WIAS Preprint No. 2354, (2016)
Corrector estimates for a class of imperfect transmission problems
Authors
- Reichelt, Sina
2010 Mathematics Subject Classification
- 35B10 35B27 35B40 35D30 35J25
Keywords
- Homogenization, corrector results, error estimates, periodic unfolding, two-component domain, periodic interface, imperfect transmission
DOI
Abstract
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.
Appeared in
- Asymptot. Anal., 105 (2017), pp. 3--26, DOI 10.3233/ASY-171432 .
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