A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Abstract
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solution of the PDE to be approximated. They are viable only when the PDE is linear and its coefficients are piecewise-constant. We introduce a “quasi-Trefftz” discontinuous Galerkin (DG) method for the discretisation of the acoustic wave equation with piecewise-smooth material parameters: the discrete functions are elementwise approximate PDE...
Paper Details
Title
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Published Date
Nov 22, 2022
Journal
Volume
92
Issue
341
Pages
1211 - 1249
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