Preconditioned Krylov subspace methods for sixth order compact approximations of the Helmholtz equation
DOI10.1155/2014/745849zbMath1306.65181arXiv1212.1397OpenAlexW2057202905WikidataQ59048435 ScholiaQ59048435MaRDI QIDQ2256906
Publication date: 23 February 2015
Published in: ISRN Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1397
Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)
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Cites Work
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- An iterative method for the Helmholtz equation
- Compact finite difference schemes of sixth order for the Helmholtz equation
- On accuracy conditions for the numerical computation of waves
- Spectral methods for problems in complex geometries
- Efficient iterative solution of the three-dimensional Helmholtz equation
- An alternating-direction iteration method for Helmholtz problems
- Algebraic multigrid for higher-order finite elements
- Eigenanalysis of some preconditioned Helmholtz problems
- Parallel multidomain iterative algorithms for the Helmholtz wave equation
- GMRES computation of high frequency electrical field propagation in land mine detection
- A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization
- SIXTH-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION
- The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems
- Fast direct solution of the Helmholtz equation with a perfectly matched layer or an absorbing boundary condition
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes
- Numerical Analysis of Partial Differential Equations
- A high-order fast direct solver for singular Poisson equations
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