242 citations · 611 across the 19 of their papers we have counts for
3 papers · 1 filter
A mixed formulation for the fractional Poisson problem
Juan Pablo Borthagaray, Nahuel de León
The mixed formulation of the classical Poisson problem introduces the flux as an additional variable, leading to a system of coupled equations. Using fractional calculus identities…
A deep first-order system least squares method for the obstacle problem
Gabriel Acosta, Eugenia Belén, Francisco M. Bersetche +1
We propose a deep learning approach to the obstacle problem inspired by the first-order system least-squares (FOSLS) framework. This method reformulates the problem as a convex min…
On some coupled local and nonlocal diffusion models
Juan Pablo Borthagaray, Patrick Ciarlet
We study problems in which a local model is coupled with a nonlocal one. We propose two energies: both of them are based on the same classical weighted -semi norm to model the…