Solving the volume integral equations of electromagnetic scattering

DOI10.1016/j.jcp.2006.02.004zbMath1111.78012OpenAlexW1983500505WikidataQ57547994 ScholiaQ57547994MaRDI QIDQ853178

Matthys M. Botha

Publication date: 15 November 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.02.004

zbMATH Keywords

Maxwell's equationsvolume integral equationsmethod of momentscomputational electromagneticsGalerkin projectionhigher-order modelingtetrahedral basis functions

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Method of moments applied to problems in optics and electromagnetic theory (78M05)

Related Items

Treecode-accelerated Green iteration for Kohn-Sham density functional theory, On the complexity of aperiodic Fourier modal methods for finite periodic structures, Volume integral equations for electromagnetic scattering by an orthotropic infinite cylinder, A volume integral equation method for periodic scattering problems for anisotropic Maxwell's equations, The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization, Volume integral operators in electromagnetic scattering by homogeneous anisotropic dielectric bodies, Efficient solution of Maxwell's equations for geometries with repeating patterns by an exchange of discretization directions in the aperiodic Fourier modal method, The use of the edge basis function for non-conformal solution of electric current volume integral equation, Volume integral equations for electromagnetic scattering in two dimensions, Volume and surface integral equations for electromagnetic scattering by a dielectric body, The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body

Cites Work

• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization
• Linear integral equations.
• Mimetic discretizations for Maxwell's equations
• Decoupling Three-Dimensional Mixed Problems Using Divergence-Free Finite Elements
• Fully hierarchical divergence-conforming basis functions on tetrahedral cells, with applications
• Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
• Canonical construction of finite elements
• Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
• On the Eigenvalues of the Volume Integral Operator of Electromagnetic Scattering
• An evaluation of mixed-order versus full-order vector finite elements
• On the Variational Formulation of Hybrid Finite Element-Boundary Integral Techniques for Electromagnetic Analysis
• The Numerical Solution of Fredholm integral Equations of the Second Kind