Abstract
The scaled boundary finite element method (SBFEM) is a semi-analytical method. It is potentially better than the finite element method and the boundary element method for certain problems. This paper explores the efficiency and the accuracy of the scaled boundary finite element method to analyze two-dimensional heat conduction in an anisotropic problem. The scaled boundary finite element equations have been formulated in a general framework with the influences of the heat source, general conditions, contributions of the side face with either prescribed surface heat flux or prescribed temperature. A system of linear, second-order, nonhomogeneous, ordinary differential equations has been established and solved. Linear shape functions have been employed in the approximation of defining curve and test functions. Several examples are calculated and contrasted with other numerical methods and the analytical solution. The precision and stableness of the proposed method for two-dimensional heat conduction are verified.
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The authors gratefully acknowledge the support provided by Ho Chi Minh City University of Technology and Education, Vietnam.
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Nguyen Van, C., Thongchom, C., Keawsawasvong, S., Lai, V.Q. (2023). Analysis of Two-Dimensional Heat Conduction in Anisotropic Problem by Scaled Boundary Finite Element Method. In: Huang, YP., Wang, WJ., Quoc, H.A., Le, HG., Quach, HN. (eds) Computational Intelligence Methods for Green Technology and Sustainable Development. GTSD 2022. Lecture Notes in Networks and Systems, vol 567. Springer, Cham. https://doi.org/10.1007/978-3-031-19694-2_16
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DOI: https://doi.org/10.1007/978-3-031-19694-2_16
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