scholarly journals Analysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations

2012 ◽  
Vol 36 (7) ◽  
pp. 2996-3006 ◽  
Author(s):  
R. Suero ◽  
M.A.V. Pinto ◽  
C.H. Marchi ◽  
L.K. Araki ◽  
A.C. Alves
Keyword(s):  
Steady State ◽  
Algebraic Multigrid ◽  
Heat Diffusion ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
State Heat ◽  
Steady State Heat

Steady-State Conduction With Variable Thermal Conductivity

1962 ◽  
Vol 84 (1) ◽  
pp. 92-93 ◽  
Author(s):  
Robert K. McMordie
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Variable Thermal Conductivity ◽  
Two Dimensional ◽  
The Real ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

A method is developed for solving two-dimensional, steady-state heat-transfer problems with thermal conductivity dependent on temperature. The quantity ∫ KdT is employed in the analysis and although this quantity has been known for some time,2, 3 it seems that the real usefulness of this quantity in analysis has not been, in general, recognized.

scholarly journals An isogeometric analysis approach for twodimensional steady state heat transfer problems

2015 ◽  
Vol 18 (2) ◽  
pp. 164-174
Author(s):  
Em Tuan Le ◽  
Khuong Duy Nguyen ◽  
Hoa Cong Vu
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Isogeometric Analysis ◽  
Basis Functions ◽  
High Rate ◽  
Two Dimensional ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

The purpose of this article is studied the application of isogeometric analysis (IGA) to two-dimensional steady state heat transfer problems in a heat sink. By using high order basis functions, NURBS basis functions, IGA is a high rate convergence approach in comparison to a traditional Finite Element Method. Moreover, the development of this method decreased the gaps between CAD and mathematical model and increased the continuity of mesh.

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