On 10/13/2017 08:39 AM, Lucas Campos wrote:

    In general, using MatrixTools::apply_boundary_values() is not the way to go
    with MPI programs. Rather, use a ConstraintMatrix and incorporate the
    boundary
    values into the same object as you do with hanging node constraints.


This is the way to go due to correctness, or in the sense of scalability?

MatrixTools::apply_boundary_values() needs access to the elements of the matrix because it wants to modify elements after they have already been written into the matrix. That is already difficult if the matrix is owned by PETSc or Trilinos -- we can get access to these elements, but it is not efficient to do so.

But the bigger issue is that the function wants to access elements not only for the rows of constrained DoFs, but also for the columns. That means that you may have to access elements that are actually stored on other processors -- something that can not be done efficiently. Consequently, MatrixTools::apply_boundary_values() does not attempt to eliminate columns of the matrix, and you will end up with a non-symmetric matrix even if your problem is symmetric.

It is better to use the approach via ConstraintMatrix that deals with entries before they even get into the matrix (and therefore in particular before matrix entries are sent to other processors).

Best
 W.

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

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