Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation

2021 ◽  
Author(s):  
Fan Yang ◽  
Qian-Chao Wang ◽  
Xiao-Xiao Li
Keyword(s):  
Regularization Method ◽  
Biharmonic Equation ◽  
Iterative Regularization ◽  
Unknown Source

scholarly journals Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation

2021 ◽  
Vol 6 (9) ◽  
pp. 10327-10342
Author(s):  
Dun-Gang Li ◽  
◽  
Fan Yang ◽  
Ping Fan ◽  
Xiao-Xiao Li ◽  
...  
Keyword(s):  
Helmholtz Equation ◽  
Regularization Method ◽  
Iterative Regularization ◽  
Modified Helmholtz Equation ◽  
Unknown Source

Iterative regularization method in generalized inverse beamforming

2017 ◽  
Vol 396 ◽  
pp. 108-121 ◽  
Author(s):  
Zhifei Zhang ◽  
Si Chen ◽  
Zhongming Xu ◽  
Yansong He ◽  
Shu Li
Keyword(s):  
Regularization Method ◽  
Generalized Inverse ◽  
Iterative Regularization

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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