3 citations · 5 across the 15 of their papers we have counts for
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math.AP2018★ 1 cited
Homogenization of high-contrast Mumford-Shah energies
Xavier Pellet, Lucia Scardia, Caterina Ida Zeppieri
We prove a homogenization result for Mumford-Shah-type energies associated to a brittle composite material with weak inclusions distributed periodically at a scale ${\varepsilon}>0…
math.AP2018
Quantitative analysis of finite-difference approximations of free-discontinuity problems
Annika Bach, Andrea Braides, Caterina Ida Zeppieri
Motivated by applications to image reconstruction, in this paper we analyse a \emph{finite-difference discretisation} of the Ambrosio-Tortorelli functional. Denoted by $\varepsilon…