On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter

DOI10.1515/RNAM-2002-0603zbMath1025.65054OpenAlexW2329328580MaRDI QIDQ4796486

I. I. Chechel', V. O. Belash, B. V. Pal'tsev

Publication date: 17 November 2003

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2002-0603

zbMATH Keywords

convergencecomparison of methodssingular perturbationboundary value problemsiterative methodHelmholtz equationmultigridoverrelaxationalternating direction

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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