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

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• 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:

• Applied Mathematics Seminar Series
• School of Mathematics events
• Strathcona LT7

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