de Faria, JR and Lesnic, D (2015) Topological Bayesian inversion for the inverse conductivity problem. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 3 (1). 010449-1 - 010449-7. ISSN 2359-0793
Abstract
The employment of topological derivative concept is considered to propose a new opti- mization algorithm for the inverse conductivity problem. Since this inverse problem is nonlinear and ill-posed it is necessary to incorporate a prior knowledge about the unknown conductivity. In particular, we apply the Bayes theorem to add the assumption that we have just one small ball- shaped inclusion, which must be at a certain distance from the boundary of the domain. As the main emphasis of this paper is to investigate numerically the proposed approach, we shall present some numerical results to show that accurate results, even for noisy data, can be obtained with small computational cost.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | inverse conductivity problem, topological derivative, Bayesian inversion |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Oct 2015 08:31 |
Last Modified: | 09 Oct 2015 08:31 |
Published Version: | http://dx.doi.org/10.5540/03.2015.003.01.0449 |
Status: | Published |
Publisher: | SBMAC |
Identification Number: | 10.5540/03.2015.003.01.0449 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90709 |