Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems
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Publication:6178103
DOI10.1137/22m1472103zbMath1518.65072arXiv2201.07035MaRDI QIDQ6178103
Xiaoying Dai, Unnamed Author, Bin Yang, Aihui Zhou
Publication date: 1 September 2023
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.07035
convergencenumerical approximationmathematical analysismetallic systemsensemble Kohn-Sham density functional theoryprecondtioned conjugate gradient method
Numerical optimization and variational techniques (65K10) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational principles of physics (49S05)
Cites Work
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- New algebraic formulation of density functional calculation
- Numerical analysis of finite dimensional approximations of Kohn-Sham models
- Direct minimization for ensemble electronic structure calculations
- Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
- Gradient Type Optimization Methods For Electronic Structure Calculations
- Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure
- Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model
- Restart procedures for the conjugate gradient method
- A Conjugate Gradient Method for Electronic Structure Calculations
- A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
- A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
- Electronic Structure
- Adaptive Finite Element Approximations for Kohn--Sham Models
- A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems
- Function minimization by conjugate gradients
- A Proximal Gradient Method for Ensemble Density Functional Theory
- The conjugate gradient method in extremal problems
- Methods of conjugate gradients for solving linear systems