Parallel multidomain iterative algorithms for the Helmholtz wave equation

DOI10.1016/0168-9274(95)00039-WzbMath0838.65119OpenAlexW2004668340MaRDI QIDQ1901536

Seongjai Kim

Publication date: 30 May 1996

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00039-w

zbMATH Keywords

domain decompositionfinite elementerror analysisHelmholtz wave equationfinite differencecondition numbersRobin interface conditionparallel, iterative algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Multifrequency simulation for acoustics ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ GMRES computation of high frequency electrical field propagation in land mine detection ⋮ NONCONFORMING FINITE ELEMENT METHODS FOR THE THREE-DIMENSIONAL HELMHOLTZ EQUATION: ITERATIVE DOMAIN DECOMPOSITION OR GLOBAL SOLUTION? ⋮ Preconditioned Krylov subspace methods for sixth order compact approximations of the Helmholtz equation ⋮ A parallel Poisson solver using the fast multipole method on networks of workstations ⋮ Efficient iterative solution of the three-dimensional Helmholtz equation

Cites Work

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