Plane Wave Discontinuous Galerkin Methods
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Date
2013Type
- Report
ETH Bibliography
yes
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Abstract
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piecewise analytic boundary, modelling the scattering of acoustic waves at a sound soft obstacle. Our discretisation relies on the Trefftz-discontinuous Galerkin approach with plane wave basis functions on meshes with very general element shapes, geometrically graded towards domain corners. We prove exponential convergence of the discrete solution in terms of number of unknowns. Show more
Publication status
unpublishedJournal / series
Research ReportVolume
Publisher
ETH Zürich, Seminar für Angewandte MathematikSubject
Helmholtz equation; Sound-soft wave scattering; Analytic regularity; approximation by plane waves; Trefftz-discontinuous Galerkin method; Hp-version; A priori convergence analysis; Locally refined meshes; Exponential convergenceOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
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ETH Bibliography
yes
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