A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain
A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain
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DOI：
10.1007/s00466-009-0377-4
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发表时间：
2009-02
影响因子：
4.1
通讯作者：
R. Davies;K. Morgan;O. Hassan
中科院分区：
文献类型：
--
作者：
R. Davies;K. Morgan;O. Hassan
研究了用于计算电磁学二维问题模拟的混合高阶时间域有限元方法的发展。选择的应用领域是电磁散射领域。所采用的空间近似结合了连续Galerkin谱单元方法和高阶间断Galerkin方法。时间离散化是通过四阶龙格-库塔程序实现的。首先使用精确的解析解来验证该方法，然后对一些更具挑战性的例子展示了其数值性能。
The development of a hybrid high order time domain finite element solution procedure for the simulation of two dimensional problems in computational electromagnetics is considered. The chosen application area is that of electromagnetic scattering. The spatial approximation adopted incorporates both a continuous Galerkin spectral element method and a high order discontinuous Galerkin method. Temporal discretisation is achieved by means of a fourth order Runge–Kutta procedure. An exact analytical solution is employed initially to validate the procedure and the numerical performance is then demonstrated for a number of more challenging examples.