A Galerkin approximation for integro-differential equations in electromagnetic scattering from a chiral medium

DOI10.1080/00036811.2016.1212335zbMath1360.78030OpenAlexW2493178514WikidataQ58279517 ScholiaQ58279517MaRDI QIDQ2965792

Minh-Phuong Tran, Thanh-Nhan Nguyen, Dinh-Liem Nguyen

Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1212335

zbMATH Keywords

integral equationselectromagnetic scatteringGalerkin approximationschiral medianumerical analysisDrude-Born-Fedorov model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for discrete and fast Fourier transforms (65T50) Integro-partial differential equations (35R09)

Related Items (4)

Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations ⋮ A fuzzy transform method for numerical solution of fractional Volterra integral equations ⋮ Numerical treatment of fractional-order nonlinear system of delay integro-differential equations arising in biology ⋮ Direct and inverse electromagnetic scattering problems for bi-anisotropic media

Cites Work

• Numerical analysis for the scattering by obstacles in a homogeneous chiral environment
• A trigonometric Galerkin method for volume integral equations arising in TM grating scattering
• On well-posedness of some homogenized Drude-Born-Fedorov systems on a bounded domain and applications to metamaterials
• An integral equation approach and the interior transmission problem for Maxwell's equations
• Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem
• Time-dependent electromagnetic fields in chiral media
• Chirality in the Maxwell Equations by the Dipole Approximation
• Boundary integral equations for the scattering of electromagnetic waves by a homogeneous chiral obstacle
• Maxwell's equations in periodic chiral structures
• On the domain derivative for scattering by impenetrable obstacles in chiral media
• Time domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials
• WELL-POSEDNESS OF THE DRUDE–BORN–FEDOROV MODEL FOR CHIRAL MEDIA

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