Numerical simulations often involve 3D objects with spherical topology, e.g. rigid particles, drops, vesicles. When the underlying numerical method is based on boundary integral equations, standard qu...
We review space and time discretizations of the Cahn-Hilliard equation which are energy stable. In many cases, we prove that a solution converges to a steady state as time goes to infinity. The proof ...
We present a kinetic model for opinion dynamics depending on the presence of social media contacts. Firstly, we describe how to model the evolution of the density of contacts starting from the microsc...
Modelling of gas networks, fluid-structure systems and multi-phase flows requires development of coupling techniques. Recent works on coupling of hyperbolic systems of conservation laws based on solvi...
In this work, we propose a well-balanced Implicit-Explicit Runge-Kutta scheme for the efficient simulation of the Baer-Nunziato model at all-Mach regimes. The numerical method is based on the explicit...
We present our recent result on the error analysis of the finite volume Godunov method when applied to multidimensional Euler equations of gas dynamics. The main tool is to use a problem-related metri...
We discuss models for reaction-diffusion phenomena based on hyperbolic equations. The standard approach uses parabolic systems, which are well suited to explain events such as heat transmission in clo...
This talk describes a novel subface flux-based Finite Volume (FV) method for discretizing multi-dimensional hyperbolic systems of conservation laws of general unstructured grids. The subface flux nume...
In this talk we aim to describe well-balanced Lagrange-projection schemes that can be exploited for the numerical simulation of not only geophysical but also biological flows. In a few words, such met...
In this talk, we will present a novel family of high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) Discontinuous Galerkin (DG) schemes with a posteriori subcell Finite Volume (FV) limiter,...
Solutions of many nonlinear PDE systems reveal a multiscale character; thus, their numerical resolution presents some major difficulties. Such problems are typically characterized by a small parameter...
Monotonicity conditions are crucial in Mean Field Game (MFG) theory, highlighted by the uniqueness results of Larry and Lions. This talk introduces a functional analytic framework to understand MFGs t...
