Thehp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
Mathematics of Computation
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
An E-based splitting finite element method for time-dependent eddy current equations
Journal of Computational and Applied Mathematics
Error analysis of mixed finite element methods for wave propagation in double negative metamaterials
Journal of Computational and Applied Mathematics
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation
Computers & Mathematics with Applications
A-φ approaches of an eddy current problem based on solving certain potentials
Computers & Mathematics with Applications
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
Journal of Computational and Applied Mathematics
Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations
Journal of Computational Physics
An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
SIAM Journal on Scientific Computing
Journal of Scientific Computing
Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
Journal of Computational Physics
Developing Finite Element Methods for Maxwell's Equations in a Cole-Cole Dispersive Medium
SIAM Journal on Scientific Computing
Modified block preconditioners for the discretized time-harmonic Maxwell equations in mixed form
Journal of Computational and Applied Mathematics
Numerical Study of the Plasma-Lorentz Model in Metamaterials
Journal of Scientific Computing
Journal of Scientific Computing
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We investigate the finite element methods for solving time-dependent Maxwell equations with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains. Both matching and nonmatching finite element meshes on the interfaces are considered, and optimal error estimates for both cases are obtained. The analysis of the latter case is based on an abstract framework for nested saddle point problems, along with a characterization of the trace space for H(curl;D), a new extension theorem for H(curl;D) functions in any Lipschitz domain D, and a novel compactness argument for deriving discrete inf-sup conditions.