Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media

DOI10.1016/j.amc.2010.10.002zbMath1225.65093OpenAlexW2029463380MaRDI QIDQ618091

Jian-lan Luo, Li-qun Cao, Chong-yu Wang

Publication date: 14 January 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.002

zbMATH Keywords

convergencenumerical resultsSchrödinger equationsemiconductorheterostructureboundary layer solutionsnanostructuresmultiscale asymptotic expansionrapidly oscillating coefficientsmultiscale finite elementeffective mass approximation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Homogenization of a variational problem in three-dimension space ⋮ Multiscale Algorithms and Computations for the Time-Dependent Maxwell--Schrödinger System in Heterogeneous Nanostructures ⋮ MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures ⋮ Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures ⋮ Fractional Schrödinger equation for heterogeneous media and Lévy like distributions

Cites Work

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• First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
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