Mathematical and Computational Applications | |
A Generalized Cross Validation Method for the Inverse Problem of 3-D Maxwell's Equation | |
Ding, Liang1  | |
关键词: Maxwellâs Equation; Nonlinear; Ill-posed; Inversion; Damped Gauss-Newton; GCV; | |
DOI : 10.3390/mca15050784 | |
学科分类:计算数学 | |
来源: mdpi | |
【 摘 要 】
The inverse problem of estimation of the electrical conductivity in the Maxwellâs equation is considered, which is reformulated as a nonlinear equation. The Generalized Cross Validation is used to estimate the global regularization parameter and the damped Gauss-Newton is applied to impose local regularization. The damped Gauss-Newton method requires no calculation of the Hessian matrix which is expensive for traditional Newton method. GCV method decreases the computational expense and overcomes the influence of nonlinearity and ill-posedness. The results of numerical simulation testify that this method is efficient.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201902021802215ZK.pdf | 183KB | download |