Handling Dirichlet Boundary conditions with Hanging Nodes

[Phani Motamarri]

Hi,

I have a general query. Is there anything I should be particularly careful when I have to handle non-homogenous dirichlet boundary on a mesh with hanging nodes on the boundary? I am working in the matrix-free data structure format. I am trying to impose non-homogenous boundary conditions on the non-hanging nodes using static condensation and allowing the hanging nodes to be handled using its hanging node constraint equation without treating it explicitly as a boundary nodes.

Am I missing anything in my thought process here?

Please let me know your inputs.

Regards

Phani

[Daniel Arndt]

Phani,

I have a general query. Is there anything I should be particularly careful when I have to handle non-homogenous dirichlet boundary on a mesh with hanging nodes on the boundary? I am working in the matrix-free data structure format. I am trying to impose non-homogenous boundary conditions on the non-hanging nodes using static condensation and allowing the hanging nodes to be handled using its hanging node constraint equation without treating it explicitly as a boundary nodes.

Have a look at the newest version of the documentation of step-37. There is a special section talking about inhomogeneous boundary conditions in the MatrixFree framework.

In general, treating homogeneous boundary conditions should not be a problem, but you have to be careful about inhomogeneous ones.

Best,

Daniel

[Phani Motamarri]

Thanks Daniel for pointing me to this!

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