A Globally Convergent Numerical Method For Coefficient Inverse Problems

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Title: A Globally Convergent Numerical Method For Coefficient Inverse Problems
Author: Pantong, Natee
Abstract: In our terminology "globally convergent numerical method" means a numerical method , whose convergence to a good approximation for the correct solution is independent of the initial approximation . A new numerical imaging algorithm of reconstruction of optical absorption coefficients from near infrared light data with a continuous -wave has been purposed to solves a coefficient inverse problem for an elliptic equation with the data generated by the source running along a straight line . A regularization process , so -called "exterior forward problem" , for preprocessing data with noise on the boundary has also been purpose for the problem related to matching fluid in experiment . A rigorous convergence analysis shows that this method converges globally . A heuristic approach for approximating "tail -function" which is a crucial part of our problem has been performed and verified in numerical experiments , so as the global convergence . Applications to both electrical impedance and optical tomography are discussed . Numerical experiments in the 2D case are presented .
URI: http : / /hdl .handle .net /10106 /1735
Date: 2009-09-16

Citation

A Globally Convergent Numerical Method For Coefficient Inverse Problems. Available electronically from http : / /hdl .handle .net /10106 /1735 .

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