Hi Bruno,

AFAIK, there is a simple solution: make initial vector (or subspace) 
perpendicular to those constrained entries. 
That is, if you do Lancoz, set random initial vector and then zero out 
constrained DoFs. 
Then being Krylov-based method it should form subspaces {x, Ax, A^2x,...} 
orthogonal to those constrained DoFs, so 
you should not get any issues.

Cheers,
Denis.

On Thursday, November 30, 2017 at 4:24:05 PM UTC+1, Bruno Turcksin wrote:
>
>
> Hi all,
>
> 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(). I also wonder if there is a way to avoid 
> having these spurious eigenvalues computed or if the only way to deal with 
> them is to redo the calculation after changing the entries in the matrix.
>
> Best,
>
> Bruno
>

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