MATLAB: How to refine a subdomain in the PDE Toolbox mesh generation tool

meshmesh generationmesh refinementPartial Differential Equation Toolboxpdepde toolbox

Hello,

I would like to refine a part of my domain without refining the whole mesh. Say for example that I have a unit square domain R1, which contains a circular sub-domain E1. Can I refine only E1 up to a desired element size, without imposing the same mesh size in the rest of the domain?

Best Answer

I assume your problem is in 2D, then refinemesh function accepts an extra input argument "it", that is interpreted as a list of subdomains to refine, if it is a row vector.

See. http://jp.mathworks.com/help/pde/ug/refinemesh.html

Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

One should be able to specify boundary conditions on all external boundaries of any geometry.

 For example, look at the “A scattering problem” example in the documentation. It has a Neumann condition at the outer boundary and a Dirichlet condition at the inner boundary (that is formed by the square sub-region).

Boundary conditions on internal boundaries such as boundaries across which material properties or governing equations might change are not required by Finite Element method.

MATLAB: How to refine a subdomain mesh

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

Best Answer

Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

MATLAB: How to refine a subdomain mesh

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