One-way multigrid method in electronic-structure calculations

We propose a simple and efficient one-way multigrid method for self-consistent electronic structure calculations based on iterative diagonalization. Total energy calculations are performed on several different levels of grids starting from the coarsest grid, with wave functions transferred to each finer level. The, only changes compared to a single grid calculation are interpolation and orthonormalization steps outside the original total energy calculation and required only for transferring between grids. This feature results in a minimal amount of code change, and enables us to employ a sophisticated interpolation method and noninteger ratio of grid spacings. Calculations employing a preconditioned conjugate gradient method are presented for two examples, a quantum dot and a charged molecular system. Use of three grid levels with grid spacings 2h, 1.5h, and h decreases the computer time by about a factor of 5 compared to single level calculating.
Publisher
AMERICAN PHYSICAL SOC
Issue Date
2000-02
Language
ENG
Keywords

DIFFERENCE-PSEUDOPOTENTIAL METHOD; FINITE-DIFFERENCE; MOLECULAR-DYNAMICS

Citation

PHYSICAL REVIEW B, v.61, no.7, pp.4397 - 4400

ISSN
1098-0121
DOI
10.1103/PhysRevB.61.4397
URI
http://hdl.handle.net/10203/75001
Appears in Collection
EEW-Journal Papers(저널논문)
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