Domain Decomposition Method with Lagrange Multipliers for the Analysis of Electromagnetic Scattering L Zhi-qing1,AN Xiang2,HONG Wei1

P; P

您当前的位置：

首页 >

文章列表页 >

Domain Decomposition Method with Lagrange Multipliers for the Analysis of Electromagnetic Scattering L Zhi-qing¹,AN Xiang²,HONG Wei¹

更新时间：2025-07-16

- Domain Decomposition Method with Lagrange Multipliers for the Analysis of Electromagnetic Scattering L Zhi-qing¹,AN Xiang²,HONG Wei¹
- Acta Electronica Sinica Vol. 35, Issue 6, Pages: 1069-1073(2007)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN011
- Published：2007
- 稿件说明：
移动端阅览
P, P. Domain Decomposition Method with Lagrange Multipliers for the Analysis of Electromagnetic Scattering L Zhi-qing¹,AN Xiang²,HONG Wei¹[J]. Acta Electronica Sinica, 2007, 35(6): 1069-1073.
DOI：

P, P. Domain Decomposition Method with Lagrange Multipliers for the Analysis of Electromagnetic Scattering L Zhi-qing¹,AN Xiang²,HONG Wei¹[J]. Acta Electronica Sinica, 2007, 35(6): 1069-1073. DOI：

摘要

针对电磁散射问题

提出了一种基于广义变分原理的区域分解算法.将原求解区域划分为若干个不重叠的子区域

引入拉格朗日乘子法以满足相邻子区域之间场的连续性要求

并建立其修正泛函

使原问题转化为求解拉格朗日乘子.研究了子区域系数矩阵的可逆性.为了进一步提高效率

采用了重启的广义最小残量法为求解器.数值算例验证了本文方法的准确性和有效性.

Abstract

A domain decomposition method (DDM) based on the generalized variational principle is presented for the analysis of electromagnetic scattering problems.The original computation domain is partitioned into nonoverlapping subdomains.Then the modified functional for the original problem was established with help of Lagrange multipliers

which also enforce the continuity conditions at the interface nodes between neighboring subdomains.The method leads to a reduced linear system of equations where only the Lagrange multipliers occur.The invertibility of the coefficient matrix on each subdomain is studied.To improve the algorithm further

the restarted generalized minimum residual method (GRMES) is used as the solver because of its superlinear convergence behavior.The proposed method is very efficient

in particular for the electrically large problems.The validity and computational efficiency have been verified by some numerical examples.

关键词

Keywords

references

Views

655

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Using Element Combination Technique in DDM for the Optimization of RCS L Zhi-qing¹,AN Xiang²,HONG Wei¹

Wide Angular Sweeping of Electromagnetic Scattering Based on Skeletonization

Scattering by a Homogeneous Anisotropic Elliptic Cylinder: Two-Dimensional Case

A 3D FDTD Implementation of Electromagnetic Scattering by Magnetized Plasma Medium Based on Laplace Transfer Principle

Evaluation of Electromagnetic Scattering by Electrically Large Bodies with Cracks and Cavities on Their Surfaces

Related Author

Zhi-qing

AN Xiang

XUE Bo-wen

GU Si-zhuo

PAN Xiao-min

SHENG Xin-qing

Related Institution

State Key Laboratory of Millimeter Waves, Southeast University

State Key Laboratory of Antenna and Microwave Technology,Xidian University

State Key Laboratory of Millimeter WavesSoutheast UniversityNanjingJiangsu 210096China

State Key Laboratory of Antenna and Microwave TechnologyXidian UniversityXi'anShaanxi 710071China

School of Integrated Circuits and Eletronics, Beijing Institute of Technology

⁰