Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures

DOI10.1137/13091991XzbMath1312.74016OpenAlexW2079022229MaRDI QIDQ5251785

Jian-lan Luo, Li-qun Cao, Lei Zhang

Publication date: 21 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/13091991x

zbMATH Keywords

finite element methodhomogenizationmultiscale asymptotic expansionstationary Schrödinger-Poisson systemsthe effective mass approximation

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Asymptotic expansions of solutions to PDEs (35C20) Micromechanical theories (74A60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Multiscale Algorithms and Computations for the Time-Dependent Maxwell--Schrödinger System in Heterogeneous Nanostructures ⋮ MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures ⋮ Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response of Metallic Nanostructure Arrays

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