A fast Fourier transform based direct solver for the Helmholtz problem

DOI10.1002/NLA.2283OpenAlexW3003285726WikidataQ109284857 ScholiaQ109284857MaRDI QIDQ3297076

Jari Toivanen, Monika Wolfmayr

Publication date: 2 July 2020

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03808

zbMATH Keywords

Fourier transformHelmholtz equationabsorbing boundary conditionsfast direct solverfinite-element discretization

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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