Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation

DOI10.1134/S1064562412060130zbMath1262.65135OpenAlexW2067482660MaRDI QIDQ1945189

I. A. Zlotnik, Alexander Zlotnik

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412060130

zbMATH Keywords

finite element methodSchrödinger equationunbounded domainstransparent boundary conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations

Uses Software

• Algorithm 413

Cites Work

• Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
• On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I
• On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation
• On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II.
• Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
• Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip

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