arXiv Analytics

Sign in

arXiv:1910.10148 [math.NA]AbstractReferencesReviewsResources

WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation

Daniel Appelo, Fortino Garcia, Olof Runborg

Published 2019-10-22Version 1

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.

Categories: math.NA, cs.NA
Subjects: 65M22, 65M12
Related articles: Most relevant | Search more
arXiv:2205.12349 [math.NA] (Published 2022-05-24)
Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation
arXiv:2001.07795 [math.NA] (Published 2020-01-21)
Isogeometric solution of Helmholtz equation with Dirichlet boundary condition: numerical experiences
arXiv:2011.11021 [math.NA] (Published 2020-11-22)
Application of the residual-free bubbles to the Helmholtz equation with large wave numbers

Links

Toolbox