A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
From MaRDI portal
Publication:4258493
DOI10.1137/S0036139997323383zbMath0933.78007OpenAlexW1998829387MaRDI QIDQ4258493
Stéphanie Lohrengel, Christophe Hazard, Anne-Sophie Bonnet-Ben Dhia
Publication date: 13 September 1999
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139997323383
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items
Improving accuracy of the numerical solution of Maxwell's equations by processing edge singularities of the electromagnetic field, An adaptive FEM for a Maxwell interface problem, A discontinuous Galerkin method on refined meshes for the two-dimensional time-harmonic Maxwell equations in composite materials, A least-squares approximation method for the time-harmonic Maxwell equations, WELL-POSEDNESS OF THE DRUDE–BORN–FEDOROV MODEL FOR CHIRAL MEDIA, The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations, Analysis of multilevel methods for eddy current problems, Computation of Maxwell singular solution by nodal-continuous elements, A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners, A priori and a posteriori error estimates for the quad-curl eigenvalue problem, On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra, Weak Galerkin finite element methods for \(\mathbf{H}(\mathrm{curl};\Omega)\) and \(\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)\)-elliptic problems, Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results, Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media, Regular decomposition and a framework of order reduced methods for fourth order problems, Wellposedness and regularity for linear Maxwell equations with surface current, Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem, Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron., An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems, \(C ^{0}\) elements for generalized indefinite Maxwell equations, Exact boundary controllability of the second-order Maxwell system: theory and numerical simulation, Unnamed Item, Robust Preconditioner for H(curl) Interface Problems, A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem, Time-dependent Maxwell's equations with charges in singular geometries, ``Hybrid electric-magnetic methods in eddy-current problems, Weighted regularization for composite materials in electromagnetism, Convergence of the Hiptmair--Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition, Partial expansion of a Lipschitz domain and some applications, Augmented formulations for solving Maxwell equations, An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems, An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems, Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell's equations in nonsmooth axisymmetric domains, On the coefficients of the singularities of the solution of Maxwell's equations near polyhedral edges, A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem, Singularities of eddy current problems, A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving, A NONCONFORMING PENALTY METHOD FOR A TWO-DIMENSIONAL CURL–CURL PROBLEM, Analysis of eddy current formulations in two-dimensional domains with cracks, Interface solutions of partial differential equations with point singularity, Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method, Discontinuous least-squares finite element method for the div-curl problem, Singular electromagnetic fields: inductive approach, Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media, A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell's equations, SOLVING NUMERICALLY THE STATIC MAXWELL EQUATIONS IN AN AXISYMMETRIC SINGULAR GEOMETRY, SINGULARITIES AND DENSITY PROBLEMS FOR COMPOSITE MATERIALS IN ELECTROMAGNETISM
