> We use a residual based error indicator. Therefore we refine the mesh
> globally and use SolutionTransfer to have the eigenvectors on the new
> mesh. Maybe here already a problem occurs (??).

You need to explain in a bit more detail what you do and where the problem 
happens:
- Do you compute the eigenvalues on an adaptively refined mesh? If so, are
  they correct *on this mesh*, and are the eigenvectors?
- If so, I understand that you transfer the solution to a different mesh where
  things are wrong. When you visualize the eigenvectors, do they look wrong?
  How so? Only at hanging nodes?
You should be able to test this on a coarse mesh.

Best
 W.

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

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