On the Accurate Long-Time Solution of the Wave Equation in Exterior Domains: Asymptotic Expansions and Corrected Boundary Conditions

DOI10.2307/2153281zbMath0829.35068OpenAlexW2078909835MaRDI QIDQ4317659

Richard C. MacCamy, S. I. Hariharan, Thomas M. Hagstrom

Publication date: 20 December 1994

Full work available at URL: https://doi.org/10.2307/2153281

zbMATH Keywords

numerical exampleserror boundsartificial boundariescorrected boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

A simple impedance-infinite element for the finite element solution of the three-dimensional wave equation in unbounded domains ⋮ The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition ⋮ Local absorbing boundary conditions for elliptical shaped boundaries ⋮ Nonreflecting boundary conditions for the time-dependent wave equation ⋮ Low order approximation of the spherical nonreflecting boundary kernel for the wave equation ⋮ Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains ⋮ A formulation of asymptotic and exact boundary conditions using local operators

Cites Work

• Non-reflecting boundary conditions
• Low frequency acoustic and electromagnetic scattering
• Far field boundary conditions for computation over long time
• Inhomogeneous conditions at open boundaries for wave propagation problems
• Error analysis for absorbing boundary conditions
• On absorbing boundary conditions for wave propagation
• Exact non-reflecting boundary conditions
• Dissipative boundary conditions for one-dimensional wave propagation
• Long-time behaviour of absorbing boundary conditions
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Radiation boundary conditions for wave-like equations
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
• Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
• An inequality for the reduced wave operator and the justification of geometrical optics
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions
• On the radiation field of pulse solutions of the wave equation. II
• What is the Laplace Transform?
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• Unnamed Item

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