A Multiscale Finite Element Method for the Schrödinger Equation with Multiscale Potentials
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Publication:5240799
DOI10.1137/19M1236989zbMath1428.35111arXiv1901.00343OpenAlexW2980899429MaRDI QIDQ5240799
Jingrun Chen, Dingjiong Ma, Zhiwen Zhang
Publication date: 29 October 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00343
Schrödinger operator, Schrödinger equation (35J10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
A Multiscale Reduced Basis Method for the Schrödinger Equation With Multiscale and Random Potentials ⋮ Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials ⋮ Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials ⋮ Superconvergence of time invariants for the Gross–Pitaevskii equation
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