求解含时麦克斯韦方程组的无条件稳定算法
Beyond the poor man's implementation of unconditionally stable algorithms to solve the time-dependent Maxwell Equations
摘要:
对于最近提出的求解时间相关的麦克斯韦方程组的算法(参见Phys.Rev.EVol.64p.066705(2001)),我们构造了一个可变网格实现和一个改进的空间离散实现,通过构造保持了算法的无条件稳定性。我们发现,相应的算法的性能和准确性是显着的,并通过模拟各种物理模型系统说明其实际意义。
英文摘要:
For the recently introduced algorithms to solve the time-dependent Maxwell equations (see Phys.Rev.E Vol.64 p.066705 (2001)), we construct a variable grid implementation and an improved spatial discretization implementation that preserve the property of the algorithms to be unconditionally stable by construction. We find that the performance and accuracy of the corresponding algorithms are significant and illustrate their practical relevance by simulating various physical model systems.
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