Mathematical analysis of transmission properties of electromagnetic meta-materials
DOI10.3934/nhm.2020002zbMath1441.35029arXiv1809.08824OpenAlexW2998442888MaRDI QIDQ2173159
Barbara Verfürth, Mario Ohlberger, Ben Schweizer, Maik Urban
Publication date: 22 April 2020
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.08824
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Resonance meets homogenization. Construction of meta-materials with astonishing properties
- The heterogeneous multiscale methods
- A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- Homogenization of the 3D Maxwell system near resonances and artificial magnetism
- Effective Maxwell's equations for perfectly conducting split ring resonators
- Finite element heterogeneous multiscale method for time-dependent Maxwell's equations
- Adaptive generalized multiscale finite element methods for \(\mathrm{H(curl)}\)-elliptic problems with heterogeneous coefficients
- Homogenization near resonances and artificial magnetism from dielectrics
- Singularities of electromagnetic fields in polyhedral domains
- Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
- Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials
- On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations
- Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings
- Homogenization of Maxwell's Equations in a Split Ring Geometry
- Effective Maxwell Equations in a Geometry with Flat Rings of Arbitrary Shape
- Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- ASYMPTOTIC BEHAVIOUR OF THE SPECTRA OF SYSTEMS OF MAXWELL EQUATIONS IN PERIODIC COMPOSITE MEDIA WITH HIGH CONTRAST
- A Negative Index Meta-Material for Maxwell's Equations
- On spectrum gaps of some divergent elliptic operators with periodic coefficients
- Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction
- Singularities of Maxwell interface problems
- Homogenization of a set of parallel fibres
- On an extension of the method of two-scale convergence and its applications
- High-dimensional finite elements for multiscale Maxwell-type equations
- Numerical Homogenization of H(curl)-Problems
- Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors
- Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients
- Effective Maxwell’s equations in general periodic microstructures
- A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast
- Heterogeneous Multiscale Method for the Maxwell equations with high contrast
- HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS
- A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations
- A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems
- On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM
- The Heterogeneous Multi-Scale Method for Homogenization Problems
This page was built for publication: Mathematical analysis of transmission properties of electromagnetic meta-materials