An Adaptive Planewave Method for Electronic Structure Calculations
DOI10.1137/21M1396241zbMath1487.65175arXiv2012.14806OpenAlexW4297778700MaRDI QIDQ5865252
Jun Fang, Xingyu Gao, Huajie Chen, Beilei Liu, Geneviève Dusson
Publication date: 13 June 2022
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.14806
adaptive algorithmerror estimateelectronic structure calculationenergy cut-offplanewave methodprojector augmented wave method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher-order adaptive finite-element methods for Kohn-Sham density functional theory
- Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique
- A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations
- Numerical analysis of nonlinear eigenvalue problems
- Finite element approximations of nonlinear eigenvalue problems in quantum physics
- A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Non-periodic finite-element formulation of Kohn-Sham density functional theory
- Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
- Adaptive finite element methods with convergence rates
- Numerical analysis of finite dimensional approximations of Kohn-Sham models
- Variational projector augmented-wave method: theoretical analysis and preliminary numerical results
- Variational projector augmented-wave method
- Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models
- An optimal control approach to a posteriori error estimation in finite element methods
- CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Spectral Approximation for Compact Operators
- Aposteriorianalysis of a nonlinear Gross–Pitaevskii-type eigenvalue problem
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Projector augmented-wave method: an analysis in a one-dimensional setting
- Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters
- Implementation of the Projector Augmented-Wave Method: The Use of Atomic Datasets in the Standard PAW-XML Format
- Numerical Methods for Electronic Structure Calculations of Materials
- Adaptive Finite Element Approximations for Kohn--Sham Models
- Spectral Methods
- Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations
- Adaptive Fourier-Galerkin methods
- Electronic Structure