A multigrid method for real-space solution of the Kohn᎐Sham equations is presented. By using this multiscale approach, the problem of critical slowing down typical of iterative real-space solvers is overcome. The method scales linearly in computer time with the number of electrons if the orbitals ar
Geometry optimization in density functional methods
✍ Scribed by J. Ulises Reveles; Andreas M. Köster
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 198 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0192-8651
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✦ Synopsis
Abstract
The geometry optimization in delocalized internal coordinates is discussed within the framework of the density functional theory program deMon. A new algorithm for the selection of primitive coordinates according to their contribution to the nonredundant coordinate space is presented. With this new selection algorithm the excessive increase in computational time and the deterioration of the performance of the geometry optimization for floppy molecules and systems with high average coordination numbers is avoided. A new step selection based on the Cartesian geometry change is introduced. It combines the trust radius and line search method. The structure of the new geometry optimizer is described. The influence of the SCF convergence criteria and the grid accuracy on the geometry optimization are discussed. A performance analysis of the new geometry optimizer using different start Hessian matrices, basis sets and grid accuracies is given. © 2004 Wiley Periodicals, Inc. J Comput Chem 25: 1109–1116, 2004
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