Publications
Papers
[1] Dandan Jiang, Mejdi Azaiez, Alain Miranville, Chuanju Xu. Nonlocal Cahn-Hilliard type model for image inpainting. Computers & Mathematics with Applications, 159, pp.76-91, (2024). doi.org/10.1016/j.camwa.2024.01.019
[2] Hui Yao, Mejdi Azaiez. A monolithic model of solid–liquid phase change problem. Computer Methods in Applied Mechanics and Engineering, 421, pp.116794, (2024). doi.org/10.1016/j.cma.2024.116794
[3] Dandan Jiang, Mejdi Azaiez, Alain Miranville, Chuanju Xu, Hui Yao. On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn–Hilliard type inpainting model. Mathematics and Computers in Simulation, 225, pp.461-479, (2024). doi.org/10.1016/j.matcom.2024.05.023
[4] Yayu Guo, Mejdi Azaïez, Chuanju Xu. Error analysis of a reduced order method for the Allen-Cahn equation. Applied Numerical Mathematics: an IMACS journal, 203, pp.186-201, (2024). doi.org/10.1016/j.apnum.2024.03.021
[5] Mejdi Azaiez, Anna Doubova, Sylvain Ervedoza, F Jelassi, Maimouna Mint Brahim. Computational Shape Derivatives in Heat Conduction: An Optimization Approach for Enhanced Thermal Performance. 2024. ⟨hal-04820339⟩ hal-04820339
[6] Hui Yao , A phase field method for convective phase change problem preserving maximum bound principle. Applied Numerical Mathematics, 204, 232–248, (2024). doi.org/10.1016/j.apnum.2024.06.012
[7] Cyrille Allery, Claudine Béghein, Claire Dubot, Fabien Dubot, A POD-Galerkin reduced order model coupled with neural networks to solve flow in porous media. Journal of Computational Science, 84, 102471, (2025). doi.org/10.1016/j.jocs.2024.102471
