Multigrid Methods in Electronic Structure Calculations
| dc.creator | Briggs, E. L. | |
| dc.creator | Sullivan, D. J. | |
| dc.creator | Bernholc, J. | |
| dc.date | 1996-06-21 | |
| dc.date.accessioned | 2026-07-07T09:15:53Z | |
| dc.date.available | 2026-07-07T09:15:53Z | |
| dc.description | We describe a set of techniques for performing large scale ab initio calculations using multigrid accelerations and a real-space grid as a basis. The multigrid methods provide effective convergence acceleration and preconditioning on all length scales, thereby permitting efficient calculations for ill-conditioned systems with long length scales or high energy cut-offs. We discuss specific implementations of multigrid and real-space algorithms for electronic structure calculations, including an efficient multigrid-accelerated solver for Kohn-Sham equations, compact yet accurate discretization schemes for the Kohn-Sham and Poisson equations, optimized pseudo\-potentials for real-space calculations, efficacious computation of ionic forces, and a complex-wavefunction implementation for arbitrary sampling of the Brillioun zone. A particular strength of a real-space multigrid approach is its ready adaptability to massively parallel computer architectures, and we present an implementation for the Cray-T3D with essentially linear scaling of the execution time with the number of processors. The method has been applied to a variety of periodic and non-periodic systems, including disordered Si, a N impurity in diamond, AlN in the wurtzite structure, and bulk Al. The high accuracy of the atomic forces allows for large step molecular dynamics; e.g., in a 1 ps simulation of Si at 1100 K with an ionic step of 80 a.u., the total energy was conserved within 27 microeV per atom. | |
| dc.description | RevTeX preprint format, 41 pages, 4 postscript figures | |
| dc.identifier | https://arxiv.org/abs/mtrl-th/9606002 | |
| dc.identifier | http://arxiv.org/abs/mtrl-th/9606002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153175 | |
| dc.subject | Materials Science | |
| dc.title | Multigrid Methods in Electronic Structure Calculations | |
| dc.type | text |