Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem

DOI10.2307/2007399zbMath0555.65083OpenAlexW4235601142MaRDI QIDQ3219070

Abderrahmane Bendali

Publication date: 1984

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007399

zbMATH Keywords

error estimatesMaxwell's equationstime-harmonic Maxwell equationsexterior problemboundary finite element methodscattering surface

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (23)

A new iteration method for a class of complex symmetric linear systems ⋮ Discrete boundary finite element schemes for an exterior problem for the time-harmonic Maxwell's equation ⋮ Time Domain Integral Equation Methods in Computational Electromagnetism ⋮ Fast parameterized inexact Uzawa method for complex symmetric linear systems ⋮ Proposition de préconditionneurs pseudo-différentiels pour l'équation CFIE de l'électromagnétisme ⋮ Modelling of single-phase flow for horizontal wells in a stratified medium ⋮ A systematic study on meta-heuristic approaches for solving the graph coloring problem ⋮ Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations ⋮ Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature ⋮ Coupling of a multilevel fast multipole method and a microlocal discretization for the 3-D integral equations of electromagnetism ⋮ A coercive bilinear form for Maxwell's equations ⋮ Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems ⋮ The time-harmonic Maxwell equations in a doubly periodic structure ⋮ A new implementation of the CMRH method for solving dense linear systems ⋮ Fast direct solvers for some complex symmetric block Toeplitz linear systems ⋮ Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces ⋮ A posteriori error estimates for FEM-BEM couplings of three-dimensional electromagnetic problems ⋮ Subdivision based isogeometric analysis technique for electric field integral equations for simply connected structures ⋮ Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems ⋮ Iterative solution of a hybrid method for Maxwell's equations in the frequency domain ⋮ A variational method for electromagnetic diffraction in biperiodic structures ⋮ Three-dimensional computation of a magnetic field by mixed finite elements and boundary elements ⋮ Mixed finite element and boundary element approximation in 3D magnetostatics for computation of the magnetic induction

This page was built for publication: Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem