Discontinuous Galerkin method for linear wave equations involving derivatives of the Dirac delta distribution

Linear wave equations sourced by a Dirac delta distribution \(\delta(x)\) and its derivative(s) can serve as a model for many different phenomena. We describe a discontinuous Galerkin (DG) method to numerically solve such equations with source terms proportional to \(\partial^n \delta /\partial x^n\...

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Veröffentlicht in:	arXiv.org
Hauptverfasser:	Field, Scott E, Gottlieb, Sigal, Khanna, Gaurav, McClain, Ed
Format:	Paper
Sprache:	Englisch
Veröffentlicht:	Ithaca Cornell University Library, arXiv.org 30.06.2023
Schlagworte:	Exact solutions Galerkin method Wave equations
ISSN:	2331-8422
Online-Zugang:	Volltext
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