Müller, Björn ; Kummer, Florian ; Oberlack, Martin (2013)
Highly accurate surface and volume integration on implicit domains by means of moment-fitting.
In: International Journal for Numerical Methods in Engineering, 96 (8)
Artikel, Bibliographie
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 |
| Art des Eintrags: | Bibliographie |
| Titel: | Highly accurate surface and volume integration on implicit domains by means of moment-fitting |
| Sprache: | Englisch |
| Publikationsjahr: | 23 November 2013 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal for Numerical Methods in Engineering |
| Jahrgang/Volume einer Zeitschrift: | 96 |
| (Heft-)Nummer: | 8 |
| URL / URN: | 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. |
| Freie Schlagworte: | BoSSS |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) DFG-Sonderforschungsbereiche (inkl. Transregio) DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche Exzellenzinitiative Exzellenzinitiative > Exzellenzcluster Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen Exzellenzinitiative > Exzellenzcluster > Center of Smart Interfaces (CSI) |
| Hinterlegungsdatum: | 05 Sep 2013 12:34 |
| Letzte Änderung: | 21 Mär 2019 11:55 |
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