Abstract:
Some generalized eigenvalue problems play a very important role
in the modeling of mathematical visco-plastic Bingham flows, or
in the load capacity of elasto-plastic bodies.
The main goal of this talk is to discuss the computation of the
first generalized eigenvalues, associated with non-smooth operators
(typically involving 
norms).
To solve these highly nonlinear problems we will combine finite
element approximations with augmented Lagrangian based iterative methods.
The numerical results not only justify the methodology used but they
also exhibit bifurcations between eigenvalues and suggest some conjectures of
mathematical interest.
This is joint work with Roland Glowinski.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.