| 高阶间断伽辽金时域有限元方法分析三维谐振腔 |
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| 引用本文： | 叶珍宝,周海京.高阶间断伽辽金时域有限元方法分析三维谐振腔[J].计算物理,2015,32(4):449-454. |
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| 作者姓名： | 叶珍宝 周海京 |
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| 作者单位： | 北京应用物理与计算数学研究所, 北京 100094 |
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| 基金项目： | 国家重点基础研究发展计划，国家自然科学基金重点项目 |
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| 摘 要： | 从一阶麦克斯韦旋度方程出发,研究一种区域分解时域有限元目的——高阶间断伽辽金时域有限元目的.其中对时间的离散采用Crank-Nicolson差分格式,电场和磁场采用相同阶数的高阶矢量基函数展开.分析三维谐振腔问题,数值结果表明,目的 中时间步长的选取可以摆脱CFL稳定性条件的限制;此外,与基于常用Whitney矢量基函数的目的 相比,采用高阶矢量基函数可以明显地提高计算精度及计算效率.
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| 关 键 词： | 区域分解 间断伽辽金时域有限元方法 Crank-Nicolson差分 高阶矢量基函数 |
| 收稿时间： | 2014-06-12 |
| 修稿时间： | 2014-10-11 |
High-order Discontinuous Galerkin Time-Domain Finite-Element Method for Three-dimensional Cavities |
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| YE Zhenbao,ZHOU Haijing.High-order Discontinuous Galerkin Time-Domain Finite-Element Method for Three-dimensional Cavities[J].Chinese Journal of Computational Physics,2015,32(4):449-454. |
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| Authors: | YE Zhenbao ZHOU Haijing |
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| Institution: | Institute of Applied Physics and Computational Mathematics, Beijing 100094, China |
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| Abstract: | A high-order discontinuous Galerkin time-domain finite-element method based on Maxwell's curl equations is presented. It is a kind of domain decomposition method. Crank-Nicolson difference scheme is used for time-partial equation. Electric and magnetic fields are expanded using high-order vector basis functions with same order. Three-dimensional cavities are simulated to demonstrate accuracy and efficiency of the method. It shows that time step size is no longer restricted by Courant-Friedrich-Levy(CFL) condition.High-order vector basis function could improve accuracy compared with Whitney 1-form vector basis function. |
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| Keywords: | domain decomposition discontinuous Galerkin time-domain finite-element method Crank-Nicolson difference scheme high-order vector basis function |
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