High Contrast Elliptic Operators in Honeycomb Structures
From MaRDI portal
Publication:5022761
DOI10.1137/21M1408968zbMath1481.35291arXiv2103.16682OpenAlexW3149134001MaRDI QIDQ5022761
Maxence Cassier, Michael I. Weinstein
Publication date: 19 January 2022
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16682
General topics in linear spectral theory for PDEs (35P05) Second-order elliptic equations (35J15) PDEs in connection with quantum mechanics (35Q40) Maxwell equations (35Q61)
Related Items (4)
ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials ⋮ On the Validity of the Tight-Binding Method for Describing Systems of Subwavelength Resonators ⋮ Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles ⋮ Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(T\)-coercivity: application to the discretization of Helmholtz-like problems
- Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions
- Multiparameter perturbation theory of Fredholm operators applied to Bloch functions
- A canonical decomposition for quadratic forms with applications to monotone convergence theorems
- Symmetry and Dirac points in graphene spectrum
- Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene
- Edge states and the valley Hall effect
- Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands
- Continuum Schrödinger operators for sharply terminated graphene-like structures
- Wave packet dynamics in slowly modulated photonic graphene
- Wave packets in honeycomb structures and two-dimensional Dirac equations
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- About stability and regularization of ill-posed elliptic Cauchy problems: the case of Lipschitz domains
- Convergent Power Series for Fields in Positive or Negative High-Contrast Periodic Media
- On spectrum gaps of some divergent elliptic operators with periodic coefficients
- Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media
- Finite Element Methods for Navier-Stokes Equations
- Sur les singularités de van Hove génériques
- Homogenization of Periodic Structures via Bloch Decomposition
- Spectral Properties of Classical Waves in High-Contrast Periodic Media
- Spectral properties of periodic media in the large coupling limit
- ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
- Honeycomb Schrödinger Operators in the Strong Binding Regime
- Trapped modes in thin and infinite ladder like domains. Part 1: Existence results
- Creating Band Gaps in Periodic Media
- Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators
- Finite Element Methods for Maxwell's Equations
- New development in freefem++
- Honeycomb-Lattice Minnaert Bubbles
- ERRATUM: Spectral Band Degeneracies of $\frac{\pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators
- The bulk-edge correspondence for continuous honeycomb lattices
- Bloch waves in crystals and periodic high contrast media
- HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
- Honeycomb lattice potentials and Dirac points
- Resolvent estimates for high-contrast elliptic problems with periodic coefficients
This page was built for publication: High Contrast Elliptic Operators in Honeycomb Structures
