A Multiscale Reduced Basis Method for the Schrödinger Equation With Multiscale and Random Potentials
DOI10.1137/19M127389XzbMath1454.35070arXiv1907.00349OpenAlexW3092395095MaRDI QIDQ5137941
Dingjiong Ma, Jingrun Chen, Zhiwen Zhang
Publication date: 3 December 2020
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00349
quasi-Monte Carlo methodAnderson localizationoptimization methodrandom Schrödinger equationmultiscale reduced basis function
Numerical optimization and variational techniques (65K10) Schrödinger operator, Schrödinger equation (35J10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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