Introduction to Applications of Numerical Analysis in Time Domain Computational Electromagnetism

机译：数值分析在时域计算电磁中的应用简介

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We discuss two techniques for the solution of the time domain Maxwell system. The first is a partial differential equation based approach using conforming finite elements and implicit time stepping that is suitable when stiff problems are encountered, and where the medium is inhomogeneous. In particular we analyze the use of edge elements and certain A-stable schemes using the Fourier-Laplace transform. For a homogeneous medium, an integral equation approach can be used and we describe and analyze the convolution quadrature method applied to the electric field integral equation. In either case we emphasize that the convergence analysis depends on energy estimates for the continuous problem.

机译：我们讨论时域Maxwell系统解决方案的两种技术。第一种是基于局部微分方程的方法，该方法使用一致的有限元和隐式时间步长，适用于遇到刚性问题且介质不均匀的情况。特别是，我们使用傅里叶-拉普拉斯变换分析了边缘元素和某些A稳定方案的使用。对于均匀介质，可以使用积分方程方法，并且我们描述和分析应用于电场积分方程的卷积求积法。无论哪种情况，我们都强调收敛分析取决于连续问题的能量估计。

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来源
《Frontiers in numerical analysis - Durham 2010》|2010年|p.149-225|共77页
会议地点 Durham(GB)
作者
Qiang Chen; Peter Monk;
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Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;

Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
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Introduction to Applications of Numerical Analysis in Time Domain Computational Electromagnetism

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