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The Discontinuous Galerkin Trefftz Method

Kretzschmar, Fritz (2015)
The Discontinuous Galerkin Trefftz Method.
Technische Universität
Ph.D. Thesis, Primary publication

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Item Type: Ph.D. Thesis
Type of entry: Primary publication
Title: The Discontinuous Galerkin Trefftz Method
Language: English
Referees: Weiland, Prof. Dr. Thomas ; Egger, Prof. Dr. Herbert
Date: 2015
Place of Publication: Darmstadt
Date of oral examination: 16 July 2015
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.

Alternative Abstract:
Alternative AbstractLanguage

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
URN: urn:nbn:de:tuda-tuprints-51668
Classification DDC: 500 Science and mathematics > 500 Science
500 Science and mathematics > 530 Physics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 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)
Date Deposited: 21 Dec 2015 10:08
Last Modified: 09 Jul 2020 01:11
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/5166
PPN: 386811172
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