A virtual element formulation for general element shapes

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OriginalspracheEnglisch
Seiten (von - bis)963-977
Seitenumfang15
FachzeitschriftComputational Mechanics
Jahrgang66
Ausgabenummer4
Frühes Online-Datum13 Aug. 2020
PublikationsstatusVeröffentlicht - Okt. 2020

Abstract

The virtual element method is a lively field of research, in which considerable progress has been made during the last decade and applied to many problems in physics and engineering. The method allows ansatz function of arbitrary polynomial degree. However, one of the prerequisite of the formulation is that the element edges have to be straight. In the literature there are several new formulations that introduce curved element edges. These virtual elements allow for specific geometrical forms of the course of the curve at the edges. In this contribution a new methodology is proposed that allows to use general mappings for virtual elements which can model arbitrary geometries.

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A virtual element formulation for general element shapes. / Wriggers, Peter; Hudobivnik, Blaz; Aldakheel, Fadi.
in: Computational Mechanics, Jahrgang 66, Nr. 4, 10.2020, S. 963-977.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wriggers P, Hudobivnik B, Aldakheel F. A virtual element formulation for general element shapes. Computational Mechanics. 2020 Okt;66(4):963-977. Epub 2020 Aug 13. doi: 10.1007/s00466-020-01891-5
Wriggers, Peter ; Hudobivnik, Blaz ; Aldakheel, Fadi. / A virtual element formulation for general element shapes. in: Computational Mechanics. 2020 ; Jahrgang 66, Nr. 4. S. 963-977.
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