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| Incomplete Cholesky Conjugate Gradient Method for the Three- dimensional Forward Problem in Magnetic Induction Tomography Using Finite Element Method |
| XUAN Yang① WANG Xu①② LIU Cheng’an① YANG Dan② ZHANG Zhimei② |
①(Sino-Dutch Biomedical and Information Engineering School, Northeastern University, Shenyang 110004, China)
②(College of Information Science and Engineering, Northeastern University, Shenyang 110004, China) |
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Abstract In 3D forward problem of Magnetic Induction Tomography (MIT), the problems are slow computation speeds and incorrect results due to round-off errors, when calculating the finite element equations with the direct method. Incomplete Cholesky Conjugate Gradient (ICCG) iteration method is used to solve these problems. Round-off errors are compensated by iteration method. An Finite-Element Model (FEM) is built based on the ANSYS software. The FEM equations are solved by the ICCG method. The optimal convergence tolerance value is calculated. Simulation result shows that the ICCG method has advantages in speed and stability compared with direct and Jacobi Conjugate Gradient (JCG) method. The results show that the ICCG method is not affected by meshing perturbation, it can solve the 3D forward problem of MIT correctly.
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Received: 15 April 2015
Published: 01 November 2015
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| Fund: The Fundmental Reseach Funds for the Central Universities of China (N130404004) |
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Corresponding Authors:
XUAN Yang
E-mail: xuany_neu@163.com
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