Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media
Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media
复制标题
DOI：
10.1007/s10444-023-10029-z
复制
发表时间：
2023-05
影响因子：
1.7
通讯作者：
Meng Chen;Rong Gao;Yan He;L. Kong
中科院分区：
文献类型：
--
作者：
Meng Chen;Rong Gao;Yan He;L. Kong
最近，一种所谓的直接方法被开发出来，用于求解克尔型非线性介质中的二维麦克斯韦方程组。该方法没有迭代误差，比经典迭代方法更高效。我们通过证明 3D 麦克斯韦方程组的稳定性，从理论角度研究了该方法。数值结果验证了时间和空间上的二阶收敛速度。
Recently, a so-called direct method has been developed for solving 2D Maxwell’s equations in Kerr-type nonlinear media. This method is free of iteration error and more efficient than classical iterative method. We investigate this method from a theoretical point of view by proving the stability of 3D Maxwell’s equations. Numerical results have been achieved to verify the second-order convergence rate in both time and space.