Difference schemes for Hamiltonian formalism and symplectic geometry
Journal of Computational Mathematics
A new family of mixed finite elements in IR3
Numerische Mathematik
A general convergence result for a functional related to the theory of homogenization
SIAM Journal on Mathematical Analysis
A mixed method for approximating Maxwell's equations
SIAM Journal on Numerical Analysis
Global superconvergence for Maxwell's equations
Mathematics of Computation
Homogenization of Periodically Varying Coefficients in Electromagnetic Materials
Journal of Scientific Computing
An Adaptive Multilevel Method for Time-Harmonic Maxwell Equations with Singularities
SIAM Journal on Scientific Computing
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
Journal of Computational and Applied Mathematics
Solving metamaterial Maxwell's equations via a vector wave integro-differential equation
Computers & Mathematics with Applications
Developing Finite Element Methods for Maxwell's Equations in a Cole-Cole Dispersive Medium
SIAM Journal on Scientific Computing
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We discuss multiscale computations of the initial-boundary value problem for three-dimensional time-dependent Maxwell's equations in composite materials. A multiscale algorithm is developed, and the convergence results are presented. Numerical simulations are carried out to validate the theoretical results reported in the present paper.