A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates. - Ionut Danaila; Frédéric Hecht (J. Comput. Phys., 2010)

A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation. - Ionut Danaila; Parimah Kazemi (SIAM J. Sci. Comput., 2010)

A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings. - Y. Zhang; Ionut Danaila (J. Num. Math., 2012)

Sobolev Gradients and Image Interpolation. - Parimah Kazemi; Ionut Danaila (SIAM J. Imaging Sci., 2012)

A Newton method with adaptive finite elements for solving phase-change problems with natural convection. - Ionut Danaila; Raluca Moglan; Frédéric Hecht; Stéphane Le Masson (J. Comput. Phys., 2014)

A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation. - Guillaume Vergez; Ionut Danaila; Sylvain Auliac; Frédéric Hecht (Comput. Phys. Commun., 2016)

Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization. - Ionut Danaila; Bartosz Protas (SIAM J. Sci. Comput., 2017)

An efficient Adaptive Mesh Refinement (AMR) algorithm for the Discontinuous Galerkin method: Applications for the computation of compressible two-phase flows. - Andreas Papoutsakis; Sergei S. Sazhin; Steven Begg; Ionut Danaila; Francky Luddens (J. Comput. Phys., 2018)

A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection. - Aina Rakotondrandisa; Georges Sadaka; Ionut Danaila (Comput. Phys. Commun., 2020)

Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection. - Georges Sadaka; Aina Rakotondrandisa; Pierre-Henri Tournier; Francky Luddens; Corentin Lothodé; Ionut Danaila (Comput. Phys. Commun., 2020)

Quantum turbulence simulations using the Gross-Pitaevskii equation: High-performance computing and new numerical benchmarks. - Michikazu Kobayashi; Philippe Parnaudeau; Francky Luddens; Corentin Lothodé; Luminita Danaila; Marc Brachet; Ionut Danaila (Comput. Phys. Commun., 2021)

Identification of vortices in quantum fluids: Finite element algorithms and programs. - Victor Kalt; Georges Sadaka; Ionut Danaila; Frédéric Hecht (Comput. Phys. Commun., 2023)

Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows. - Marc Brachet; Georges Sadaka; Zhentong Zhang; Victor Kalt; Ionut Danaila (J. Comput. Phys., 2023)

On the convergence of a low order Lagrange finite element approach for natural convection problems. - Cécile Legrand; Francky Luddens; Ionut Danaila (Comput. Math. Appl., 2023)

Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model. - Cyril Tain; Jean-Guy Caputo; Ionut Danaila (CoRR, 2024)

Physics Informed Neural Networks for heat conduction with phase change. - Bahae-Eddine Madir; Francky Luddens; Corentin Lothodé; Ionut Danaila (CoRR, 2024)

A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates. - Georges Sadaka; Victor Kalt; Ionut Danaila; Frédéric Hecht (Comput. Phys. Commun., 2024)

Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates. - Georges Sadaka; Pierre Jolivet; Efstathios G. Charalampidis; Ionut Danaila (Comput. Phys. Commun., 2025)

An implicit regularized enthalpy Lattice Boltzmann Method for the Stefan problem. - Francky Luddens; Corentin Lothodé; Ionut Danaila (CoRR, 2025)