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Highly accurate surface and volume integration on implicit domains by means of moment-fitting

Müller, Björn ; Kummer, Florian ; Oberlack, Martin :
Highly accurate surface and volume integration on implicit domains by means of moment-fitting.
[Online-Edition: http://onlinelibrary.wiley.com/doi/10.1002/nme.4569/abstract]
In: International Journal for Numerical Methods in Engineering, 96 (8) pp. 512-528.
[Artikel], (2013)

Offizielle URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.4569/abstract

Kurzbeschreibung (Abstract)

We introduce a new method for the numerical integration over curved surfaces and volumes defined by a level set function. The method is based on the solution of a small linear system based on a simplified variant of the moment-fitting equations. Numerical experiments suggest that the accuracy of the resulting quadrature rules exceeds the accuracy of traditional methods by orders of magnitude. Using moments up to an order of p, the measured experimental orders of convergence exceed hp. Consequently, their construction is very efficient because only coarse computational grids are required. The conceptual simplicity allows for the application on very general grid types, which is demonstrated by numerical experiments on quadrilateral, triangular and hexahedral grids.

Typ des Eintrags: Artikel
Erschienen: 2013
Autor(en): Müller, Björn ; Kummer, Florian ; Oberlack, Martin
Titel: Highly accurate surface and volume integration on implicit domains by means of moment-fitting
Sprache: Englisch
Kurzbeschreibung (Abstract):

We introduce a new method for the numerical integration over curved surfaces and volumes defined by a level set function. The method is based on the solution of a small linear system based on a simplified variant of the moment-fitting equations. Numerical experiments suggest that the accuracy of the resulting quadrature rules exceeds the accuracy of traditional methods by orders of magnitude. Using moments up to an order of p, the measured experimental orders of convergence exceed hp. Consequently, their construction is very efficient because only coarse computational grids are required. The conceptual simplicity allows for the application on very general grid types, which is demonstrated by numerical experiments on quadrilateral, triangular and hexahedral grids.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: International Journal for Numerical Methods in Engineering
Band: 96
(Heft-)Nummer: 8
Verlag: Wiley
Freie Schlagworte: BoSSS
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
Zentrale Einrichtungen
Exzellenzinitiative
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
Exzellenzinitiative > Graduiertenschulen
Hinterlegungsdatum: 05 Sep 2013 12:34
Offizielle URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.4569/abstract
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