| 各向异性电阻抗成像问题的变分正则化方法 |
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| 引用本文： | 闫俐,许作良.各向异性电阻抗成像问题的变分正则化方法[J].数值计算与计算机应用,2005,26(4):312-320. |
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| 作者姓名： | 闫俐 许作良 |
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| 作者单位： | 中国人民大学信息学院,北京,100872 |
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| 基金项目： | 国家自然科学基金资助项目(10471149)． |
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| 摘 要： | 本文讨论一种简单情形的二维各向异性电阻抗成像问题,我们基于边界量测信息,即给定 边界上的Dirichlet和Neumann数据,利用有限元、变分方法、最小二乘和正则化方法, 建立了识别内部电导率分布的数值迭代格式．数值算例表明,该方法是可行、有效的．
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| 关 键 词： | 电阻抗成像 参数识别 各向异性 |
| 修稿时间： | 2004年8月20日 |
A VARIATIONAL REGULARIZATION METHOD FOR ELECTRICAL IMPEDANCE TOMOGRAPHY IN ANISOTROPIC MEDIUM |
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| Yan Li,Xu Zuoliang.A VARIATIONAL REGULARIZATION METHOD FOR ELECTRICAL IMPEDANCE TOMOGRAPHY IN ANISOTROPIC MEDIUM[J].Journal on Numerical Methods and Computer Applications,2005,26(4):312-320. |
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| Authors: | Yan Li Xu Zuoliang |
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| Abstract: | In this paper, we discuss two-dimensional electrical impedance tomography (EIT) problem in anisotropic medium. In a simple case, we seek to recover the internal conductivity from the knowledge of boundary i.e. Dirichlet and Neumann boundary data. A numerical iterative algorithm is presented to solve the problem by using finite element method, variational method, output least squares and reg ularization. The numerical results show that the present approach is feasible and effective. |
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| Keywords: | Electrical impedance tomography Parameter identification aniso tropic |
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