Corrigendum
Corrigendum
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DOI：
10.1080/17415977.2016.1264148
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发表时间：
2016
影响因子：
1.3
通讯作者：
Crabb M
中科院分区：
文献类型：
--
作者：
Crabb M
研究了方域上三角形高阶分段多项式有限元法（p-FEM）的电阻抗断层成像正问题的收敛性。本文概述了完整电极模型（CEM）的p-FEM计算，并提出了一种新的方域上的CEM解析解。误差作为网格细化和计算时间的函数，以及作为接触阻抗的函数的收敛速度，计算数值不同的多项式逼近阶。结果表明，p-FEM可以在更少的计算时间内产生更精确的正解，这意味着更准确的模拟内部电位，电极电压和电导率雅可比。
A convergence study of the forward problem of electrical impedance tomography is performed using triangular high-order piecewise polynomial finite-element methods (p-FEM) on a square domain. The computation ofp-FEM for the complete electrode model (CEM) is outlined and a novel analytic solution to the CEM on a square domain is presented. Errors as a function of mesh-refinement and computational time, as well as convergence rates as a function of contact impedance, are computed numerically for different polynomial approximation orders. It is demonstrated thatp-FEM can generate more accurate forward solutions in less computational time, which implies more accurate simulated interior potentials, electrode voltages and conductivity Jacobians.