2 papers
math.OC2024
Efficient Computation of Mean field Control based Barycenters from Reaction-Diffusion Systems
Arjun Vijaywargiya, Guosheng Fu, Stanley Osher +1
We develop a class of barycenter problems based on mean field control problems in three dimensions with associated reactive-diffusion systems of unnormalized multi-species densitie…
math.NA2023
Two Finite Element Approaches For The Porous Medium Equation That Are Positivity Preserving And Energy Stable
Arjun Vijaywargiya, Guosheng Fu
In this work, we present the construction of two distinct finite element approaches to solve the Porous Medium Equation (PME). In the first approach, we transform the PME to a log-…