High-order absorbing boundary conditions for anisotropic and convective wave equations
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Publication:846540
DOI10.1016/j.jcp.2009.10.012zbMath1181.65123OpenAlexW2037645809MaRDI QIDQ846540
Eliane Bécache, Dan Givoli, Thomas M. Hagstrom
Publication date: 9 February 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.012
wavesfinite elementsabsorbing boundary conditionwell-posednessartificial boundaryKreissauxiliary variablesanisotropichigh-orderconvectivegroup speed
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-reflecting boundary conditions
- Time-harmonic acoustic propagation in the presence of a shear flow
- Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
- A nonreflecting outflow boundary condition for subsonic Navier-Stokes calculations
- Far field boundary conditions for compressible flows
- Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
- A formulation of asymptotic and exact boundary conditions using local operators
- A perfectly matched layer for the absorption of electromagnetic waves
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- High-order non-reflecting boundary scheme for time-dependent waves
- Nonreflecting boundary conditions for time-dependent scattering
- Finite element formulation with high-order absorbing boundary conditions for time-dependent waves
- High-order local non-reflecting boundary conditions: a review
- A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
- High-order local absorbing conditions for the wave equation: Extensions and improvements
- CONTINUED-FRACTION ABSORBING BOUNDARY CONDITIONS FOR THE WAVE EQUATION
- Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
- High-order absorbing boundary conditions incorporated in a spectral element formulation
- Stability and accuracy of finite element methods for flow acoustics. II: Two-dimensional effects
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES
- Initial-Boundary Value Problems for Linear Hyperbolic System
- Numerical Absorbing Boundary Conditions for the Wave Equation
- Radiation boundary conditions for wave-like equations
- Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
- Radiation boundary conditions for acoustic and elastic wave calculations
- Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
- On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
- Radiation Boundary Conditions for Dispersive Waves
- High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains
- On Optimal Finite-Difference Approximation of PML
- Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment
- Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
- Outflow Boundary Conditions for Fluid Dynamics
- An Analysis of Higher Order Boundary Conditions for the Wave Equation
- Initial boundary value problems for hyperbolic systems
- Radiation Boundary Conditions for Elastic Wave Propagation
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