Virtual boundary element method in conjunction with conjugate gradient algorithm for three-dimensional inverse heat conduction problems

2017 ◽  
Vol 72 (6) ◽  
pp. 421-430 ◽  
Author(s):  
Daigeng Yang ◽  
Xingxing Yue ◽  
Qingbin Yang
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Conjugate Gradient ◽  
Three Dimensional ◽  
Gradient Algorithm ◽  
Inverse Heat Conduction ◽  
Virtual Boundary ◽  
Inverse Heat Conduction Problems ◽  
Virtual Boundary Element

scholarly journals Heating source localization in a reduced time

2016 ◽  
Vol 26 (3) ◽  
pp. 623-640 ◽  
Author(s):  
Sara Beddiaf ◽  
Laurent Autrique ◽  
Laetitia Perez ◽  
Jean-Claude Jolly
Keyword(s):  
Heat Conduction ◽  
Source Localization ◽  
Conjugate Gradient ◽  
Regularization Method ◽  
Three Dimensional ◽  
Gradient Algorithm ◽  
Iterative Regularization ◽  
Heating Source ◽  
Ill Posed ◽  
Reduced Time

Abstract Inverse three-dimensional heat conduction problems devoted to heating source localization are ill posed. Identification can be performed using an iterative regularization method based on the conjugate gradient algorithm. Such a method is usually implemented off-line, taking into account observations (temperature measurements, for example). However, in a practical context, if the source has to be located as fast as possible (e.g., for diagnosis), the observation horizon has to be reduced. To this end, several configurations are detailed and effects of noisy observations are investigated.

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