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A Discontinuous Galerkin Method for Simulations in Complex Domains

Engwer, Christian

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Abstract

In this report we present a new approach to simulations on complex shaped domains. The method uses a Discontinuous Galerkin discretization and a structured grid to construct the test and trial functions. Boundary and transmission conditions along the complex shape of the domains are imposed weakly via the Discontinuous Galerkin formulation. This method o ers a discretization where the minimal number of unknowns is independent of the possibly very complicated shape of the domain.

Item Type: Preprint
Series Name: IWR-Preprints
Date Deposited: 08 Aug 2005 13:55
Date: 2005
Faculties / Institutes: Service facilities > Interdisciplinary Center for Scientific Computing
Subjects: 510 Mathematics
Controlled Keywords: Finite-Elemente-Methode, Diskontinuierliche Galerkin-Methode
Uncontrolled Keywords: Komplexe Gebiete , Discontinuous Galerkin Methode , Finite Element MethodeComplex Domains , Discontinuous Galerkin Method , Finite Element Method
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