On 5/30/24 09:55, Najwa Alshehri wrote:

The problem arises when comparing the inf-sup constants obtained using Matlab and dealii (solving on the same mesh ):

 1. Matlab: Using the "eig" solver, the inf-sup constant decays to zero as the
    mesh is refined.
 2. deal.II: Using the "ArpackSolver", the inf-sup constant is bounded away
    from zero.

The discrepancy is puzzling, as both methods should give consistent results. To illustrate this issue, I have attached a figure comparing the two results and included in this post the two data files obtained from Matlab and deal.II.


I would greatly appreciate any insights or suggestions on what might be causing the discrepancy.

Najwa:
my first question would be if your matrices are the same. If they are not, then you should not expect eigenvalues to be the same. So what happens if you output the relevant matrices from both codes on, say, a 2x2 mesh? On a coarse enough mesh, you can often even compute the matrix by hand on a piece of paper within half an hour, so that if the matrices you output are different, you can figure out which one is right and which one is not.

Best
 W.

--
------------------------------------------------------------------------
Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/


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