A Restarted Conjugate Gradient Method for Ill-posed Problems

2003 ◽  
Vol 19 (1) ◽  
pp. 31-40 ◽  
Author(s):  
Yan-fei Wang
Keyword(s):  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Ill Posed

Theory Study for Moving Force Identification

2012 ◽  
Vol 476-478 ◽  
pp. 2292-2295
Author(s):  
Zhen Chen
Keyword(s):  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Noise Immunity ◽  
Identification Accuracy ◽  
Force Identification ◽  
Moving Force ◽  
Study Results ◽  
Ill Posed ◽  
Pre Treatment

Three identification methods, the time domain method (TDM)、the conjugate gradient method (CGM)and the pre-treatment conjugate gradient method (PCGM) are employed for moving force identification. Related research shows that the PCGM have higher identification accuracy and robust noise immunity as well as producing an acceptable solution to ill-posed cases to some extent when they are used to identify the moving force. However, the pre-treatment matrix is very important to the PCGM because it affects the identification accuracy and robust noise immunity as well as ill-posed cases to some extent. The theory study results are practical significant to selection properly pre-treatment matrix.

Conjugate Gradient Method for Estimation of Robin Coefficients

2014 ◽  
Vol 4 (2) ◽  
pp. 189-204 ◽  
Author(s):  
Yan-Bo Ma ◽  
Fu-Rong Lin
Keyword(s):  
Inverse Problem ◽  
Integral Equation ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Nonlinear Least Squares ◽  
Boundary Integral ◽  
Numerical Examples ◽  
Nonlinear Least Squares Problem ◽  
Ill Posed

AbstractWe consider a Robin inverse problem associated with the Laplace equation, which is a severely ill-posed and nonlinear. We formulate the problem as a boundary integral equation, and introduce a functional of the Robin coefficient as a regularisation term. A conjugate gradient method is proposed for solving the consequent regularised nonlinear least squares problem. Numerical examples are presented to illustrate the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document