Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems

DOI10.1016/j.camwa.2014.04.003zbMath1366.78023OpenAlexW2076588599MaRDI QIDQ2364216

Catalin Turc, Yassine Boubendir

Publication date: 18 July 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.04.003

zbMATH Keywords

electromagnetic scatteringpseudodifferential operatorscombined field integral equationshigh-frequency

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Boundary element methods applied to problems in optics and electromagnetic theory (78M15)

Related Items (10)

Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions ⋮ A Calderón multiplicative preconditioner for the electromagnetic Poincaré-Steklov operator of a heterogeneous domain with scattering applications ⋮ Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves ⋮ Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics ⋮ Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers ⋮ Combined Field-Only Boundary Integral Equations for PEC Electromagnetic Scattering Problem in Spherical Geometries ⋮ Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator ⋮ Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies ⋮ Analytical preconditioners for Neumann elastodynamic boundary element methods ⋮ Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations
• Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations
• A stable well-conditioned integral equation for electromagnetism scattering
• Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf
• Diagonal forms of translation operators for the Helmholtz equation in three dimensions
• The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape
• Generalized combined field integral equations for the iterative solution of the three-dimensional Maxwell equations
• A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
• A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
• Modified Combined Field Integral Equations for Electromagnetic Scattering
• Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
• The k-space formulation of the scattering problem in the time domain
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Des préconditionneurs pour la résolution numérique des équations intégrales de frontière de l'acoustique
• Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics
• A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Surface scattering in three dimensions: an accelerated high–order solver
• A Coercive Combined Field Integral Equation for Electromagnetic Scattering
• Alternative integral equations for the iterative solution of acoustic scattering problems
• MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
• Debye sources and the numerical solution of the time harmonic Maxwell equations
• Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
• Combined Field Integral Equation Formulations for Electromagnetic Scattering From Convex Geometries
• Sparse Inverse Preconditioning of Multilevel Fast Multipole Algorithm for Hybrid Integral Equations in Electromagnetics
• A new well-conditioned Integral formulation for Maxwell equations in three dimensions
• Current and Charge Integral Equation Formulation
• Extension to Nonconforming Meshes of the Combined Current and Charge Integral Equation
• A Multiplicative Calderon Preconditioner for the Electric Field Integral Equation
• A CalderÓn Multiplicative Preconditioner for the Combined Field Integral Equation
• An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions
• A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems
• Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations
• Inverse acoustic and electromagnetic scattering theory
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems