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Preconditioning for Divergence-Conforming Discretizations of the Stokes Equations

07 Feb 2016 | | Contributor(s):: Thomas Benson

Recent years have seen renewed interest in the numerical solution of the Stokes Equations. Of particular interest is the use of inf-sup stable pairs of finite elements for which weak enforcement of the incompressibility condition implies strong enforcement as well, such as with BDMelements....

Reducing Communication Costs for Sparse Matrix Multiplication within Algebraic Multigrid

04 Feb 2016 | | Contributor(s):: Grey Ballard

We consider the sequence of sparse matrix-matrix multiplications performed during the setup phase of algebraic multigrid. In particular, we show that the most commonly used parallel algorithm is often not the most communication-efficient one for all of the matrix multiplications involved. By...