An efficient solver for the numerical solution of EM scattering problems by many small dielectric circular obstacles

DOI10.1016/j.apnum.2019.08.010zbMath1429.35074OpenAlexW2969709691MaRDI QIDQ2010237

Saleh M. Alzahrani, Sayer Obaid Alharbi

Publication date: 27 November 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.010

zbMATH Keywords

computional methodtime-harmonic multiple scattering problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Packaged methods for numerical algorithms (65Y15) Second-order elliptic systems (35J47)

Uses Software

• mu-diff

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirichlet-to-Neumann boundary conditions for multiple scattering problems
• Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering
• A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations
• Inverse acoustic and electromagnetic scattering theory.
• On-surface radiation condition for multiple scattering of waves
• \(\mu\)-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks
• Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media
• Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media
• On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders
• Scattering of sound from point sources by multiple circular cylinders using addition theorem and superposition technique
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: An efficient solver for the numerical solution of EM scattering problems by many small dielectric circular obstacles