WETD /spl minus/ a finite element time-domain approach for solving Maxwell's equations

Lee J.-F.

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WETD /spl minus/ a finite element time-domain approach for solving Maxwell's equations

机译：WETD / spl minus /用于求解麦克斯韦方程的有限元时域方法

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A family of finite element time-domain methods, WETD(/spl Theta/), is derived to solve the time-varying Maxwell's equations. The proposed methodology is based upon the application of the Faedo-Galerkin procedure and the use of the Whitney 1-forms as bases to result in an ordinary differential equation in time for the electric field. Moreover, the resultant ordinary differential equation is solved by employing central and/or backward difference approximations. Since the WETD methods presented here are used in conjunction with tetrahedral finite element meshes, it imposes no limitations on the problem geometry. Also, in this contribution, a general stability condition has been derived for the WETD(/spl Theta/) method of which the central and backward differences are special cases corresponding to /spl Theta/=1 and /spl Theta/=0, respectively.

机译：导出了一系列时域有限元方法WETD（/ spl Theta /）来求解随时间变化的麦克斯韦方程。所提出的方法基于Faedo-Galerkin程序的应用以及使用Whitney 1形式作为基础的结果，从而及时得出电场的常微分方程。此外，通过采用中心和/或后向差分近似来求解所得的常微分方程。由于此处介绍的WETD方法与四面体有限元网格结合使用，因此对问题的几何形状没有任何限制。同样，在此贡献中，已经为WETD（/ spl Theta /）方法导出了一个总体稳定性条件，其中心差和后向差是分别对应于/ spl Theta / = 1和/ spl Theta / = 0的特殊情况。。

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《IEEE Microwave and Guided Wave Letters》 |1994年第1期|P.11-13|共3页
作者
Lee J.-F.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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1. The finite-difference time-domain (FDTD) and the finite-volume time-domain (FVTD) methods in solving Maxwell's equations [J] . Yee K.S., Chen J.S. IEEE Transactions on Antennas and Propagation . 1997,第3期

机译：求解麦克斯韦方程的有限差分时域（FDTD）和有限体积时域（FVTD）方法
2. A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids [J] . Rodrigue G., White D. SIAM Journal on Scientific Computing . 2001,第3期

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3. The finite-difference time-domain (FDTD) and the finite-volumetime-domain (FVTD) methods in solving Maxwell's equations [J] . Yee K.S., Chen J.S. IEEE Transactions on Antennas and Propagation . 1997,第3期

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5. Development and evaluation of novel finite-difference time-domain methods for solving Maxwell's equations. [D] . Sun, Guilin. 2005

机译：求解麦克斯韦方程组的新型时域有限差分方法的开发和评估。
6. On the immersed interface method for solving time-domain Maxwell’s equations in materials with curved dielectric interfaces [O] . Shaozhong Deng -1

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7. Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media [O] . O L. Teixeira, Senior Member 2012

机译：复杂介质中maxwell方程的时域有限差分和有限元方法
8. Application of a Finite-Volume Time-Domain Maxwell Equation Solver to Three-Dimensional Objects [R] . Harmon, F. G. 1996

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WETD /spl minus/ a finite element time-domain approach for solving Maxwell's equations

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