University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > A space-time Trefftz dG method for the second order acoustic wave equation

A space-time Trefftz dG method for the second order acoustic wave equation

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact David Smith.

In this talk I will investigate the use of Trefftz methods for the numerical discretization of wave propagation problems in the time-domain. Trefftz methods instead of usual local polynomial approximation spaces, make use of approximation spaces containing locally exact solutions to the differential equation. Recently a number of space-time discontinuous Galerkin (dG) methods have been developed for acoustic and electromagnetic waves. We present a Trefftz interior penalty dG method for the acoustic wave equation in the second order form. Full stability and optimal order convergence analysis for this formulation is presented. I will further discuss in the extention of Trefftz methods to more general wave equations, in particular to the wave equation with damping. The talk concludes with a set of numerical experiments in one- and two-spatial dimensions.

This is joint work with E.H. Georgoulis (Leicester and Athens) and O. Lijoka (Edinburgh).

This talk is part of the Applied Mathematics Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on from the University of Cambridge.