On surface radiation conditions for an ellipse
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Publication:975620
DOI10.1016/j.cam.2009.08.011zbMath1192.78023OpenAlexW2004210791MaRDI QIDQ975620
Publication date: 10 June 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.011
Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lamé, Mathieu, and spheroidal wave functions (33E10)
Related Items (16)
Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses ⋮ Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves ⋮ Hybrid spectral difference methods for elliptic equations on exterior domains with the discrete radial absorbing boundary condition ⋮ DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: formal derivation and numerical validation ⋮ Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions ⋮ The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition ⋮ TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media ⋮ Iterative on surface radiation conditions for fast and reliable single and multiple scattering analyses of arbitrarily shaped obstacles ⋮ \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics ⋮ An exact non reflecting boundary condition for 2D time-dependent wave equation problems ⋮ Local absorbing boundary conditions for elliptical shaped boundaries ⋮ Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems ⋮ Time-reversed absorbing conditions in the partial aperture case ⋮ Local on-surface radiation condition for multiple scattering of waves from convex obstacles ⋮ Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations ⋮ High order surface radiation conditions for time-harmonic waves in exterior domains
Cites Work
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- Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
- Nonreflecting boundary conditions for Maxwell's equations
- On nonreflecting boundary conditions
- The performance of local absorbing boundary conditions for acoustic scattering from elliptical shapes
- Local absorbing boundaries of elliptical shape for scalar waves
- Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method
- Surface Radiation Conditions
- Improved accuracy for the Helmholtz equation in unbounded domains
- Note on Surface Radiation Conditions
- Radiation boundary conditions for wave-like equations
- Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
- A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach
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