A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
From MaRDI portal
Publication:1669974
DOI10.1007/s10915-017-0639-9zbMath1397.65131OpenAlexW2788618703MaRDI QIDQ1669974
Eli Turkel, Steven Britt, Semyon V. Tsynkov
Publication date: 4 September 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0639-9
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Eigenvalues, singular values, and eigenvectors (15A18) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (22)
An explicit fourth-order compact difference scheme for solving the 2D wave equation ⋮ The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions ⋮ Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients ⋮ Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise ⋮ A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer ⋮ Energy conserving successive multi-stage method for the linear wave equation ⋮ A high accuracy local one-dimensional explicit compact scheme for the 2D acoustic wave equation ⋮ An accurate and efficient local one-dimensional method for the 3D acoustic wave equation ⋮ Universal AMG accelerated embedded boundary method without small cell stiffness ⋮ A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media ⋮ A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients ⋮ On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations ⋮ Efficient energy structure-preserving schemes for three-dimensional Maxwell's equations ⋮ Energy-conserving successive multi-stage method for the linear wave equation with forcing terms ⋮ On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation ⋮ A highly efficient time-space-domain optimized method with Lax-Wendroff type time discretization for the scalar wave equation ⋮ On higher-order compact ADI schemes for the variable coefficient wave equation ⋮ Compact high order accurate schemes for the three dimensional wave equation ⋮ ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION ⋮ The conservative time high-order AVF compact finite difference schemes for two-dimensional variable coefficient acoustic wave equations ⋮ 3D time-dependent scattering about complex shapes using high order difference potentials ⋮ Compact difference schemes for the multidimensional Klein-Gordon equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Summation-by-parts in time
- Review of summation-by-parts schemes for initial-boundary-value problems
- Acoustic wave propagation in complicated geometries and heterogeneous media
- Stable boundary treatment for the wave equation on second-order form
- A compact fourth order scheme for the Helmholtz equation in polar coordinates
- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study
- On accuracy conditions for the numerical computation of waves
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
- Convergence of summation-by-parts finite difference methods for the wave equation
- The method of difference potentials for the Helmholtz equation using compact high order schemes
- Introduction and study of fourth order theta schemes for linear wave equations
- High-order finite difference methods for the Helmholtz equation
- Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
- An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation
- Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
- On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
- Fourth order symmetric finite difference schemes for the acoustic wave equation
- Stable Coupling of Nonconforming, High-Order Finite Difference Methods
- A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions
- Fourth-order energy-preserving locally implicit time discretization for linear wave equations
- High-Order Time Discretization of The Wave Equation by Nabla-P Scheme.
- A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
- Higher Order Compact Implicit Schemes for the Wave Equation
- Dissipative Two-Four Methods for Time-Dependent Problems
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Time Compact High Order Difference Methods for Wave Propagation
- Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
- Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes
This page was built for publication: A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
