A non-iterative finite element method for inverse heat conduction problems

2003 ◽  
Vol 56 (9) ◽  
pp. 1315-1334 ◽  
Author(s):  
Xianwu Ling ◽  
Russell G. Keanini ◽  
H. P. Cherukuri
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Inverse Heat Conduction ◽  
Inverse Heat Conduction Problems ◽  
Element Method

A Meshless Manifold Method for Solving the Inverse Heat Conduction Problems

2013 ◽  
Vol 749 ◽  
pp. 131-136
Author(s):  
Hong Fen Gao ◽  
Gao Feng Wei
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Problem Domain ◽  
Computation Cost ◽  
Inverse Heat Conduction Problems ◽  
Element Method

In this paper the meshless manifold method is used to obtain the solution of an inverse heat conduction problem with a source parameter. Compared with the numerical methods based on mesh, such as finite element method and boundary element method, the meshless manifold method only needs the scattered nodes instead of meshing the domain of the problem when the trial function is formed. The meshless manifold method is used to discretize the governing partial differential equation, and boundary conditions can be directly enforced without numerical integration in the problem domain. This reduces the computation cost greatly. A numerical example is given to show the effectiveness of the method.

Steady State Heat Conduction Modeling by the Generalized Finite Element Method

2018 ◽  
Author(s):  
Humberto Alves da Silveira Monteiro ◽  
Guilherme Garcia Botelho ◽  
Roque Luiz da Silva Pitangueira ◽  
Rodrigo Peixoto ◽  
FELICIO BARROS
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Steady State ◽  
Generalized Finite Element Method ◽  
State Heat ◽  
Steady State Heat ◽  
Generalized Finite Element ◽  
Element Method
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