Abstract:
When certain domain decomposition concepts are applied with elements
as subdomains, we obtain hybridized finite element methods.
Specifically, we `hybridize' a method when some finite element
continuity constraints are moved from its approximation spaces into
the system of equations defining the method. While this may appear to
be a trivial reformulation, I will show that hybridization results in
interesting solutions, some with properties that are diffcult to get
with standard techniques. For example, we will discuss a hybridized
method for Stokes flow which can yield exactly divergence free
velocity approximations in two and three dimensions. The talk will
begin with an introduction to hybridization via the classical
hybridized Raviart-Thomas method. We will then examine various uses of
hybridization, such as using it for comparing methods, to construct
efficient discontinuous Galerkin methods, etc.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.