• Medientyp: E-Book; Bericht; Sonstige Veröffentlichung
  • Titel: Corrector estimates for a class of imperfect transmission problems
  • Beteiligte: Reichelt, Sina [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2016
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2354
  • Schlagwörter: 35B27 ; Homogenization -- corrector results -- error estimates -- periodic unfolding -- two-component domain -- periodic interface -- imperfect transmission ; 35D30 ; 35B40 ; 35B10 ; article ; 35J25
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  • Beschreibung: Based on previous homogenization results for imperfect transmission problems in two-component domains with periodic microstructure, we derive quantitative estimates for the difference between the microscopic and macroscopic solution. This difference is of order ερ, where ε > 0 describes the periodicity of the microstructure and ρ ∈ (0 , ½] depends on the transmission condition at the interface between the two components. The corrector estimates are proved without assuming additional regularity for the local correctors using the periodic unfolding method.