APPLICATION OF THE FINITE-ELEMENT METHOD TO THE INVERSE HEAT CONDUCTION PROBLEM

1978 ◽  
Vol 1 (4) ◽  
pp. 489-498 ◽  
Author(s):  
G. W. Krutz ◽  
R. J. Schoenhals ◽  
P. S. Hore
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
The Finite Element Method ◽  
Element Method

The Application of Finite Element Method in Calculating Two-Dimensional Heat Conduction in the Ground

2014 ◽  
Vol 988 ◽  
pp. 479-482
Author(s):  
Hui Zhang ◽  
Jing Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Field ◽  
Heat Conduction ◽  
Soil Temperature ◽  
Heat Conduction Problem ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
The Mathematical Model ◽  
Element Method

This thesis simulated the principle of the fast heat conductivity testing instrument, introduced how to use the finite element method to calculate two-dimensional unstable heat conduction condition. When establish the mathematical model, the article simplifies the soil temperature field as the two-dimensional non-stable heat conduction problem. Through computation it can get the soil temperature field at any moment in the running time and the plan uniform temperature lines, that also may obtain the change of temperature about one point in the process. The method is simple and credible. These solutions of these questions are the foundation of research the heat conduction in the ground and the temperature field.

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.

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