An \(\mathcal O(1)\) integration scheme for three-dimensional surface scattering problems

DOI10.1016/j.cam.2006.02.050zbMath1136.78309OpenAlexW1967472447MaRDI QIDQ883484

Christophe A. Geuzaine, Oscar P. Bruno

Publication date: 4 June 2007

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.2006.02.050

zbMATH Keywords

boundary integral equationswave scatteringhigh frequency methods

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items

Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems, DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: formal derivation and numerical validation, Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements, Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case, Fast non-polynomial interpolation and integration for functions with logarithmic singularities, Numerical analysis of the spectrum for the highly oscillatory integral equation with weak singularity, A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions, Acceleration of an Iterative Method for the Evaluation of High-Frequency Multiple Scattering Effects, Using B-spline frames to represent solutions of acoustics scattering problems, A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces, A remedy for the failure of the numerical steepest descent method on a class of oscillatory integrals, Frequency-adapted Galerkin boundary element methods for convex scattering problems, Galerkin boundary element methods for high-frequency multiple-scattering problems, The wave-matching boundary integral equation -- an energy approach to Galerkin BEM for acoustic wave propagation problems, Adaptive multi-resolution central-upwind schemes for systems of conservation laws

Cites Work

• Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
• A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid
• Inverse acoustic and electromagnetic scattering theory.
• A comparison of some methods for the evaluation of highly oscillatory integrals
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The radiation pattern of a diffracted wavenear the shadow boundary
• Fast Fourier Transforms for Nonequispaced Data
• Surface scattering in three dimensions: an accelerated high–order solver
• Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item