Abstract:
In this talk we consider the finite element approximation of singular solutions of Poisson problems in a polygonal domain with entrant corners or changing Dirichlet-Neumann boundary conditions. We use a correction algorithm with patches of finite elements to improve the a priori error estimates and to obtain the same accuracy as in the regular case. We give an application of this correction method to the numerical simulation of glacier motions.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.