Least-squares finite element formulations for one-dimensional radiative transfer

2005 ◽  
Vol 95 (3) ◽  
pp. 387-406 ◽  
Author(s):  
J.P. Pontaza ◽  
J.N. Reddy
Keyword(s):  
Finite Element ◽  
Radiative Transfer ◽  
Least Squares ◽  
One Dimensional ◽  
Finite Element Formulations

scholarly journals Comparison of different least-squares mixed finite element formulations for hyperelasticity

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 239-240
Author(s):  
Alexander Schwarz ◽  
Karl Steeger ◽  
Maximilian Igelbüscher ◽  
Jörg Schröder
Keyword(s):  
Finite Element ◽  
Least Squares ◽  
Mixed Finite Element ◽  
Finite Element Formulations

The Inversion of Concrete Thermal Conductivity Using Least Squares Finite Element Method

2015 ◽  
Vol 723 ◽  
pp. 460-463
Author(s):  
Shao Jun Huo ◽  
Fu Guo Tong ◽  
Gang Liu
Keyword(s):  
Thermal Conductivity ◽  
Finite Element Method ◽  
Finite Element ◽  
Least Squares ◽  
Annular Region ◽  
Internal Temperature ◽  
One Dimensional ◽  
Order Of Magnitude ◽  
Steady State Heat ◽  
Element Method

This paper adopted the least squares of finite element method to calculate the thermal conductivity of concrete in annular region according to the internal temperature of concrete in one-dimensional steady-state heat conduction. The concrete in annular region was divided into several kinds of materials along the radius when computing thermal conductivity. The results that the ratios of the thermal conductivity of different radius are no more than one order of magnitude prove that the least squares finite element method has a high precision.

Least-Squares Finite Element Analysis for Transient Radiative Transfer in Absorbing and Scattering Media

2005 ◽  
Vol 128 (5) ◽  
pp. 499-503 ◽  
Author(s):  
W. An ◽  
L. M. Ruan ◽  
H. P. Tan ◽  
H. Qi
Keyword(s):  
Finite Element ◽  
Radiative Transfer ◽  
Least Squares ◽  
Present Model ◽  
Element Model ◽  
Discrete Ordinates ◽  
Scattering Media ◽  
Element Analysis ◽  
Volume Method ◽  
Transfer Problems

In some radiative transfer processes, the time scales are usually on the order of 10−9-10−15s, so the transient effect of radiation should be considered. In present research, a finite element model, which is based on the discrete ordinates method and least-squares variational principle, is developed to simulate the transient radiative transfer in absorbing and scattering media. The numerical formulations and detailed steps are given. Moreover, two transient radiative transfer problems are investigated and the results are compared with those by integral method and finite volume method. It indicates that the present model can simulate the transient radiative transfer effectively and accurately.

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