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# Isogeometric Boundary Element Analysis for 2D Transient Heat Conduction Problem with Radial Integration Method

Leilei Chen1, Kunpeng Li1, Xuan Peng2, Haojie Lian3,4,*, Xiao Lin5, Zhuojia Fu6

1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 Department of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China
3 Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
4 Institute for Computational Engineering, Faculty of Science, Technology and Communication, University of Luxembourg, Luxembourg
5 The York Management School, University of York, York, YO10 5GD, UK
6 College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

* Corresponding Author: Haojie Lian. Email:

Computer Modeling in Engineering & Sciences 2021, 126(1), 125-146. https://doi.org/10.32604/cmes.2021.012821

## Abstract

This paper presents an isogeometric boundary element method (IGABEM) for transient heat conduction analysis. The Non-Uniform Rational B-spline (NURBS) basis functions, which are used to construct the geometry of the structures, are employed to discretize the physical unknowns in the boundary integral formulations of the governing equations. B´ezier extraction technique is employed to accelerate the evaluation of NURBS basis functions. We adopt a radial integration method to address the additional domain integrals. The numerical examples demonstrate the advantage of IGABEM in dimension reduction and the seamless connection between CAD and numerical analysis.

## Cite This Article

Chen, L., Li, K., Peng, X., Lian, H., Lin, X. et al. (2021). Isogeometric Boundary Element Analysis for 2D Transient Heat Conduction Problem with Radial Integration Method. CMES-Computer Modeling in Engineering & Sciences, 126(1), 125–146.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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