1. Real-space density functional theory and time dependent density functional theory using finite/infinite element methods
- Author
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Soba, Alejandro, Bea, Edgar Alejandro, Houzeaux, Guillaume, Calmet, Hadrien, and Cela, José María
- Subjects
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DENSITY functionals , *FINITE element method , *NUMERICAL analysis , *ELECTRONIC structure , *HARTREE-Fock approximation , *PARALLEL computers , *POLYNOMIALS , *MATHEMATICAL models - Abstract
Abstract: We present a numerical approach using the finite element method to discretize the equations that allow getting a first-principles description of multi-electronic systems within DFT and TD-DFT formalisms. A strictly local polynomial function basis set is used in order to represent the entire real-space domain. Infinite elements are introduced to model the infinite external boundaries in the case of Hartree’s equation. The diagonal mass matrix is obtained using a close integration rule, reducing the generalized eigenvalue problem to a standard one. This framework of electronic structure calculation is embedded in a high performance computing environment with a very good parallel behavior. [Copyright &y& Elsevier]
- Published
- 2012
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