Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics

Abstract In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulomb and harmonic potentials, and the all-electron Kohn–Sham density functional t...

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Bibliographic Details
Main Authors: Denis Davydov, Tymofiy Gerasimov, Jean-Paul Pelteret, Paul Steinmann
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Advanced Modeling and Simulation in Engineering Sciences
Subjects:
Adaptive finite element method
Partition-of-unity method
Error estimators
Schrödinger equation
Local interpolation error estimates
Density functional theory
Online Access:http://link.springer.com/article/10.1186/s40323-017-0093-0

Internet

http://link.springer.com/article/10.1186/s40323-017-0093-0

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