appropriate value of Hmax, if possible.
Also, parabolic works with subdomains:
https://www.mathworks.com/help/pde/ug/scalar-coefficients-in-string-form.html
Regards,
Svetlana Pease
Technical Writer, MathWorks Documentation Group
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