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arXiv · 1505.00120

Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation

Andrea Moiola
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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.

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Andrea Moiola. 2015-05-01. Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation. https://doi.org/10.1007/978-3-319-41640-3_8

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