Inhomogeneous conditions at open boundaries for wave propagation problems

DOI10.1016/S0168-9274(88)80003-5zbMath0642.65065OpenAlexW2094143220MaRDI QIDQ1101189

Bertil Gustafsson

Publication date: 1988

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(88)80003-5

zbMATH Keywords

Wave propagationabsorbing boundary conditionsfirst- order systemsweakly unstable

Mathematics Subject Classification ID

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) Initial value problems for first-order hyperbolic systems (35L45)

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Nonreflecting boundary conditions for discrete waves ⋮ A sequence of absorbing boundary conditions for Maxwell's equations. ⋮ On the Accurate Long-Time Solution of the Wave Equation in Exterior Domains: Asymptotic Expansions and Corrected Boundary Conditions ⋮ Accurate Boundary Conditions for Exterior Problems in Gas Dynamics ⋮ Numerical solution of problems on unbounded domains. A review

Cites Work

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• Boundary conditions for time dependent problems with an artificial boundary
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
• Initial boundary value problems for hyperbolic systems

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