Iterative Solution of the Helmholtz Equation by a Second-Order Method

DOI10.1137/S0895479897316588zbMath0942.65119OpenAlexW2026736496WikidataQ60511960 ScholiaQ60511960MaRDI QIDQ4702261

Kurt Otto, Elisabeth Larsson

Publication date: 24 November 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479897316588

zbMATH Keywords

numerical experimentsHelmholtz equationpreconditionersfinite difference discretizationsecond-order methoditerative solutionfast trigonometric transformswaveguide problems

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Antennas, waveguides in optics and electromagnetic theory (78A50) Finite difference methods for boundary value problems involving PDEs (65N06)

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