Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case
DOI10.1007/s00211-009-0263-1zbMath1196.65180OpenAlexW1972802977MaRDI QIDQ849063
Yassine Boubendir, Akash Anand, Fernando Reitich, Fatih Ecevit
Publication date: 24 February 2010
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-009-0263-1
convergencenumerical examplesacoustic scatteringHelmholtz equationintegral equation methoddimension threehigh-frequenciesmultiple-scattering iterations
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case
- Efficient evaluation of highly oscillatory acoustic scattering surface integrals
- An \(\mathcal O(1)\) integration scheme for three-dimensional surface scattering problems
- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Fourier integral operators. I
- A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
- Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
- A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons
- Inverse acoustic and electromagnetic scattering theory
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications