Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation

DOI10.3934/krm.2012.5.639zbMath1267.65144arXiv1406.5102OpenAlexW2324069163MaRDI QIDQ1930437

Ilya Zlotnik, Alexander Zlotnik

Publication date: 11 January 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5102

zbMATH Keywords

stabilityGalerkin methodfinite element methodnumerical examplestime-dependent Schrödinger equationCrank-Nicolson methodtunnel effectdiscrete convolution operatorapproximate and discrete transparent boundary conditions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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