3 papers
math.NA2023
A paradigm for well-balanced schemes for traveling waves emerging in parabolic biological models
Mete Demircigil, Benoit Fabreges
We propose a methodology for designing well-balanced numerical schemes to investigate traveling waves in parabolic models from mathematical biology. We combine well-balanced techni…
math.AP2021
Relaxation limit of the aggregation equation with pointy potential
Benoît Fabrèges, Frédéric Lagoutière, Tran Tien +1
This work is devoted to the study of a relaxation limit of the so-called aggregation equation with a pointy potential in one dimensional space. The aggregation equation is by now w…
math.NA2012
Approximation of single layer distributions by Dirac masses in Finite Element computations
Benoit Fabrèges, Bertrand Maury
We are interested in the finite element solution of elliptic problems with a right-hand side of the single layer distribution type. Such problems arise when one aims at accounting…