An efficient high-order compact finite difference method for the Helmholtz equation
From MaRDI portal
Publication:5859053
DOI10.22034/cmde.2020.27993.1382zbMath1474.65269OpenAlexW3007851552MaRDI QIDQ5859053
Publication date: 15 April 2021
Full work available at URL: https://cmde.tabrizu.ac.ir/article_9910_3b6fe6a49e477ad98e3912767be69d04.pdf
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items
Analytical and numerical calculation of heat transfer inside the hard nip calender ⋮ Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes ⋮ High-order compact finite difference methods for solving the high-dimensional Helmholtz equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(2N\) order compact finite difference scheme with collocation method for solving the generalized Burger's-Huxley and Burger's-Fisher equations
- A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation
- Compact finite difference schemes of sixth order for the Helmholtz equation
- Compact finite difference methods for high order integro-differential equations
- High-order compact ADI methods for parabolic equations
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- The operator compact implicit method for parabolic equations
- High order difference schemes for unsteady one-dimensional diffusion- convection problems
- Investigation of a two-dimensional spectral element method for Helmholtz's equation
- Efficient implementation of high-order methods for the advection-diffusion equation
- Compact modified implicit finite element schemes for wave propagation problems with superior dispersive properties
- An optimal compact sixth-order finite difference scheme for the Helmholtz equation
- An efficient time-splitting compact finite difference method for Gross-Pitaevskii equation
- A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation
- A fast solver of the shallow water equations on a sphere using a combined compact difference scheme.
- High order ADI method for solving unsteady convection-diffusion problems
- 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
- An efficient implementation of fourth-order compact finite difference scheme for Poisson equation with Dirichlet boundary conditions
- Unique continuation for the Helmholtz equation using stabilized finite element methods
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- High-order finite difference schemes for differential equations containing higher derivatives
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers
- Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes
- A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.
This page was built for publication: An efficient high-order compact finite difference method for the Helmholtz equation
