A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver
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Publication:2227749
DOI10.1016/j.apnum.2020.11.023zbMath1457.76112OpenAlexW3106831245MaRDI QIDQ2227749
Tingting Wu, Yuran Sun, Dongsheng Cheng
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.11.023
Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hydro- and aero-acoustics (76Q05)
Cites Work
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- Compact finite difference schemes of sixth order for the Helmholtz equation
- Solving Helmholtz equation at high wave numbers in exterior domains
- A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation
- On a class of preconditioners for solving the Helmholtz equation
- Accurate finite difference methods for time-harmonic wave propagation
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- High-order finite difference methods for the Helmholtz equation
- A new development of sixth order accurate compact scheme for the Helmholtz equation
- A multigrid-based preconditioned solver for the Helmholtz equation with a discretization by 25-point difference scheme
- Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
- A robust optimal finite difference scheme for the three-dimensional Helmholtz equation
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation
- An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Multigrid Tutorial, Second Edition
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers?
- A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections
- Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
- Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes
- A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
- Spectral Approximation of the Helmholtz Equation with High Wave Numbers
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