Finite Element Approximations for Schrödinger Equations with Applications to Electronic Structure Computations

Finite Element Approximations for Schrödinger Equations with Applications to Electronic Structure Computations

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 310–323

Abstract

In this paper, both the standard finite element discretization and a two-scale finite element discretization for Schrödinger equations are studied. The numerical analysis is based on the regularity that is also obtained in this paper for the Schrödinger equations. Very satisfying applications to electronic structure computations are provided, too.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8627

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 310–323

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Error analysis Finite element Eigenvalue Quantum chemistry Schrödinger equation Two-scale.