inverse elliptic problem
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scholarly journals High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions

Filomat ◽  
2014 ◽  
Vol 28 (5) ◽  
pp. 947-962 ◽  
Author(s):  
Charyyar Ashyralyyev
Keyword(s):  
Inverse Problem ◽  
Order Approximation ◽  
High Order ◽  
Difference Schemes ◽  
Stability Estimates ◽  
High Order Approximation ◽  
Order Of Accuracy ◽  
Accuracy Difference ◽  
Inverse Elliptic Problem ◽  
Coercive Stability

Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

A globally convergent numerical method for an inverse elliptic problem of optical tomography

2010 ◽  
Vol 89 (6) ◽  
pp. 861-891 ◽  
Author(s):  
Michael V. Klibanov ◽  
Jianzhong Su ◽  
Natee Pantong ◽  
Hua Shan ◽  
Hanli Liu
Keyword(s):  
Numerical Method ◽  
Elliptic Problem ◽  
Optical Tomography ◽  
Globally Convergent ◽  
Inverse Elliptic Problem
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