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Discretization of the Stokes equations.
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
BDM elements. While there have been recent
developments in preconditioning methods for the linear systems arising
from this discretization, they are nonstandard preconditioning
approaches. In this talk, we explore the applicability of classic Stokes
preconditioning methods to the BDM discretization, including
block-factorization and monolithic multigrid approaches. We compare each
of these methods and present numerical results on their performance.