A parallelizable iterative procedure for the Helmholtz problem

DOI10.1016/0168-9274(94)00006-9zbMath0805.65100OpenAlexW2045258444MaRDI QIDQ1330478

Seongjai Kim

Publication date: 21 July 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00006-9

zbMATH Keywords

iterative procedurefinite difference methodparallel computationHelmholtz equationhigh frequency electromagnetic problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

Parallel multidomain iterative algorithms for the Helmholtz wave equation ⋮ Multifrequency simulation for acoustics ⋮ Artificial damping techniques for scalar waves in the frequency domain ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ GMRES computation of high frequency electrical field propagation in land mine detection ⋮ Efficient iterative solution of the three-dimensional Helmholtz equation ⋮ A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element

Cites Work

• An iterative method for the Helmholtz equation
• On accuracy conditions for the numerical computation of waves
• An alternating-direction iteration method for Helmholtz problems
• FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES
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