WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
Numerical Analysis
2021-03-03 v2 Numerical Analysis
Abstract
A new idea for iterative solution of the Helmholtz equation is presented. We show that the iteration which we denote WaveHoltz and which filters the solution to the wave equation with harmonic data evolved over one period, corresponds to a coercive operator or a positive definite matrix in the discretized case.
Cite
@article{arxiv.1910.10148,
title = {WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation},
author = {Daniel Appelo and Fortino Garcia and Olof Runborg},
journal= {arXiv preprint arXiv:1910.10148},
year = {2021}
}