Analysis of a one-dimensional free boundary flow problem. - Alexandre Caboussat; Jacques Rappaz (Numerische Mathematik, 2005)

Modeling and computation of the shape of a compressed axisymmetric gas bubble. - Alexandre Caboussat; Roland Glowinski (J. Num. Math., 2008)

A numerical method for interface reconstruction of triple points within a volume tracking algorithm. - Alexandre Caboussat; Marianne M. Francois; Roland Glowinski; Douglas B. Kothe; James M. Sicilian (Math. Comput. Model., 2008)

An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. - Alexandre Caboussat; Roland Glowinski; Victoria Pons (J. Num. Math., 2009)

Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry. - Chantal Landry; Alexandre Caboussat; Ernst Hairer (SIAM J. Sci. Comput., 2009)

Numerical approximation of electromagnetic signals arising in the evaluation of geological formations. - Alexandre Caboussat; G. K. Miers (Comput. Math. Appl., 2010)

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection. - Alexandre Caboussat; Chantal Landry; Jacques Rappaz (J. Optim. Theory Appl., 2010)

Numerical Methods for the Vector-Valued Solutions of Non-smooth Eigenvalue Problems. - Alexandre Caboussat; Roland Glowinski (J. Sci. Comput., 2010)

Primal-dual interior-point method for thermodynamic gas-particle partitioning. - Alexandre Caboussat (Comput. Optim. Appl., 2011)

On the modeling and simulation of non-hydrostatic dam break flows. - Alexandre Caboussat; Sébastien Boyaval; Alexandre Masserey (Comput. Vis. Sci., 2011)

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision. - Alexandre Caboussat; Pascal Clausen; Jacques Rappaz (Math. Comput. Model., 2012)

A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant. - Alexandre Caboussat; Roland Glowinski (ENUMATH, 2013)

On the Numerical Solution of the Dirichlet Problem for the Elliptic $$( sigma _2)$$ ( σ 2 ) Equation. - Alexandre Caboussat (Modeling, Simulation and Optimization for Science and Technology, 2014)

A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge-Ampère Equation. - Alexandre Caboussat; Roland Glowinski; Dimitrios Gourzoulidis (J. Sci. Comput., 2018)

An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant. - Alexandre Caboussat; Roland Glowinski (SIAM J. Sci. Comput., 2018)

A Second Order Time Integration Method for the Approximation of a Parabolic 2D Monge-Ampère Equation. - Alexandre Caboussat; Dimitrios Gourzoulidis (ENUMATH, 2019)

Numerical Approximation of Orthogonal Maps. - Alexandre Caboussat; Roland Glowinski; Dimitrios Gourzoulidis; Marco Picasso (SIAM J. Sci. Comput., 2019)

An anisotropic adaptive method for the numerical approximation of orthogonal maps. - Alexandre Caboussat; Dimitrios Gourzoulidis; Marco Picasso (J. Comput. Appl. Math., 2022)

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. - Alexandre Caboussat; Roland Glowinski; Dimitrios Gourzoulidis (J. Sci. Comput., 2022)

Numerical simulation of temperature-driven free surface flows, with application to laser melting and polishing. - Alexandre Caboussat; Julien Hess; Alexandre Masserey; Marco Picasso (J. Comput. Phys. X, 2023)

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects. - Alexandre Caboussat; Julien Hess; Alexandre Masserey; Marco Picasso (J. Comput. Phys., 2024)

Convex Physics Informed Neural Networks for the Monge-Ampère Optimal Transport Problem. - Alexandre Caboussat; Anna Peruso (CoRR, 2025)

Error estimates and adaptivity for a least-squares method applied to the Monge-Ampère equation. - Alexandre Caboussat; Anna Peruso; Marco Picasso (CoRR, 2025)