54 citations · 182 across the 23 of their papers we have counts for
5 papers · 1 filter
H-compactness of elliptic operators on weighted Riemannian Manifolds
Helmer Hoppe, Jun Masamune, Stefan Neukamm
In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral propertie…
Stochastic unfolding and homogenization of spring network models
Stefan Neukamm, Mario Varga
The aim of our work is to provide a simple homogenization and discrete-to-continuum procedure for energy driven problems involving stochastic rapidly-oscillating coefficients. Our…
An introduction to the qualitative and quantitative theory of homogenization
Stefan Neukamm
We present an introduction to periodic and stochastic homogenization of ellip- tic partial differential equations. The first part is concerned with the qualitative theory, which we…
Berry-Esseen Theorem and Quantitative homogenization for the Random Conductance Model with degenerate Conductances
Sebastian Andres, Stefan Neukamm
We study the random conductance model on the lattice , i.e. we consider a linear, finite-difference, divergence-form operator with random coefficients and the associa…
Quantitative homogenization in nonlinear elasticity for small loads
Stefan Neukamm, Mathias Schäffner
We study quantitative periodic homogenization of integral functionals in the context of non-linear elasticity. Under suitable assumptions on the energy densities (in particular fra…