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方法——高阶间断伽辽金时域有限元方法.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,方法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矢量基函数的方法相比,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.
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.
出处
《计算物理》
CSCD
北大核心
2015年第4期449-454,共6页
Chinese Journal of Computational Physics
基金
国家重点基础研究发展计划(2013CB328904)
国家自然科学基金重点项目(61431014)资助
