Abstract:
We derive and analyze new boundary element (BE) based finite element
discretizations of potential-type, Helmholtz and Maxwell equations
on arbitrary polygonal and polyhedral meshes.
The starting point of this discretization technique is the
symmetric BE Domain Decomposition Method (DDM), where the
subdomains are the finite elements. This can be interpreted
as a local Trefftz method that uses PDE-harmonic basis functions.
This discretization technique leads to large-scale sparse linear systems
of algebraic equations which can efficiently be solved by
Algebraic Multigrid
preconditioned conjugate
gradient methods in the case of the potential equation and
by Krylov subspace iterative methods in general.
This talk is based on a joint work with Dylan Copeland
and David Pusch. This work was supported by the
Austrian Science Fund FWF under the grant P19255.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.