Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results

DOI10.1137/17M1132859zbMath1391.65060OpenAlexW2811025210MaRDI QIDQ3174761

Shari Moskow, Josef Sifuentes

Publication date: 18 July 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1132859

zbMATH Keywords

acoustic scatteringHelmholtz equationpreconditionerintegral methods

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Cites Work

• Unnamed Item
• A fast, higher-order solver for scattering by penetrable bodies in three dimensions
• A method for numerical integration on an automatic computer
• Rapid solution of integral equations of scattering theory in two dimensions
• A note on the convergence behavior of GMRES
• Inverse acoustic and electromagnetic scattering theory.
• An efficient, preconditioned, high-order solver for scattering by two-dimensional inhomogeneous media
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Some Superlinear Convergence Results for the Conjugate Gradient Method
• Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
• A Note on the Superlinear Convergence of GMRES
• On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
• A fast high-order solver for EM scattering from complex penetrable bodies: TE case
• An Approximate Method for Scattering by Thin Structures
• A fast algorithm for particle simulations
• A fast, direct algorithm for the Lippmann-Schwinger integral equation in two dimensions

This page was built for publication: Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results