Title: 3D anisotropic transient heat conduction by the local point interpolation-boundary element method

Authors: Gaël Pierson; Richard Kouitat Njiwa

Addresses: Institut Jean Lamour, Université de Lorraine, 2 allée André Guinier, Campus Artem, 54000 Nancy, France ' Institut Jean Lamour, Université de Lorraine, 2 allée André Guinier, Campus Artem, 54000 Nancy, France

Abstract: The boundary element method (BEM) is an effective numerical method for the solution of a large class of problems including heat conduction in isotropic media. The main appealing of this pure-BEM (reduction of the problem dimension by one) is tarnished to some extend when a fundamental solution to the governing differential equations does not exist. This is usually the case for anisotropic and nonlinear problems. Another attractive numerical approach due to its ease of implementation is the local point interpolation method applied to the strong form differential equations. The accuracy of this meshless method deteriorates in the presence of Neumann type boundary conditions. The main appealing of the BEM can be maintained by a judicious coupling of the pure-BEM with the local point interpolation method. The resulting approach, named the LPI-BEM, is shown to be effective for the solution of transient isotopic and anisotropic heat conduction.

Keywords: boundary element method; BEM; local point interpolation; LPI; anisotropy; transient heat conduction.

DOI: 10.1504/IJCSM.2021.118793

International Journal of Computing Science and Mathematics, 2021 Vol.14 No.2, pp.124 - 140

Received: 14 Dec 2018
Accepted: 27 Mar 2019
Published online: 08 Nov 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article