58 citations · 59 across the 5 of their papers we have counts for
7 papers
AGENTS4GEOS: agentic platform for open-source multi-physics simulation
Adriano M. A. Côrtes, Roberto M. Velho, Fernando A. Rochinha +3
Multi-physics simulations are essential for understanding and monitoring intricate subsurface processes such as CO2 storage. Their computational demands call for surrogate models a…
Towards Fast GNN Surrogates for CO2 Migration in Complex Geological Formations
Rodrigo S. Luna, Thiago H. N. Coelho, Luiz S. L. Neto +8
This chapter discusses how a data-driven machine learning approach can reproduce key aspects of the physical behavior of multiphase flows in complex geological formations. We propo…
Estimating, Monitoring, and Forecasting the Covid-19 Epidemics: A Spatio-Temporal Approach Applied to NYC Data
Vinicius V. L. Albani, Roberto M. Velho, Jorge P. Zubelli
We propose an SEIR-type meta-population model to simulate and monitor the Covid-19 epidemic evolution. The basic model consists of seven compartments, namely susceptible (S), expos…
An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations
Adriano Festa, Diogo A. Gomes, Roberto M. Velho
Here, we introduce a numerical approach for a class of Fokker-Planck (FP) equations. These equations are the adjoint of the linearization of Hamilton-Jacobi (HJ) equations. Using t…
On the Hughes Model and Numerical Aspects
Diogo A. Gomes, Roberto M. Velho
We study a crowd model proposed by R. Hughes and we describe a numerical approach to solve it. The Hughes model comprises a Fokker-Planck equation coupled with an eikonal equation…
Dual two-state mean-field games
Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram
In this paper, we consider two-state mean-field games and its dual formulation. We then discuss numerical methods for these problems. Finally, we present various numerical experime…
Socio-economic applications of finite state mean field games
Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram
In this paper we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or the con…