dorsal/arxiv
View SchemaOne-way multigrid method in electronic structure calculations
| Authors | In-Ho Lee, Yong-Hoon Kim, Richard Martin |
|---|---|
| Categories | |
| ArXiv ID | physics/9911030 |
| URL | https://arxiv.org/abs/physics/9911030 |
| DOI | 10.1103/PhysRevB.61.4397 |
| Journal | Phys. Rev. B 61, 4397-4400 (2000) |
Abstract
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 calculations.
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"abstract": "We propose a simple and efficient one-way multigrid method for\nself-consistent electronic structure calculations based on iterative\ndiagonalization. Total energy calculations are performed on several different\nlevels of grids starting from the coarsest grid, with wave functions\ntransferred to each finer level. The only changes compared to a single grid\ncalculation are interpolation and orthonormalization steps outside the original\ntotal energy calculation and required only for transferring between grids. This\nfeature results in a minimal amount of code change, and enables us to employ a\nsophisticated interpolation method and noninteger ratio of grid spacings.\nCalculations employing a preconditioned conjugate gradient method are presented\nfor two examples, a quantum dot and a charged molecular system. Use of three\ngrid levels with grid spacings 2h, 1.5h, and h decreases the computer time by\nabout a factor of 5 compared to single level calculations.",
"arxiv_id": "physics/9911030",
"authors": [
"In-Ho Lee",
"Yong-Hoon Kim",
"Richard Martin"
],
"categories": [
"physics.comp-ph",
"cond-mat.mtrl-sci"
],
"doi": "10.1103/PhysRevB.61.4397",
"journal_ref": "Phys. Rev. B 61, 4397-4400 (2000)",
"title": "One-way multigrid method in electronic structure calculations",
"url": "https://arxiv.org/abs/physics/9911030"
},
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