Hi!

I have solved a PDE generalized eigenproblem (A*v = lambda*B*v) in
libmesh, but I would like to do some linear algebra computations that
involves the A and B matrices, some of the eigenvectors v, as well as
A2/B2-matrices that arise from a different type of discretization of the
same PDE.

I guess I will probably have to create a second EigenSystem in order to
create A2 and B2, but how can I perform linear algebra computations
involving all of these matrices and vectors?

Are there any known libmesh examples where computations such as v^T*A2*v
are done, where v is an eigenvector from the A/B generalized
eigenproblem, and A2 comes from a different eigenproblem?

Is it possible to get access to A/B/v/A2/B2 as PETSc-objects that can be
manipulated freely using PETSc functions?

Best regards and thanks!
Torquil Sørensen


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