3 citations · 3 across the 5 of their papers we have counts for
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Stochastic homogenization of degenerate integral functionals with linear growth
Matthias Ruf, Caterina Ida Zeppieri
We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on , whose integrands satisfy degenerate linear growth conditions…
Stochastic homogenization of degenerate integral functionals and their Euler-Lagrange equations
Matthias Ruf, Thomas Ruf
We prove stochastic homogenization for integral functionals defined on Sobolev spaces, where the stationary, ergodic integrand satisfies a degenerate growth condition of the form \…
Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
Annika Bach, Matthias Ruf
In this paper we derive quantitative estimates in the context of stochastic homogenization for integral functionals defined on finite partitions, where the random surface integrand…
Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size
Annika Bach, Marco Cicalese, Matthias Ruf
We propose and analyze a finite-difference discretization of the Ambrosio-Tortorelli functional. It is known that if the discretization is made with respect to an underlying period…
Loss of strong ellipticity through homogenization in 2D linear elasticity: A phase diagram
Antoine Gloria, Matthias Ruf
Since the seminal contribution of Geymonat, Müller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved through periodic homogenization in linear…
Motion of discrete interfaces in low-contrast random environments
Matthias Ruf
We study the asymptotic behavior of a discrete-in-time minimizing movement scheme for square lattice interfaces when both the lattice spacing and the time step vanish. The motion i…