Numerical methods for piecewise constant Robin coefficient

Volume 17, Issue 1, pp 96-105 http://dx.doi.org/10.22436/jmcs.017.01.09

Publication Date: March 15, 2017 Submission Date: December 24, 2015

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Authors

Yanbo Ma - College of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong, 521041, P. R. China.

Abstract

In this paper, we consider a numerical method for reconstructing piecewise constant Robin coefficients from boundary measurements. An adaptive total variation functional is proposed. The boundary integral equation method is utilized for discretizing the functional, and the Gauss-Newton method is employed for solving the non-linear problem.

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Keywords

• Inverse problem
• ill-posedness
• boundary integral equations
• total variation
• Robin coefficient

MSC

•  45Q05
•  65N21

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