摘要
针对二维Helmholtz方程外问题,基于有限差分法进行离散,提出一种有效的快速求解方法。通过傅里叶变换和LU分解方法,将离散方程简化为维数较小的界面方程,对界面方程给出了一种有效的预处理共轭梯度法。
A fast iterative algorithm is proposed for two-dimensional the exterior Helmholtz equation.Finite difference schemes are employed to discretize the exterior Helmholtz equation.A smaller interface discrete system is reduced by the discrete Fourier transformation and LU decomposition.An effective preconditioning conj ugate gradient method is developed to solve the interface equation.
出处
《桂林电子科技大学学报》
2014年第3期245-248,共4页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11161014
11161020)
