Complete Radiation Boundary Conditions for Maxwell’s Equations

Thomas Hagstrom; John Lagrone

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Complete Radiation Boundary Conditions for Maxwell’s Equations

机译：麦克斯韦方程的完整辐射边界条件

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摘要

We describe the construction, analysis, and imple-mentation of arbitrary-order local radiation boundary conditionsequences for Maxwell’s equations. In particular we use thecomplete radiation boundary conditions which implicitly applyuniformly accurate exponentially convergent rational approxi-mants to the exact radiation boundary conditions. Numericalexperiments for waveguide and free space problems using high-order discontinuous Galerkin spatial discretizations are pre-sented.

机译：我们描述了建筑，分析和实施 - 术语局部局部辐射边界条件麦克斯韦方程的序列。特别是我们使用完整的辐射边界条件，隐含地申请统一准确的指数收敛理性近似狭隘的辐射边界条件。数号使用高的波导和自由空间问题的实验订单不连续的Galerkin空间离散化是预先的发了。

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《Applied Computational Electromagnetics Society journal》 |2020年第11期|1290-1291|共2页
作者
Thomas Hagstrom; John Lagrone;
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作者单位

Department of MathematicsSouthern Methodist UniversityDallas TX USA;

Department of MathematicsTulane UniversityNew Orleans LA USA;

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原文格式 PDF
正文语种 eng
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关键词
radiation boundary conditions; time-domain methods.;

机译：辐射边界条件;时间域方法。;

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1. RADIATION BOUNDARY CONDITIONS FOR MAXWELL'S EQUATIONS: A REVIEW OF ACCURATE TIME-DOMAIN FORMULATIONS [J] . Thomas Hagstrom, Stephen Lau Journal of Computational Mathematics . 2007,第3期

机译：麦克斯韦方程组的辐射边界条件：精确的时域公式综述
2. Convergence analysis of ahp-finite element approximation of the time-harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary [J] . Nicaise Serge, Tomezyk Jerome Numerical Methods for Partial Differential Equations: An International Journal . 2020,第6期

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3. Stability Estimates for Solutions of Boundary Control Problems for Maxwell's Equations with Mixed Boundary Conditions [J] . G. V. Alekseev, R. V. Brizitskii, RAS V. G. Romanov Doklady. Mathematics . 2012,第3期

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4. Complete Radiation Boundary Conditions for Maxwell's Equations [C] . Thomas Hagstrom, John Lagrone International Applied Computational Electromagnetics Society Symposium . 2020

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5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

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6. Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory [O] . Alexander Felix Beckmann, Anirudh Singh Rana, Manuel Torrilhon, 2018

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7. Artificial Boundary Conditions for a Transmission Boundary-Value Problem for the Time-Harmonic Maxwell Equations without Displacement Currents [O] . Reißel Martin 1992

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8. Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations [R] . Hagstrom, T. , Lau, S. 2007

机译：麦克斯韦方程组的辐射边界条件：精确时域公式的综述

Complete Radiation Boundary Conditions for Maxwell’s Equations

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