文章基本信息

标题：Solving the complete-electrode direct model of ERT using the boundary element method and the method of fundamental solutions
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作者：T. E. Dyhoum ; D. Lesnic ; R. G. Aykroyd 等
期刊名称：Electronic Journal of Boundary Elements
印刷版ISSN：1542-3891
电子版ISSN：1542-3891
出版年度：2014
卷号：12
期号：3
语种：English
出版社：Scholarly Communication Center, Rutgers University
摘要：This paper discusses solving the forward problem for electrical resistance tomography (ERT). The mathematical model is governed by Laplace's equation with the most general boundary conditions forming the so-called complete electrode model (CEM). We examine this problem in simply-connected and multiply - connected domains (rigid inclusion, cavity and composite bi-material). This direct problem is solved numerically using the boundary element method (BEM) and the method of fundamental solutions (MFS). The resulting BEM and MFS solutions are compared in terms of accuracy, convergence and stability. Anticipating the findings, we report that the BEM provides a convergent and stable solution, whilst the MFS places some restrictions on the number and location of the source points.
关键词：Electrical impedance/resistance tomography;Complete-electrode model;Boundary element method;Method of fundamental solutions