An adaptive FEM with ITP approach for steady Schrödinger equation

DOI10.1080/00207160.2017.1366463zbMath1390.65147OpenAlexW2745247114MaRDI QIDQ4641524

Guanghui Hu, Yang Kuang

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1366463

zbMATH Keywords

finite element methodground stateSchrödinger equationmoving mesh methodimaginary time propagation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

A Linearized Structure-Preserving Numerical Scheme for a Gradient Flow Model of the KohnSham Density Functional Theory ⋮ Numerical solution for Schrödinger eigenvalue problem using isogeometric analysis on implicit domains ⋮ On Stabilizing and Accelerating SCF Using ITP in Solving Kohn–Sham Equation ⋮ An asymptotics-based adaptive finite element method for Kohn-Sham equation ⋮ A novel tetrahedral spectral element method for Kohn-Sham model

Uses Software

• Gross-Pitaevskii
• GP-SCL-HYB
• imagtime3d-hyb
• realtime3d-hyb
• AEDU
• GP-SCL
• imagetime1d
• BEC-GP-OMP-FOR

Cites Work

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• Moving mesh methods in multiple dimensions based on harmonic maps

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