Efficient Jacobian Matrix Determination for H~2 Representations of Nonlinear Electrostatic Surface Integral Equations

John C. Young; Robert J. Adams; Stephen D. Gedney

首页> 外文期刊>Applied Computational Electromagnetics Society journal >Efficient Jacobian Matrix Determination for H~2 Representations of Nonlinear Electrostatic Surface Integral Equations

【24h】

Efficient Jacobian Matrix Determination for H~2 Representations of Nonlinear Electrostatic Surface Integral Equations

机译：高效的雅比亚矩阵确定非线性静电表面整体方程的H〜2表示

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, a nonlinear electrostatic surfaceintegral equation is presented that is suitable for predictingcorrosion-related fields. Nonlinear behavior arises due toelectrochemical reactions at polarized surfaces. Hierarchical H2matrices are used to compress the discretized integral equationfor the fast solution of large problems. A technique based onrandomized linear algebra is discussed for the efficientcomputation of the Jacobian matrix required at each iteration ofa nonlinear solution.

机译：本文，非线性静电表面提出了适合于预测的整体方程腐蚀相关的字段。由于非线性行为而产生偏振表面的电化学反应。分层H2 矩阵用于压缩离散的整体方程对于大问题的快速解决方案。一种基于的技术讨论随机的线性代数用于高效计算每次迭代时所需的雅可比矩阵非线性解决方案。

著录项

来源
《Applied Computational Electromagnetics Society journal》 |2020年第11期|1264-1265|共2页
作者
John C. Young; Robert J. Adams; Stephen D. Gedney;
展开▼
作者单位

Depatrment of Electrical &Computer EngineeringUniversity of KentuckyLexington KY USA;

Depatrment of Electrical &Computer EngineeringUniversity of KentuckyLexington KY USA;

Department of ElectricalEngineeringUniversity of Colorado-DenverDenver CO USA;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
corrosion-related fields; hierarchical matrices; nonlinear integral equation; randomized linear algebra;

机译：腐蚀相关的字段;分层矩阵;非线性整体方程;随机线性代数;

相似文献

外文文献
中文文献
专利

1. An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparse-matrix canonical-grid method [J] . Xia M.Y., Chan C.H., Li S.Q., IEEE Transactions on Antennas and Propagation . 2003,第6期

机译：使用单积分方程和多级稀疏矩阵规范网格方法对粗糙表面进行电磁散射的有效算法
2. An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparse-matrix canonical-grid method [J] . Xia M.Y., Chan C.H., Li S.Q., IEEE Transactions on Antennas and Propagation . 2003,第6期

机译：使用单积分方程和多级稀疏矩阵规范网格方法对粗糙表面进行电磁散射的有效算法
3. An Incremental Harmonic Balance Method With a General Formula of Jacobian Matrix and a Direct Construction Method in Stability Analysis of Periodic Responses of General Nonlinear Delay Differential Equations [J] . Wang Xuefeng, Zhu Weidong, Zhao Xi Journal of Applied Mechanics: Transactions of the ASME . 2019,第6期

机译：具有雅加诺矩阵通式的增量谐波平衡方法及一般非线性延迟微分方程周期响应稳定性分析中的直接施工方法
4. Efficient Jacobian Matrix Determination for H^2 Representations of Nonlinear Electrostatic Surface Integral Equations [C] . John C. Young, Robert J. Adams, Stephen D. Gedney International Applied Computational Electromagnetics Society Symposium . 2020

机译：非线性静电表面积分方程的H ^ 2表示的有效Jacobian矩阵确定
5. PARABOLIC COHOMOLOGIES AND GENERALIZED CUSP FORMS OF WEIGHT THREE ASSOCIATED TO WEIERSTRASS EQUATIONS OVER FUNCTION FIELDS (MONODROMY REPRESENTATION, ELLIPTIC SURFACE, EICHLER INTEGRAL, PAIRING, HODGE FILTRATION). [D] . ENDO, YOUICHI. 1985

机译：在功能域（单色表示，椭圆曲面，Eichler积分，成对，HODGE过滤）上与Weierstras方程相关联的抛物线同调性和广义三项式的权重。
6. Generalized nonlinear Schrödinger equations describing the Second Harmonic Generation of femtosecond pulse containing a few cycles and their integrals of motion [O] . Vyacheslav A. Trofimov, Svetlana Stepanenko, Alexander Razgulin 2019

机译：描述了含有几个循环的二手脉冲的第二次谐波生成的广义非线性Schrödinger方程及其运动积分
7. An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparse-matrix canonical-grid method [O] . M. Y. Xia, C. H. Chan, S. Q. Li, 2003

机译：一种利用单积分方程和多级稀疏矩阵正则网格方法的粗糙表面电磁散射的有效算法
8. Parallel Computation of the Jacobian Matrix for Nonlinear Equation Solvers Using MATLAB. [R] . Rose, G. K., Nguyen, D. T., Newman, B. A. 2017

机译：用maTLaB并行计算非线性方程组雅可比矩阵。

Efficient Jacobian Matrix Determination for H~2 Representations of Nonlinear Electrostatic Surface Integral Equations

摘要

著录项

相似文献

相关主题

期刊订阅