High order finite difference methods for the wave equation with non-conforming grid interfaces
DOI10.1007/S10915-016-0165-1zbMath1352.65274arXiv1509.07593OpenAlexW2212587874MaRDI QIDQ333203
Kristoffer Virta, Gunilla Kreiss, Si Yang Wang
Publication date: 28 October 2016
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07593
interpolationstabilityconvergencefinite difference methodnumerical experimentssecond-order wave equationcouplingnon-conforming grid interfacetruncation error analysis
Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (22)
Cites Work
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- A solution to the stability issues with block norm summation by parts operators
- Review of summation-by-parts schemes for initial-boundary-value problems
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Acoustic wave propagation in complicated geometries and heterogeneous media
- Stable boundary treatment for the wave equation on second-order form
- Application of a perfectly matched layer to the nonlinear wave equation
- Grid stabilization of high-order one-sided differencing. II: Second-order wave equations
- Stable difference methods for block-oriented adaptive grids
- Stable and accurate wave-propagation in discontinuous media
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- On coordinate transformations for summation-by-parts operators
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Convergence of summation-by-parts finite difference methods for the wave equation
- Summation by parts operators for finite difference approximations of second derivatives
- Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation
- Stable and accurate schemes for the compressible Navier-Stokes equations
- Stable Coupling of Nonconforming, High-Order Finite Difference Methods
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Time-Dependent Problems and Difference Methods
- Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
- Difference Approximations for the Second Order Wave Equation
- Stable and High-Order Accurate Boundary Treatments for the Elastic Wave Equation on Second-Order Form
- Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations
- High Order Difference Methods for Time Dependent PDE
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