On 11/30/2017 05:47 PM, Bruno Turcksin wrote:

In step-36, there is an explanation on how Dirichlet boundary conditions introduce spurious eigenvalues because some dofs are constrained. However, there is no mention of hanging nodes. So I am wondering if I can treat them as shown for the Dirichlet boundary, i.e, the only difference between a hanging node and a Dirichlet is what happens in ConstraintMatrix::distribute().

Yes, I think this is correct -- you're going to have a row in the eigenvalue equation where both matrices have an entry on the diagonal. You can set these values to whatever you want and that's what's going to determine the size of the spurious eigenvalue.


I also wonder if there is a way to avoid having these spurious eigenvalues computed

They're always going to be there because we keep constrained nodes in the linear system.

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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