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麦克斯韦方程反演的大范围收敛共轭斜量法

王迎

湖北文理学院学报Issue(5):5-8,4.
湖北文理学院学报Issue(5):5-8,4.

麦克斯韦方程反演的大范围收敛共轭斜量法

A Widely Convergent Conjugate Gradient Method for Maxwell Equation Inversion

王迎1

作者信息

  • 1. 黑龙江工业学院 机械工程系,黑龙江 鸡西 158100
  • 折叠

摘要

Abstract

For the problem of conductivity parameter inversion in the Maxwell equation, It constructs a regularization-conjugate gradient inversion algorithm with a widely convergence. The widely convergent numerical algorithm which can solve the inversion problem of Maxwell equation is gained by organically combining the Homotopy method with global convergence for solving the nonlinear problems, and the conjugate gradient algorithm for solving the large-scale optimization problems with the regularization method Tikhonov for solving the ill-posed problems. The constructed algorithm is used to solve the inverse problem of conductivity parameter and solves the puzzle that the solution falls into the local minimal value in the solving process. The experimental result shows that the algorithm is effective, and can be applied in the parameter identification problems of other types.

关键词

麦克斯韦方程/反演/同伦法/共轭斜量法

Key words

Maxwell equation/Inversion/Homotopy method/Conjugate gradient algorithm

分类

数理科学

引用本文复制引用

王迎..麦克斯韦方程反演的大范围收敛共轭斜量法[J].湖北文理学院学报,2014,(5):5-8,4.

湖北文理学院学报

OACHSSCD

2095-4476

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