Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations

DOI10.1007/BF01400917zbMath0536.35047MaRDI QIDQ791764

Ludwig Wagatha

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132860

zbMATH Keywords

absorptionnumerical approximationauxiliary boundary

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Initial-boundary value problems for first-order hyperbolic systems (35L50) Applications to the sciences (65Z05)

Related Items (9)

On boundary conditions for the numerical simulation of wave propagation ⋮ Control of singular problem via differentiation of a min-max ⋮ Open boundary conditions for obliquely propagating nonlinear shallow-water waves in a wave channel ⋮ Absorbing boundary conditions for second-order hyperbolic equations ⋮ ABSORBING BOUNDARY CONDITIONS FOR A WAVE EQUATION WITH A TEMPERATURE-DEPENDENT SPEED OF SOUND ⋮ Absorbing boundary conditions for free surface waves ⋮ Well-posed transparent boundary conditions for the shallow water equations ⋮ Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations ⋮ Non-reflecting boundary conditions

Cites Work

• ``Free-space boundary conditions for the time dependent wave equation
• Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations
• Boundary conditions for time dependent problems with an artificial boundary
• Approximation of radiation boundary conditions
• Nonreflecting boundary conditions for nonlinear hyperbolic systems
• Numerical solution of problems in unbounded regions: coordinate transforms
• Derivation of boundary conditions for the artificial boundaries associated with the solution of certain time dependent problems by Lax–Wendroff type difference schemes
• Reflection of singularities of solutions to systems of differential equations
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Initial boundary value problems for hyperbolic systems
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