Thursday, September 28, 9:30 am in room MTH 3206, University of Maryland,
College Park
On the multigrid method for stationary Stokes problems
Prof. Shangyou Zhang
Department of Mathematics,
University of Delaware
szhang@math.udel.edu
The multigrid method is an effective iterative algorithm for solving
linear systems of equations arising from boundary value problems.
The multigrid method has been recently applied extensively and studied
intensively due to its optimal-order computational complexity, i.e.
the number of operations is proportional to the number of unknowns
in the linear system.
In this talk, we will discuss some unusual features of the multigrid
method when applied to the stationary Stokes equation, where the
multilevel finite (mixed) element spaces may not be nested due to
special structures of the elements or the underlying grids.
We will show also the effectiveness of a multigrid version of a iterated
penalty method (a Uzawa's algorithm) when applied to the mixed-element
Stokes equation if the discrete spaces for the pressure are precisely
the divergence of the finite element spaces for the velocity.
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