scholarly journals Real-space local polynomial basis for solid-state electronic-structure calculations: A finite-element approach

1999 ◽  
Vol 59 (19) ◽  
pp. 12352-12358 ◽  
Author(s):  
J. E. Pask ◽  
B. M. Klein ◽  
C. Y. Fong ◽  
P. A. Sterne
Keyword(s):  
Finite Element ◽  
Electronic Structure ◽  
Solid State ◽  
Electronic Structure Calculations ◽  
Real Space ◽  
Polynomial Basis ◽  
Finite Element Approach ◽  
Local Polynomial ◽  
Element Approach ◽  
Structure Calculations

scholarly journals Multipole-preserving quadratures for the discretization of functions in real-space electronic structure calculations

2015 ◽  
Vol 17 (47) ◽  
pp. 31582-31591 ◽  
Author(s):  
Luigi Genovese ◽  
Thierry Deutsch
Keyword(s):  
Electronic Structure ◽  
Analytic Function ◽  
Collocation Method ◽  
Electronic Structure Calculations ◽  
Real Space ◽  
Space Grid ◽  
Structure Calculations

Discretizing an analytic function on a uniform real-space grid is often done via a straightforward collocation method.

Electronic Structure Calculations on a Real-Space Mesh with Multigrid Acceleration

1995 ◽  
Vol 408 ◽  
Author(s):  
D. J. Sullivan ◽  
E. L. Briggs ◽  
C. J. Brabec ◽  
J. Bernholc
Keyword(s):  
Electronic Structure ◽  
Ab Initio ◽  
Large Scale ◽  
Electronic Structure Calculations ◽  
High Energy ◽  
Real Space ◽  
Parallel Architectures ◽  
Wurtzite Phase ◽  
Ongoing Work ◽  
Structure Calculations

AbstractWe have developed 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 permit efficient calculations on ill-conditioned systems with long length scales or high energy cutoffs. We discuss the design of pseudopotentials for real-space grids, and the computation of ionic forces. The technique has been applied to several systems, including an isolated C60 molecule, the wurtzite phase of GaN, a 64-atom cell of GaN with the Ga d-states in valence, and a 443-atom protein. The method has been implemented on both vector and parallel architectures. We also discuss ongoing work on O(N) implementations and solvated biomolecules.

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