On 2/1/20 12:44 PM, Krishnakumar Gopalakrishnan wrote:

"_Two difficulties_ arise due to the _*zero pivots*_ in the bottom-right block of the matrix.
 1. Firstly, following a classical result from linear algebra, such matrices
    are indefinite and the conjugate gradient solver cannot be applied. We
    would have to resort to other iterative solvers instead, such as MinRes,
    SymmLQ, or GMRES, that can deal with indefinite systems.
 2. Secondly, due to the//zero block, there are zeros on the diagonal and none
    of the usual, "simple" preconditioners (Jacobi, SSOR) will work as they
    require division by diagonal elements"
How about this:
https://github.com/dealii/dealii/pull/9470

Best
 W.


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

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