Title: Numerical resolution of algebraic systems containing complementary equations. Application to the thermodynamics of compositional multiphase mixtures.
Day of defense: October 7, 2020.
Advisors: Dr. Tran Quang Huy, Prof. Mounir Haddou, Dr. Ibtihel Ben Gharbia.
[6] Duc Thach Son Vu, Jacob S. Jordan, Matthew D. Eisaman, Application of a mathematical two-scale continuum model for acid pretreatment in basaltic glass: small-scale numerical simulations and optimal injection rate analysis, 2025, submitted.
[5] Duc Thach Son Vu, Tan M. Nguyen, Weiqing Ren, Learning and predicting dynamics of compositional multiphase mixtures using Graph Neural Networks, Journal of Computational Physics, Volume 529, 15 May 2025, 113851. Article
[4] Duc Thach Son Vu, Weiqing Ren, A deep learning approach for solving the stationary compositional two-phase equilibrium problems, Communications in Nonlinear Science and Numerical Simulation, Volume 138, November 2024, 107883. Article
doi:10.1016/j.cnsns.2024.107883
[3] Duc Thach Son Vu, Ibtihel Ben Gharbia, Mounir Haddou, Quang Huy Tran, A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems, Mathematics and Computers in Simulation, Volume 190, December 2021, Pages 1243-1274. Article
doi:10.1016/j.matcom.2021.07.015
[2] Ibtihel Ben Gharbia, Mounir Haddou, Quang Huy Tran, Duc Thach Son Vu, An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures, ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), Volume 55, Number 6, November-December 2021, Pages 2981 - 3016. Article
[1] Jing-Rebecca Li, Van-Dang Nguyen, Try Nguyen Tran, Jan Valdman, Cong-Bang Trang, Khieu Van Nguyen, Duc Thach Son Vu, Hoang An Tran, Hoang Trong An Tran, Thi Minh Phuong Nguyen, SpinDoctor: a Matlab toolbox for diffusion MRI simulation, NeuroImage, Volume 202, 15 November 2019, 116120. Article