Solution of time Varying Magnetic field by Applying Absorbing Boundary Condition

机译：利用吸收边界条件求解时变磁场

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The need for absorbing boundary condition and coordinate stretching arises when one wishes to simulate the extension to infinity on a finite domain of computation for a problem. This paper poses a time varying magnetic field problem in cylindrical coordinate for two regions under consideration with different permeabilities for each one. The linear partial differential equation governing this problem is in the form of Helmholtz equation. Subsequently, the paper develops the proper absorbing boundary operator for the problem. It uses Classical Gauss-Seidel Algorithm for the Finite difference (FD) solution of linear partial differential equation with the constructed absorbing boundary condition in order to investigate its effect on the solution of the problem.

机译：当一个人希望在问题的有限计算域上模拟无穷大的扩展时，就需要吸收边界条件和坐标拉伸。本文提出了两个区域在圆柱坐标系中的时变磁场问题，其中每个区域的磁导率不同。控制该问题的线性偏微分方程采用亥姆霍兹方程的形式。随后，本文针对该问题开发了合适的吸收边界算子。针对构造有吸收边界条件的线性偏微分方程的有限差分（FD）解，使用经典高斯-赛德尔算法进行研究，以研究其对问题解的影响。

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来源
《Computational methods in science and engineering: advances in computational science》|2008年|p.766-769|共4页
会议地点 Crete(GR);Crete(GR)
作者
E.Afjei; H.Shokri-Razaghi; H.Torkaman; A.Siadatan;
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作者单位

Department of Electrical and Computer EngineeringrnShahid Beheshti University, Saadat Research CenterrnIran-Tehran;

Department of Electrical and Computer EngineeringrnShahid Beheshti University, Saadat Research CenterrnIran-Tehran;

Department of Electrical and Computer EngineeringrnShahid Beheshti University, Saadat Research CenterrnIran-Tehran;

Department of Electrical and Computer EngineeringrnShahid Beheshti University, Saadat Research CenterrnIran-Tehran;

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原文格式 PDF
正文语种 eng
中图分类计算数学的应用;
关键词
Absorbing boundary condition; Finite differenc; Helmholtz equation;

机译：吸收边界条件；有限的差异；亥姆霍兹方程;

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专利

1. Total-field absorbing boundary conditions for the time-domain electromagnetic field equations [J] . Mur G. IEEE Transactions on Electromagnetic Compatibility . 1998,第2期

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2. Slowly varying envelope simulation of optical waves in time domain with transparent and absorbing boundary conditions [J] . Ma F. Journal of Lightwave Technology . 1997,第10期

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3. General decay of solutions of quasilinear wave equation with time-varying delay in the boundary feedback and acoustic boundary conditions [J] . Lee Mi Jin, Park Jong Yeoul, Park Sun-Hye Mathematical Methods in the Applied Sciences . 2017,第12期

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4. Comparison of Absorbing Boundary Conditions of FDTD in High Frequency Electromagnetic Field Simulation [C] . Hui Xu, Hailian Huang, Yuqiu Chen International conference on electronic measurement instruments;ICEMI' 2009 . 2009

机译：FDTD在高频电磁场模拟中吸收边界条件的比较
5. Absorbing Boundary Conditions in Quantum Relativistic Mechanics for Spinless Particles Subject to a Classical Electromagnetic Field. [D] . Sater, Julien. 2013

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6. Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations [O] . Carlos Spa, Pedro Reche-López, Erwin Hernández -1

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7. Computation of electromagnetic fields in assemblages of biological cells using a modified finite difference time domain scheme. Computational electromagnetic methods using quasi-static approximate version of FDTD, modified Berenger absorbing boundary and Floquet periodic boundary conditions to investigate the phenomena in the interaction between EM fields and biological systems. [O] . See Chan H. 2007

机译：使用修改的有限差分时域方案计算生物细胞集合中的电磁场。使用准静态近似形式的FDTD，改进的Berenger吸收边界和Floquet周期边界条件的计算电磁方法，以研究EM场与生物系统之间相互作用的现象。
8. Total-Field Absorbing Boundary Conditions for the Time-Domain Electromagnetic-211 Field Equations [R] . Mur, G. 1997

机译：时域电磁-211场方程的全场吸收边界条件

Solution of time Varying Magnetic field by Applying Absorbing Boundary Condition

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