Hi Georg,
as far as I know, you can not get the eigenvalues out of the box.
Dune-ISTL has some eigenvalue computation support.
I'd advice you to hack the DuMuX assembler and print everything into a
Matlab/Octave file. Using their capabilities it's easy to obtain the
eigenvalues.
- you can get the matrix for example in
dumux/implicit/common/implicitassembler.hh at the end of the assemble()
method
- use dune-istl's Dune::writeMatrixToMatlab

Bye
Christoph

-- 
... as Sir Cyril Hinshelwood has observed ...fluid dynamicists
were divided into hydraulic engineers who observed things that
could not be explained and mathematicians who explained things
that could not be observed.                 -- James Lighthill
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