Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/85990
Title: Enhanced integration scheme for unfitted polygonal elements
Author(s): Petö, Márton
Duvigneau, FabianLook up in the Integrated Authority File of the German National Library
Juhre, DanielLook up in the Integrated Authority File of the German National Library
Eisenträger, SaschaLook up in the Integrated Authority File of the German National Library
Issue Date: 2021
Type: Article
Language: English
URN: urn:nbn:de:gbv:ma9:1-1981185920-879435
Subjects: Polygonal elements
Quadtree-decomposition-based approach
Time savings
Abstract: In this contribution a novel integration scheme, extending the conventional quadtree-decomposition-based approach by image compression techniques, is investigated for unfitted polygonal meshes with a particular focus on the rational Wachspress shape functions. It is shown that a meaningful reduction of integration points can be achieved without a significant loss in accuracy. However, the full potential of the method in terms of time savings can only be leveraged when applied to higher order polynomial elements. For more information on this topic see Enhanced Numerical Integration Scheme Based on Image Compression Techniques: Application to Rational Polygonal Interpolants by Petö et al. [1].
URI: https://opendata.uni-halle.de//handle/1981185920/87943
http://dx.doi.org/10.25673/85990
Open Access: Open access publication
License: (CC BY-NC 4.0) Creative Commons Attribution NonCommercial 4.0(CC BY-NC 4.0) Creative Commons Attribution NonCommercial 4.0
Sponsor/Funder: Projekt DEAL 2020
Journal Title: Proceedings in applied mathematics and mechanics
Publisher: Wiley-VCH
Publisher Place: Weinheim [u.a.]
Volume: 20
Issue: 1
Original Publication: 10.1002/pamm.202000230
Page Start: 1
Page End: 2
Appears in Collections:Fakultät für Maschinenbau (OA)

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