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The Discontinuous Galerkin Trefftz Method

Kretzschmar, Fritz (2015):
The Discontinuous Galerkin Trefftz Method.
Darmstadt, Technische Universität, [Online-Edition: http://tuprints.ulb.tu-darmstadt.de/5166],
[Ph.D. Thesis]

Abstract

In the following work we develop a novel numerical method, which is used to approximate time-dependent Maxwell's equations. The method combines an already existing discontinuous Galerkin (DG) method with polynomial Trefftz functions. These polynomial Trefftz functions exactly solve Maxwell's equations in an element-wise fashion.

Item Type: Ph.D. Thesis
Erschienen: 2015
Creators: Kretzschmar, Fritz
Title: The Discontinuous Galerkin Trefftz Method
Language: English
Abstract:

In the following work we develop a novel numerical method, which is used to approximate time-dependent Maxwell's equations. The method combines an already existing discontinuous Galerkin (DG) method with polynomial Trefftz functions. These polynomial Trefftz functions exactly solve Maxwell's equations in an element-wise fashion.

Place of Publication: Darmstadt
Divisions: 18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory (from 01.01.2019 renamed Institute for Accelerator Science and Electromagnetic Fields)
Exzellenzinitiative
Exzellenzinitiative > Graduate Schools
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Zentrale Einrichtungen
Date Deposited: 27 Dec 2015 20:55
Official URL: http://tuprints.ulb.tu-darmstadt.de/5166
URN: urn:nbn:de:tuda-tuprints-51668
Referees: Weiland, Prof. Dr. Thomas and Egger, Prof. Dr. Herbert
Refereed / Verteidigung / mdl. Prüfung: 16 July 2015
Alternative Abstract:
Alternative abstract Language
Das Ziel der nachfolgenden Arbeit ist die Entwicklung einer neuartigen numerischen Methode, welche zur Approximation der zeitabhängigen Maxwellschen Gleichungen verwendet wird. Die genannte Methode kombiniert eine bereits bestehende diskontinuierliche Galkerkin (DG) Methode mit sogenannten polynomialen Trefftz Funktionen, welche die zeitabhängigen Maxwellschen Gleichungen exakt lösen.German
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