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Adaptive local representations for Helmholtz Trefftz discontinuous Galerkin methods

Kapita, Shelvean
arXiv (All) · Papers
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numerical-analysis
We study the selection and stable realization of local approximation spaces in Trefftz discontinuous Galerkin discretizations of the Helmholtz equation. A scaled Cauchy-trace inner product places plane waves and Fourier-Bessel functions in a common geometry: Fourier-Bessel modes are orthogonal with
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