Numerical implementations of dynamical probe method for non-stationary heat equation |
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Authors: | Y. Daido G. Nakamura |
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Affiliation: | a Department of Mathematics, Hokkaido University, Sapporo 060 0810, Japan b Institute of Mathematics, Fudan University, Shanghai 200433, China c Department of Mathematics, Southeast University, Nanjing 210096, China |
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Abstract: | The dynamical probe method for non-stationary heat equation is developed recently, which aims to detect an unknown inclusion of conductive material from the boundary measurement data. The Runge approximation is used to define some indicator function for this method, which is a mathematical testing machine to detect the inclusion. A numerical realization of the Runge approximation is the key to this method. By using a regularizing method, a realization scheme is given for the Runge approximation, and numerical examples are given to show the validity of the dynamical probe method. |
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Keywords: | Inverse problem Heat conduction Probe method Numerics |
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