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math.AP2026
Quasistatic evolution of cohesive-type fracture
Vito Crismale, Manuel Friedrich
We prove the existence of globally stable quasistatic evolutions for a cohesive fracture model with unprescribed crack path and without any topological restriction, in arbitrary di…
math.AP2025
Adaptive finite element approximation for quasi-static crack growth
Vito Crismale, Manuel Friedrich, Joscha Seutter
We provide an adaptive finite element approximation for a model of quasi-static crack growth in dimension two. The discrete setting consists of integral functionals that are define…
math.AP2024
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
Vito Crismale, Lucia De Luca, Riccardo Scala
We further investigate the properties of an approach to topological singularities through free discontinuity functionals of Mumford-Shah type proposed in \cite{DLSVG}. We prove the…