2 papers
math.AP2021
Local and nonlocal energy-based coupling models
Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi
In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the firs…
math.NA2019
Numerical approximations for a fully fractional Allen-Cahn equation
Gabriel Acosta, Francisco Bersetche
A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractiona…