A rapid boundary perturbation algorithm for scattering by families of rough surfaces
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Publication:1017602
DOI10.1016/j.jcp.2009.01.018zbMath1319.76034OpenAlexW2014146604MaRDI QIDQ1017602
Publication date: 12 May 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.018
acoustic scatteringtraveling waveswater wavesboundary perturbation methodshigh-order spectral methods
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05)
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Cites Work
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- Parametric analyticity of functional variations of Dirichlet-Neumann operators.
- Joint analyticity and analytic continuation of Dirichlet-Neumann operators on doubly perturbed domains
- Inverse acoustic and electromagnetic scattering theory.
- Analytic continuation of Dirichlet-Neumann operators
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Stable, high-order computation of traveling water waves in three dimensions
- Linear and quasilinear elliptic equations
- A new approach to analyticity of Dirichlet-Neumann operators
- The domain of analyticity of Dirichlet–Neumann operators
- Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- Spectral Calculations of One-Dimensional Inviscid Compressible Flows
- On analyticity of travelling water waves
- Three‐dimensional travelling gravity‐capillary water waves
- Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
- Equivalent Norms for Sobolev Spaces
- Reflection of electromagnetic waves from slightly rough surfaces
- A fast algorithm for particle simulations
- Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators