25 citations · 31 across the 12 of their papers we have counts for
20 papers
Non-local homogenization limits of discrete elastic spring network models with random coefficients
Patrick Dondl, Martin Heida, Simone Hermann
This work examines a discrete elastic energy system with local interactions described by a discrete second-order functional in the symmetric gradient and additional non-local rando…
Voronoi Graph -- Improved raycasting and integration schemes for high dimensional Voronoi diagrams
Alexander Sikorski, Martin Heida
The computation of Voronoi Diagrams, or their dual Delauney triangulations is difficult in high dimensions. In a recent publication Polianskii and Pokorny propose an iterative rand…
An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity
Martin Heida, Benedikt Jahnel, Anh Duc Vu
We exhibit a percolating ergodic and isotropic lattice model in all but at least two dimensions that has zero effective conductivity in all spatial directions and for all non-trivi…
Stochastic Homogenization on Irregularly Perforated Domains
Martin Heida, Benedikt Jahnel, Anh Duc Vu
We study stochastic homogenization of a quasilinear parabolic PDE with nonlinear microscopic Robin conditions on a perforated domain. The focus of our work lies on the underlying g…
Stochastic two-scale convergence and Young measures
Martin Heida, Stefan Neukamm, Mario Varga
In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikelić and Wright), the notion of stochastic unfolding (recently introduced by th…
Stochastic homogenization on perforated domains I -- Extension operators
Martin Heida
We study the existence of uniformly bounded extension and trace operators for W^{1,p}-functions on randomly perforated domains, where the geometry is assumed to be stationary ergod…