On 7/30/19 1:28 PM, Daniel Garcia-Sanchez wrote:
> 
> I did 3 test which gave the same solution:
> 
>   * Original mesh. determinant(system_matrix) = 6.6e10
>   * Move vertex and do not apply constraint. determinant(system_matrix)
>     = 6e11
>   * Move vert and apply constraint. det(system_matrix) = 1.2e12

You can't compute the determinant for anything but quite small matrices. 
It's not a numerically stable operation. The only way to determine 
whether a matrix is singular is to compute all eigenvalues and see 
whether one or more are "small" compared to the size of the other 
eigenvalues.

Can you do that for the matrices you have, and plot the eigenvalues in 
the same plot? Is there a qualitative difference?

Best
  W.

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

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