| 电容提取的新摄动方程及小波边界元解法 |
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| 引用本文： | 校金友,曹衍闯,Johannes Tausch,张铎. 电容提取的新摄动方程及小波边界元解法[J]. 计算物理, 2010, 27(2): 240-244 |
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| 作者姓名： | 校金友 曹衍闯 Johannes Tausch 张铎 |
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| 作者单位： | 1. 西北工业大学航天学院, 陕西 西安 710072;2. Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA |
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| 基金项目： | 西北工业大学博士论文创新基金(CX200601);;国家自然科学基金(10674109)资助项目 |
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| 摘 要： | 提出一种解决含高电容率介质结构电容提取问题的新摄动方程,使计算时间减少一半.建立新摄动方程的快速小波Galerkin边界元解法.算例证明新摄动方程精度高且受介质电容率影响小;用小波Galerkin边界元求解的效率高,时间和内存消耗达到最优O(N)(N为未知量数目).
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| 关 键 词： | 电容提取 等效电荷法 高电容率 小波Galerkin边界元 |
| 收稿时间： | 2008-10-20 |
| 修稿时间： | 2009-05-16 |
Improved Perturbation Approach and Fast Wavelet Galerkin BEM for Capacitance Extraction |
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| XIAO Jinyou,CAO Yanchuang,TAUSCH Johannes,ZHANG Duo. Improved Perturbation Approach and Fast Wavelet Galerkin BEM for Capacitance Extraction[J]. Chinese Journal of Computational Physics, 2010, 27(2): 240-244 |
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| Authors: | XIAO Jinyou CAO Yanchuang TAUSCH Johannes ZHANG Duo |
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| Affiliation: | 1. College of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;2. Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA |
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| Abstract: | We describe an improved perturbation approach for electrostatic analysis of three-dimensional structures consisting of dielectrics with high-permittivity ratios. Unlike original perturbation approach, the new approach uses only one system matrix with different right hand sides. A fast wavelet Galerkin boundary element method (WGBEM) is used to solve integral equations. Compared with wavelets defined in parameter spaces in a conventional WGBEM, the wavelets here are directly constructed on usual boundary ele... |
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| Keywords: | capacitance extraction equivalent charge formulation high-permittivity ratio wavelet Galerkin BEM |
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