Prof. Dr. Peter Oswald
Bell Labs, USA
On Multilevel Bases for Divergence-Free Finite Elements
Abstract: The talk covers two related subjects. We review an algebraic multilevel factorization method for the gradient discretization matrix B in a Stokes-type system which has recently been proposed by Samir and Sameh for large-scale particulate flow problems. We show its relationship to previous research on multilevel preconditioning of divergence-free elements by using nonconforming P1-P0 elements on a hierarchical sequence of 2D-triangulations as an example. For the triangular Taylor-Hood elements, local bases of divergence-free functions are derived, together with a preconditioning scheme.
| Zeit: | Freitag, 12. November 1999, 14.15 Uhr |
| Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG |