Absorbing Boundary Conditions for the Discretization Schemes of the One-Dimensional Wave Equation
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Publication:3940768
DOI10.2307/2007278zbMath0482.65053OpenAlexW4233715452MaRDI QIDQ3940768
Publication date: 1982
Full work available at URL: https://doi.org/10.2307/2007278
ill-posed problemabsorbing boundary conditionsartificial boundariesstable boundary conditions fitting to the discretization scheme
Error bounds for boundary value problems involving PDEs (65N15) Wave equation (35L05) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
- Unnamed Item
- Unnamed Item
- A nonreflecting plane boundary for wave propagation problems
- Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
- Reflection of singularities of solutions to systems of differential equations
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Diffraction and refraction of surface waves using finite and infinite elements
- Radiation boundary conditions for acoustic and elastic wave calculations
- Initial boundary value problems for hyperbolic systems
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