Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Heida, Martin"'
Autor:
Sikorski, Alexander, Heida, Martin
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 randomized algorithm facilitating the approximation of Voronoi tesselation
Externí odkaz:
http://arxiv.org/abs/2405.10050
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-trivial choices of the connectivity parameter. The model is based on the so
Externí odkaz:
http://arxiv.org/abs/2403.06785
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 geometry that does not allow standard homogenization techniques to be a
Externí odkaz:
http://arxiv.org/abs/2110.03256
In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikeli\'c and Wright), the notion of stochastic unfolding (recently introduced by the authors), and the quenched notion of stochastic two-scale converge
Externí odkaz:
http://arxiv.org/abs/2105.12447
Autor:
Heida, Martin
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 ergodic. Such extension and trace operators are important for compactness i
Externí odkaz:
http://arxiv.org/abs/2105.10945
We introduce a family of various finite volume discretization schemes for the Fokker--Planck operator, which are characterized by different weight functions on the edges. This family particularly includes the well-established Scharfetter--Gummel disc
Externí odkaz:
http://arxiv.org/abs/2002.09385
Autor:
Heida, Martin
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 ergodic. Such extension and trace operators are important for compactness
Externí odkaz:
http://arxiv.org/abs/2001.10373
We provide a derivation of several classes of boundary conditions for fluids of Korteweg-type using a simple and transparent thermodynamic approach that automatically guarentees that the derived boundary conditions are compatible with the second law
Externí odkaz:
http://arxiv.org/abs/1906.03463
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionary gradient systems driven by a quadratic dissipation potential and a $\Lambda$-convex energy functional featuring random and rapidly oscillating coeff
Externí odkaz:
http://arxiv.org/abs/1905.02562