A unified framework for constructing globally convergent algorithms for multidimensional coefficient inverse problems

2004 ◽  
Vol 83 (9) ◽  
pp. 933-955 ◽  
Author(s):  
Michael V. Klibanov ◽  
Alexandre Timonov †
Keyword(s):  
Inverse Problems ◽  
Unified Framework ◽  
Globally Convergent ◽  
Coefficient Inverse Problems

A globally convergent numerical method for coefficient inverse problems for thermal tomography

2011 ◽  
Vol 90 (10) ◽  
pp. 1573-1594 ◽  
Author(s):  
Natee Pantong ◽  
Aubrey Rhoden ◽  
Shao-Hua Yang ◽  
Sandra Boetcher ◽  
Hanli Liu ◽  
...  
Keyword(s):  
Inverse Problems ◽  
Numerical Method ◽  
Globally Convergent ◽  
Thermal Tomography ◽  
Coefficient Inverse Problems

scholarly journals A triply cubic polynomials approach for globally convergent algorithm in coefficient inverse problems

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Inverse Problems ◽  
Nonlinear Term ◽  
Initial Boundary ◽  
Coefficient Function ◽  
Three Dimension ◽  
Boundary Problems ◽  
Globally Convergent ◽  
Coefficient Inverse Problems ◽  
Cubic Polynomials ◽  
Convergent Algorithm

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

scholarly journals A triply cubic polynomials approach for globally convergent algorithm in coefficient inverse problems

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Inverse Problems ◽  
Nonlinear Term ◽  
Initial Boundary ◽  
Coefficient Function ◽  
Three Dimension ◽  
Boundary Problems ◽  
Globally Convergent ◽  
Coefficient Inverse Problems ◽  
Cubic Polynomials ◽  
Convergent Algorithm

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

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