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NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes

Mattia Montanari Orcid Logo, Gian Maria Santi, Rubén Sevilla Orcid Logo, Liverani Alfredo, Nik Petrinic

Finite Elements in Analysis and Design, Volume: 231, Start page: 104099

Swansea University Author: Rubén Sevilla Orcid Logo

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Abstract

This paper formulates quadrilateral elements for the NURBS-enhanced finite element method (NEFEM). The objective is to extend the application of NEFEM to problems where the use of quadrilateral elements is preferred. By leveraging a mapping, between reference and physical spaces, that encapsulates t...

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Published in: Finite Elements in Analysis and Design
ISSN: 0168-874X
Published: Elsevier BV 2024
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa65195
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Abstract: This paper formulates quadrilateral elements for the NURBS-enhanced finite element method (NEFEM). The objective is to extend the application of NEFEM to problems where the use of quadrilateral elements is preferred. By leveraging a mapping, between reference and physical spaces, that encapsulates the exact boundary representation of the domain, a tight integration with computer aided design (CAD) systems is achieved. The contribution of this work is an enhanced quadrilateral finite element that incorporates the exact CAD geometry purely from the boundary representation (B-rep) from CAD and without the need for a whole volume representation (V-rep) as a NURBS entity. Numerical examples involving heat transfer and linear elastic problems are used to numerically demonstrate the optimal convergence properties of the method under mesh refinement.
Keywords: NEFEMCAD, integration, Quadrilateral elements
College: Faculty of Science and Engineering
Funders: The permission of Rolls-Royce to publish this paper is gratefully acknowledged. This research forms part of the Rolls-Royce led EPSRC Prosperity Partnership EP/S005072/1 entitled Strategic Partnership in Computational Science for Advanced Simulation and Modelling of Virtual Systems: ASiMoV.
Start Page: 104099