Three-dimensional acoustic scattering by layered media: a novel surface formulation with operator expansions implementation

DOI10.1098/rspa.2011.0555zbMath1364.74048OpenAlexW2106520203MaRDI QIDQ5345926

David P. Nicholls

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0555

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Spectral and related methods applied to problems in solid mechanics (74S25) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Numerical simulation of gravity waves
• Analytic continuation of Dirichlet-Neumann operators
• A new approach to analyticity of Dirichlet-Neumann operators
• A boundary perturbation method for recovering interface shapes in layered media
• An improved operator expansion algorithm for direct and inverse scattering computations
• A fast algorithm for particle simulations
• Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators