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

2021 ◽  
Vol 14 (2) ◽  
pp. 124
Author(s):  
Richard Kouitat Njiwa ◽  
Gaël Pierson
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Transient Heat Conduction ◽  
Local Point ◽  
Point Interpolation ◽  
Element Method

Transient heat conduction by the boundary element method: D-BEM approaches

2011 ◽  
Vol 89 (7) ◽  
pp. 897-913 ◽  
Author(s):  
J. A. M. Carrer ◽  
M. F. Oliveira ◽  
R. J. Vanzuit ◽  
W. J. Mansur
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Transient Heat Conduction ◽  
Element Method

The Local Point Interpolation–Boundary Element Method: Application to 3D Stationary Thermo-Piezoelectricity

2016 ◽  
Vol 13 (01) ◽  
pp. 1650003 ◽  
Author(s):  
Richard Kouitat Njiwa
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Thermal Conduction ◽  
Linear Equations ◽  
Point Collocation ◽  
Simple Strategy ◽  
Local Point ◽  
Radial Point Interpolation ◽  
Point Interpolation ◽  
Element Method

This paper presents a simple strategy allowing to adapt well-established isotropic BEM approach for the solution of multi-physics problems with anisotropic material parameters. The method is based on the partition of the primary kinematical fields into complementary and particular parts. The isotropic linear equations for the complementary fields are solved by the conventional boundary element method. The particular fields are obtained by a point collocation of a strong form differential equation. Adopting local radial point interpolation, the effectiveness of the approach is proved by considering various examples of stationary thermal conduction, thermos-elasticity and thermos-piezoelectricity.

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