Equation-based interpolation and incremental unknowns for solving the Helmholtz equation

DOI10.1016/j.apnum.2009.12.006zbMath1201.65192OpenAlexW2045802667MaRDI QIDQ607128

Pascal Poullet, Amir Boag

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.12.006

zbMATH Keywords

preconditioningiterative methodsHelmholtz equationmultilevel methodsincremental unknowns

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation ⋮ Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems ⋮ Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes

Cites Work

• An iterative method for the Helmholtz equation
• Incremental unknowns for solving partial differential equations
• Advances in iterative methods and preconditioners for the Helmholtz equation
• Staggered incremental unknowns for solving Stokes and generalized Stokes problems
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• Numerical methods and nature
• Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
• Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian
• Incremental unknowns method and compact schemes
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Incremental unknowns on nonuniform meshes
• Incremental unknowns preconditioning for solving the Helmholtz equation
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
• Unnamed Item

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