hp-Finite element discretisation of the electrical impedance tomography problem

P.D. Ledger

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hp-Finite element discretisation of the electrical impedance tomography problem

机译：hp-Finite element discretisation of the electrical impedance tomography problem

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摘要

This paper is concerned with the accurate recovery of the permittivity and conductivity from the solution of the electrical impedance tomography (EIT) inverse problem, given the knowledge of either the Neumann to Dirichlet or the Dirichlet to Neumann map. The linearised EIT inverse problem for the Fourier regime is discretised by hp-finite elements, which allows the accurate calculation of the sensitivity matrix entries. The variational algorithm of Knowles (1998) 31 is extended to allow the recovery of both material parameters by solution of the EIT problem in the Laplace regime. The associated forward problem is again discretised by hp-finite elements. A series of numerical results are included to demonstrate the effectiveness of the proposed techniques.

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2012年第15期|154-176|共23页
作者
P.D. Ledger;
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作者单位

Civil and Computational Engineering Research Centre, College of Engineering, Swansea University, United Kingdom;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类自动化基础理论;
关键词
hp-finite elements; inverse problems; electrical impedance tomography;

hp-Finite element discretisation of the electrical impedance tomography problem

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