Thursday, Apr. 24, 9:30 am in MTH 3206, University of Maryland,
College Park
Schwarz methods for saddle point problems (Stokes and linearized
Navier-Stokes problems)
Prof. Luca Pavarino
Department of Mathematics,
Universit\`a di Pavia,
27100 Pavia, ITALY
We introduce some parallel and scalable iterative methods for saddle point
problems with a penalty term, such as the Stokes problem, the linearized
Navier-Stokes equations and the mixed formulation of linear elasticity.
These are domain decomposition methods of overlapping Schwarz type, based
on the solution of local saddle point problems on overlapping subdomains
and the solution of a coarse saddle point problem.
The resulting indefinite preconditioner is accelerated by GMRES. Numerical
experiments indicate that the rate of convergence of the preconditioned
operator is independent of the mesh size, the number of subdomains and the
penalty parameter.
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