间断伽辽金法
麦克斯韦方程组
六面体
耗散系统
多边形网格
数学
伽辽金法
应用数学
基函数
电磁场求解器
跳跃
领域(数学分析)
数学分析
有限元法
几何学
物理
电磁场
非齐次电磁波方程
热力学
量子力学
光场
作者
Gary B. Cohen,X. Ferrières,Sébastien Pernet
标识
DOI:10.1016/j.jcp.2006.01.004
摘要
In this paper, we present a non-dissipative spatial high-order discontinuous Galerkin method to solve the Maxwell equations in the time domain. The non-intuitive choice of the space of approximation and the basis functions induce an important gain for mass, stiffness and jump matrices in terms of memory. This spatial approximation, combined with a leapfrog scheme in time, leads also to a fast explicit and accurate method. A study of the dispersive error is carried out and a stability condition for the proposed scheme is established. Some comparisons with other schemes are presented to validate the new scheme and to point out its advantages. Finally, in order to improve the efficiency of the method in terms of CPU time on general unstructured meshes, a strategy of local time-stepping is proposed.
科研通智能强力驱动
Strongly Powered by AbleSci AI