DOI10.1137/S0036142998349977zbMath0964.78017OpenAlexW2047861338MaRDI QIDQ4509645
Qiang Du, Jun Zou, Zhiming Chen
Publication date: 19 October 2000
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142998349977
Solving Maxwell eigenvalue problems for three dimensional isotropic photonic crystals with fourteen Bravais lattices,
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations,
Variable parameter Uzawa method for solving a class of block three-by-three saddle point problems,
Structured backward error analysis for a class of block three-by-three saddle point problems,
\(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor,
An adaptive edge element method and its convergence for a Saddle-Point problem from magnetostatics,
Superconvergence analysis for time-dependent Maxwell's equations in metamaterials,
The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure,
Finite volume algorithm for nonstationary Maxwell equations on an unstructured grid,
A parameterized splitting preconditioner for generalized saddle point problems,
The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations,
Finite element analysis of an \(A-\phi\) method for time-dependent Maxwell's equations based on explicit-magnetic-field scheme,
Analysis of finite element approximation for time-dependent Maxwell problems,
Finite element analysis for wave propagation in double negative metamaterials,
The time dependent Maxwell system with measurable coefficients in Lipschitz domains,
Developing a time-domain finite element method for the Lorentz metamaterial model and applications,
Analysis of a kinematic dynamo model with FEM-BEM coupling,
On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations,
Block triangular preconditioners for the discretized time-harmonic Maxwell equations in mixed form,
Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations,
Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method,
Interface-penalty finite element methods for interface problems in \(H^1\), \(\boldsymbol{H} (\mathbf{curl})\), and \(\boldsymbol{H} (\operatorname{div})\),
Spectral analysis of the preconditioned system for the \(3 \times 3\) block saddle point problem,
Numerical study of the plasma-Lorentz model in metamaterials,
Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations,
Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law,
The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media,
Immersed virtual element methods for electromagnetic interface problems in three dimensions,
A note on preconditioning for the \(3\times 3\) block saddle point problem,
A conforming virtual element method based on unfitted meshes for the elliptic interface problem,
Extensive generalized shift-splitting preconditioner for \(3 \times 3\) block saddle point problems,
Finite-volume algorithm for solving the time-dependent Maxwell equations on unstructured meshes,
Computation of moments for Maxwell's equations with random interfaces via pivoted low-rank approximation,
A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets,
A block triangular preconditioner for a class of three-by-three block saddle point problems,
Two block preconditioners for a class of double saddle point linear systems,
Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks,
Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem,
A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems,
Back and forth error compensation and correction method for linear hyperbolic systems with application to the Maxwell's equations,
Existence results for a class of two-fold saddle point parabolic differential equations,
An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems,
Unnamed Item,
Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell's equations,
Unified analysis of leap-frog methods for solving time-domain Maxwell's equations in dispersive media,
New preconditioners with two variable relaxation parameters for the discretized time-harmonic Maxwell equations in mixed form,
Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center,
Finite element study of the Lorentz model in metamaterials,
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system,
Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell's equations,
Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials,
New preconditioning techniques for saddle point problems arising from the time-harmonic Maxwell equations,
Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case,
Constraint-preserving hybrid finite element methods for Maxwell's equations,
Mathematical analysis and finite element simulation of a magnetized ferrite model,
The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems,
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation,
Unnamed Item,
Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials,
Error analysis of mixed finite element methods for wave propagation in double negative metamaterials,
\(\mathbf A-\phi \) approaches of an eddy current problem based on solving certain potentials,
A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations,
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields,
Parallel numerical solution of the time‐harmonic Maxwell equations in mixed form,
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling,
Finite element analysis of transient electromagnetic scattering problems,
New block triangular preconditioner for linear systems arising from the discretized time-harmonic Maxwell equations,
Convergence of finite element \(A-\phi\) method for solving time-dependent Maxwell's equations,
Finite-element method for time-dependent Maxwell's equations based on an explicit-magnetic-field scheme,
Time-domain finite element method and analysis for modeling of surface plasmon polaritons,
Shift-splitting preconditioners for a class of block three-by-three saddle point problems,
Numerical analysis of a finite element method for the electromagnetic concentrator model,
An E-based splitting finite element method for time-dependent eddy current equations,
Developing and analyzing new unconditionally stable finite element schemes for Maxwell's equations in complex media,
Superconvergence analysis for Maxwell's equations in dispersive media,
Unnamed Item,
ANALYSIS OF THE INEXACT UZAWA ALGORITHMS FOR NONLINEAR SADDLE-POINT PROBLEMS,
Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions,
Two new finite element schemes and their analysis for modeling of wave propagation in graphene,
Parallel subspace correction methods for nearly singular systems,
A potential-based finite-element method for time-dependent Maxwell’s equations,
Finite volume methods for solving electromagnetic problems in nonhomogeneous media,
H(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem,
NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS,
On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems,
A new block-diagonal preconditioner for a class of \(3\times 3\) block saddle point problems,
A new FDTD scheme for Maxwell's equations in Kerr-type nonlinear media,
Improved analysis and simulation of a time-domain carpet cloak model,
Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks,
An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem,
Direct and inverse problems for electromagnetic scattering by a doubly periodic structure with a partially coated dielectric,
Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays,
An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients,
Discontinuous least-squares finite element method for the div-curl problem,
Unnamed Item,
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh,
Stabilized interior penalty methods for the time-harmonic Maxwell equations.,
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media