Stable and accurate wave-propagation in discontinuous media
DOI10.1016/j.jcp.2008.06.023zbMath1151.65070OpenAlexW2113972433MaRDI QIDQ947914
Gianluca Iaccarino, Ken Mattsson, Frank E. Ham
Publication date: 8 October 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.06.023
stabilitywave equationnumerical examplescomplex geometriesdiscontinuous mediahigh-order finite difference methodsunstructured finite volume method
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) PDEs with low regular coefficients and/or low regular data (35R05)
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Cites Work
- Unnamed Item
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- On the order of accuracy for difference approximations of initial-boundary value problems
- High order finite difference methods for wave propagation in discontinuous media
- Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates
- Compact finite difference schemes with spectral-like resolution
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Numerical solution of problems on unbounded domains. A review
- 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
- Summation by parts operators for finite difference approximations of second derivatives
- Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations
- Stable and accurate schemes for the compressible Navier-Stokes equations
- Towards Time-Stable and Accurate LES on Unstructured Grids
- Tidal generation of internal waves from a periodic array of steep ridges
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
- Time Compact High Order Difference Methods for Wave Propagation
- Time Compact Difference Methods for Wave Propagation in Discontinuous Media
- Difference Approximations of the Neumann Problem for the Second Order Wave Equation
- Difference Approximations for the Second Order Wave Equation
- Summation by Parts, Projections, and Stability. I
- Summation by Parts, Projections, and Stability. II
- Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
- An Embedded Boundary Method for the Wave Equation with Discontinuous Coefficients
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data