Manchester Applied Mathematics and Numerical Analysis Seminars Winter 1999/2000

November 24, 1999, 4.00 pm

Lecture Theatre OF/B9 Oddfellows Hall (Material Science)

hp-Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity

Prof. Endre Süli, Computing Laboratory, University of Oxford

The traditional approach to the numerical solution of hyperbolic partial differential equations is relies on finite difference and finite volume methods of low order order of accuracy. The aim of this talk is to explore an alternative route based on the use of hp-finite element methods. This class of techniques admits both mesh adaptation and adaptive alteration of the degree of the approximating piecewise polynomial to improve accuracy, if required. We shall develop the error analysis of the hp-version of the discontinuous Galerkin finite element method and illustrate the implementation of the a posteriori error bounds into an adaptive algorithm capable of delivering numerical approximations to the quantity of interest automatically, to within a user-prescribed tolerance. The talk is based on joint work with Christoph Schwab (ETH Zurich) and Paul Houston (Leicester).

For further info contact either Matthias Heil (mheil@ma.man.ac.uk), Mark Muldoon (M.Muldoon@umist.ac.uk) or the seminar secretary (Tel. 0161 275 5800).