Convergence analysis of direct minimization and self-consistent iterations

E Cancès, G Kemlin, A Levitt - SIAM Journal on Matrix Analysis and …, 2021 - SIAM
This article is concerned with the numerical solution of subspace optimization problems,
consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed …

A new Sobolev gradient method for direct minimization of the Gross–Pitaevskii energy with rotation

I Danaila, P Kazemi - SIAM Journal on Scientific Computing, 2010 - SIAM
In this paper we improve traditional steepest descent methods for the direct minimization of
the Gross–Pitaevskii (GP) energy with rotation at two levels. We first define a new inner …

Riemannian Newton methods for energy minimization problems of Kohn–Sham type

R Altmann, D Peterseim, T Stykel - Journal of Scientific Computing, 2024 - Springer
This paper is devoted to the numerical solution of constrained energy minimization problems
arising in computational physics and chemistry such as the Gross–Pitaevskii and Kohn …

Energy-adaptive Riemannian optimization on the Stiefel manifold

R Altmann, D Peterseim, T Stykel - ESAIM: Mathematical Modelling …, 2022 - esaim-m2an.org
This paper addresses the numerical solution of nonlinear eigenvector problems such as the
Gross–Pitaevskii and Kohn–Sham equation arising in computational physics and chemistry …

Computation of ground states of the Gross--Pitaevskii functional via Riemannian optimization

I Danaila, B Protas - SIAM Journal on Scientific Computing, 2017 - SIAM
In this paper we combine concepts from Riemannian optimization P.-A. Absil, R. Mahony,
and R. Sepulchre, Optimization Algorithms on Matrix Manifolds, Princeton University Press …

Convergence of gradient-based algorithms for the Hartree-Fock equations∗

A Levitt - ESAIM: Mathematical Modelling and Numerical …, 2012 - cambridge.org
The numerical solution of the Hartree-Fock equations is a central problem in quantum
chemistry for which numerous algorithms exist. Attempts to justify these algorithms …

Numerical methods for Kohn–Sham models: Discretization, algorithms, and error analysis

E Cancès, A Levitt, Y Maday, C Yang - Density Functional Theory …, 2022 - Springer
Numerical Methods for Kohn–Sham Models: Discretization, Algorithms, and Error Analysis |
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Scalable domain decomposition eigensolvers for Schrödinger operators in anisotropic structures

L Theisen, P Henning, B Stamm, A Reusken - 2024 - publications.rwth-aachen.de
Kurzfassung Diese Arbeit behandelt die Konstruktion und Analyse von skalierbaren
Vorkonditionierungsstrategien für das lineare Schrödinger-Eigenwertproblem mit …

Analyse numérique pour la théorie de la fonctionnelle de densité

G Kemlin - 2022 - pastel.hal.science
La simulation moléculaire et le calcul de structures électroniques sont des outils
fondamentaux utilisés en chimie, physique de la matière condensée, biologie moléculaire …

[PDF][PDF] Bilan d'activités de la division Systèmes

M Baverel, D Normand-Cyrot - 2015 - hal.science
Bilan d'activités de la division Systèmes Page 1 HAL Id: hal-01140208 https://hal.science/hal-01140208
Submitted on 9 Apr 2015 HAL is a multi-disciplinary open access archive for the deposit and …