A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data

Author(s):  
Aubrey Rhoden ◽  
Natee Patong ◽  
Yueming Liu ◽  
Jianzhong Su ◽  
Hanli Liu
2011 ◽  
Vol 90 (10) ◽  
pp. 1573-1594 ◽  
Author(s):  
Natee Pantong ◽  
Aubrey Rhoden ◽  
Shao-Hua Yang ◽  
Sandra Boetcher ◽  
Hanli Liu ◽  
...  

2021 ◽  
Author(s):  
Quan-Fang Wang

In this paper, a triply cubic polynomials approach is proposed firstly for solving the globally convergent algorithm of coefficient inverse problems in three dimension. Using Taylor type expansion for three arguments to construct tripled cubic polynomials for the approximate solution as identifying coefficient function of parabolic initial-boundary problems, in which unknown coefficients appeared at nonlinear term. The presented computational approach is effective to execute in spatial 3D issues arising in real world. Further, the complete algorithm can be straightforwardly performed to lower or higher dimensions case


2021 ◽  
Author(s):  
Quan-Fang Wang

In this paper, a triply cubic polynomials approach is proposed firstly for solving the globally convergent algorithm of coefficient inverse problems in three dimension. Using Taylor type expansion for three arguments to construct tripled cubic polynomials for the approximate solution as identifying coefficient function of parabolic initial-boundary problems, in which unknown coefficients appeared at nonlinear term. The presented computational approach is effective to execute in spatial 3D issues arising in real world. Further, the complete algorithm can be straightforwardly performed to lower or higher dimensions case


2016 ◽  
Author(s):  
Joshua Joseph Cogliati ◽  
Jun Chen ◽  
Japan Ketan Patel ◽  
Diego Mandelli ◽  
Daniel Patrick Maljovec ◽  
...  

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