Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation

Abstract

We describe and analyse a space-time Trefftz discontinuous Galerkin method for the wave equation. The method is defined for unstructured meshes whose internal faces need not be aligned to the space-time axes. We show that the scheme is well-posed and dissipative, and we prove a priori error bounds for general Trefftz discrete spaces. A concrete discretisation can be obtained using piecewise polynomials that satisfy the wave equation elementwise.

8 pages, submitted to the XXIV CEDYA / XIV CMA conference, Cadiz 8-12 June 2015

References in corpus (2)

• A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems
• Acoustic scattering: high frequency boundary element methods and unified transform methods

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