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 equationAdd to your list(s) Download to your calendar using vCal - Dr Lehel Banjai, Heriot-Watt University
- Monday 30 January 2017, 15:00-16:00
- Strathcona LT7.
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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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