MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures

DOI10.4208/cicp.OA-2019-0004zbMath1473.35470OpenAlexW3011883130MaRDI QIDQ5162153

Chupeng Ma, Li-qun Cao, Jizu Huang, Yan Ping Lin

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0004

zbMATH Keywords

homogenizationCrank-Nicolson schemeMaxwell-Schrödinger systemmultiscale asymptotic method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogenization of the Maxwell equations. Case II: Nonlinear conductivity.
• Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media
• A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation
• A unified Hamiltonian solution to Maxwell-Schrödinger equations for modeling electromagnetic field-particle interaction
• Homogenization of the Maxwell equations. Case I: Linear theory.
• Homogenization of the Schrödinger equation and effective mass theorems
• A Multiscale Method for Optical Responses of Nanostructures
• Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials
• Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
• The Combined Schrödinger-Maxwell Problem in the Electronic/Electromagnetic Characterization of Nanodevices
• Finite Element Methods for Maxwell's Equations
• Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures

This page was built for publication: MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures