High order surface radiation conditions for time-harmonic waves in exterior domains

DOI10.1016/j.cma.2017.04.032zbMath1439.35140arXiv1702.07373OpenAlexW2603282385MaRDI QIDQ2309918

Sebastian Acosta

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07373

zbMATH Keywords

Helmholtz equationabsorbing boundary conditionswave scatteringon-surface radiation conditionssemi-analytical approximations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

Nonlinear Ultrasound Imaging Modeled by a Westervelt Equation ⋮ Well-Posedness for Photoacoustic Tomography with Fabry--Perot Sensors ⋮ 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 ⋮ Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering ⋮ Local on-surface radiation condition for multiple scattering of waves from convex obstacles ⋮ Asymptotic behavior of acoustic waves scattered by very small obstacles

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