• Media type: Text; E-Book; Report
  • Title: Corrector estimates for a class of imperfect transmission problems
  • Contributor: Reichelt, Sina [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/2196
  • ISSN: 0946-8633; 2198-5855
  • Keywords: Homogenization ; periodic unfolding ; periodic interface ; imperfect transmission ; two-component domain ; corrector results ; error estimates
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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 , where > 0 describes the periodicity of the microstructure and 2 (0; 1/2 ] 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.
  • Access State: Open Access