TY - GEN A1 - Peterseim, Daniel T1 - Robustness of Finite Element Simulations in Densely Packed Random Particle Composites N2 - This paper presents some weighted H2-regularity estimates for a model Poisson problem with discontinuous coefficient at high contrast. The coefficient represents a random particle reinforced composite material, i.e., highly conducting circular particles are randomly distributed in some background material with low conductivity. Based on these regularity results we study the percolation of thermal conductivity of the material as the volume fraction of the particles is close to the jammed state. We proof that the characteristic percolation behavior of the material is well captured by standard conforming finite element models. KW - perforated domain KW - thickness of a domain KW - finite element method KW - high contrast KW - percolation KW - phase transition Y1 - 2011 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/869 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-8691 ER -