A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media

A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media
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DOI:
10.1109/tap.2012.2186273
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发表时间:
2012-01
影响因子:
5.7
通讯作者:
S. Gedney;John C. Young;T. Kramer;J. Roden
S. Gedney;John C. Young;T. Kramer;J. Roden
中科院分区:
计算机科学2区
文献类型:
--
作者:
S. Gedney;John C. Young;T. Kramer;J. Roden

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提出了一种求解含时麦克斯韦方程组的离散Galerkin时域有限元法。采用辅助微分方程(ADE)方法来描述本构关系。该方法适用于德鲁德材料,以及多极德拜和洛伦兹材料。提出了一种高阶龙格-库塔时间积分格式的有效实现方法。该方法是有效的,并表现出高阶收敛。
A method is proposed for solving the time-dependent Maxwell's equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media. An auxiliary differential equation (ADE) method is used to represent the constitutive relations. The method is applied to Drude materials, as well as to multiple pole Debye and Lorentz materials. An efficient implementation for high-order Runge-Kutta time integration schemes is presented. The method is validated and is shown to exhibit high-order convergence.