SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1950-A1983, January 2020.
A new iterative method, the WaveHoltz iteration, for solution of the Helmholtz equation is presented. WaveHoltz is a fixed point iteration that filters the solution to the solution of a wave equation with time periodic forcing and boundary data. The WaveHoltz iteration corresponds to a linear and coercive operator which, after discretization, can be recast as a positive definite linear system of equations. The solution to this system of equations approximates the Helmholtz solution and can be accelerated by Krylov subspace techniques. Analysis of the continuous and discrete cases is presented, as are numerical experiments.

中文翻译：

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WaveHoltz：通过波动方程迭代求解亥姆霍兹方程

SIAM科学计算杂志，第42卷，第4期，第A1950-A1983页，2020年1月。提出了
一种新的迭代方法，即WaveHoltz迭代，用于求解Helmholtz方程。WaveHoltz是一个定点迭代，使用时间周期强制和边界数据对波动方程的解进行滤波。WaveHoltz迭代对应于线性和矫顽算子，在离散化之后，可以将其重铸为正定线性方程组。该方程组的解近似于亥姆霍兹解，可以通过Krylov子空间技术来加速。提出了连续和离散情况的分析，以及数值实验。