Time-Domain Integral Equation Solver Using Variable-Order Temporal Interpolators

Ghaffari-Miab M.; Valdes F.; Faraji-Dana R.; Michielssen E.

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Time-Domain Integral Equation Solver Using Variable-Order Temporal Interpolators

机译：使用可变阶时间插值器的时域积分方程求解器

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摘要

A novel, efficient, and simple modification to standard marching-on-in-time (MOT) based time-domain integral equation (TDIE) solvers is presented. It allows for the use of high-order temporal interpolators without the need to extrapolate and predict future unknowns. The order of these temporal interpolators is increased as the distance of source and testing quadrature points increases. The proposed TDIE solver significantly increases the accuracy of solutions by exploiting high-order temporal interpolation at no significant extra computational cost. Numerical examples are presented to validate the proposed method.

机译：提出了一种新颖，高效，简单的基于标准实时行进（MOT）的时域积分方程（TDIE）求解器的修改方法。它允许使用高阶时间插值器，而无需外推和预测未来的未知数。这些时间插值器的阶数随着源和测试正交点的距离增加而增加。所提出的TDIE求解器通过利用高阶时间插值极大地提高了求解的精度，而无需花费额外的计算成本。数值算例验证了该方法的有效性。

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来源
《Applied Computational Electromagnetics Society journal》 |2014年第2期|116-123|共8页
作者
Ghaffari-Miab M.; Valdes F.; Faraji-Dana R.; Michielssen E.;
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作者单位

Univ Tehran, Coll Engn, Sch Elect & Comp Engn, Ctr Excellence Appl Electromagnet Syst, Tehran, Iran|Univ Tehran, Dept Engn Sci, Coll Engn, Tehran, Iran;

Univ Michigan, Dept Elect Engn & Comp Sci, Radiat Lab, Ann Arbor, MI 48104 USA;

Univ Tehran, Coll Engn, Sch Elect & Comp Engn, Ctr Excellence Appl Electromagnet Syst, Tehran, Iran;

Univ Michigan, Dept Elect Engn & Comp Sci, Radiat Lab, Ann Arbor, MI 48104 USA;

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正文语种 eng
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关键词
Marching-on-in-time (MOT); temporal interpolator; time-domain integral equation (TDIE);

机译：时间行进（MOT）;时间插值器;时域积分方程（TDIE）;

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1. TIME-DOMAIN INTEGRAL EQUATION SOLVERS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS [J] . P. Wang, M. Y. Xia, J. M. Jin, Microwave and optical technology letters . 2007,第5期

机译：基于二次B样条时间基函数的时域积分方程求解
2. TEMPORAL ACCELERATION OF TIME-DOMAIN INTEGRAL-EQUATION SOLVERS FOR ELECTROMAGNETIC SCATTERING FROM OBJECTS RESIDING IN LOSSY MEDIA [J] . Pei-Lin Jiang, Eric Michielssen Microwave and optical technology letters . 2005,第3期

机译：基于有损介质中的电磁散射的时域积分方程解的时间加速
3. Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations [J] . Yang Y., Heydari M. H., Avazzadeh Z., Advances in Difference Equations . 2020,第a期

机译：Chebyshev小波求解非线性可变性积分方程的操作矩阵
4. A Nyström method for solving time-domain volume integral equations [C] . Chen, R.P., Li, D.J., Kong, Y.T., IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting . 2015

机译：时域体积积分方程的Nyström方法
5. An adaptive multiresolution time-domain integral equation electromagnetic solver. [D] . Zhou, Zhaoxian. 2005

机译：自适应多分辨率时域积分方程电磁求解器。
6. On the immersed interface method for solving time-domain Maxwell’s equations in materials with curved dielectric interfaces [O] . Shaozhong Deng -1

机译：关于在具有弯曲介电界面的材料中求解时域麦克斯韦方程的沉浸界面方法
7. A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering From Electrically Large Conducting Objects [O] . Yang Liu, Abdulkadir C. Yucel, Hakan Bagci, 2018

机译：用于分析电气大导电物体的瞬态散射分析的小波增强的PWTD加速时间域整体求解器
8. New Hybrid Method for Solving Time-Domain Integral Equations (One-Dimensional Scattering Problems) [R] . Wiemans, R. 1987

机译：一种求解时域积分方程的新混合方法（一维散射问题）

Time-Domain Integral Equation Solver Using Variable-Order Temporal Interpolators

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