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Robustness of Finite Element Simulations in Densely Packed Random Particle Composites

Please always quote using this URN:urn:nbn:de:0296-matheon-8691
  • 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.

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Metadaten
Author:Daniel Peterseim
URN:urn:nbn:de:0296-matheon-8691
Referee:Carsten Carstensen
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/07/14
Release Date:2011/07/14
Tag:finite element method; high contrast; percolation; perforated domain; phase transition; thickness of a domain
Institute:Research Center Matheon
Humboldt-Universität zu Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Preprint Number:807
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