An alternating-direction iteration method for Helmholtz problems

DOI10.21136/am.1993.104557zbMath0807.65106OpenAlexW2600389761MaRDI QIDQ1316218

Jim jun. Douglas, Jeffrey L. jun. Hensley, Jean Elizabeth Roberts

Publication date: 10 April 1994

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15756

zbMATH Keywords

convergencenumerical examplesHelmholtz equationfinite differencetime-stepping methodalternating-direction iteration methodnoncoercive nonsymmetric problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

A parallelizable iterative procedure for the Helmholtz problem ⋮ Parallel multidomain iterative algorithms for the Helmholtz wave equation ⋮ Multifrequency simulation for acoustics ⋮ GMRES computation of high frequency electrical field propagation in land mine detection ⋮ Preconditioned Krylov subspace methods for sixth order compact approximations of the Helmholtz equation

Cites Work

• Unnamed Item
• Alternating direction methods for three space variables
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• On convergence of alternating direction procedures
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES

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