NURBS-based geometries: A mapping approach for virtual serendipity elements

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OriginalspracheEnglisch
Aufsatznummer113732
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang378
Frühes Online-Datum27 Feb. 2021
PublikationsstatusVeröffentlicht - 1 Mai 2021

Abstract

A NURBS-based serendipity virtual element method for general (arbitrary) element shapes is outlined in this work. The low-order VEM ansatz function is now extended towards higher-order formulation. In comparison with the already existing serendipity VEM, a general mapping scheme is developed within this contribution allowing to deviate from the assumption of straight edges of virtual elements. A number of numerical examples illustrates the robustness and accuracy of the new mapping methodology. The results are very promising and underline the advantages of the formulations for dealing with arbitrary geometries.

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NURBS-based geometries: A mapping approach for virtual serendipity elements. / Wriggers, Peter; Hudobivnik, Blaž; Aldakheel, Fadi.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 378, 113732, 01.05.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wriggers P, Hudobivnik B, Aldakheel F. NURBS-based geometries: A mapping approach for virtual serendipity elements. Computer Methods in Applied Mechanics and Engineering. 2021 Mai 1;378:113732. Epub 2021 Feb 27. doi: 10.1016/j.cma.2021.113732
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AU - Hudobivnik, Blaž

AU - Aldakheel, Fadi

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