Field of Values Analysis of a Two-Level Preconditioner for the Helmholtz Equation

DOI10.1137/120887667zbMath1278.65177OpenAlexW1979817432MaRDI QIDQ2845603

Antti Hannukainen

Publication date: 2 September 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120887667

zbMATH Keywords

convergencefinite element methodnumerical examplespreconditioningfield of valuesHelmholtz equationgeneralized minimal residual (GMRES) methodtwo-level multi-grid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (4)

A Sign-Definite Preconditioned High-Order FEM, Part I: Formulation and Simulation for Bounded Homogeneous Media Wave Propagation ⋮ Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? ⋮ How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid? ⋮ Some uses of the field of values in numerical analysis

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