Corrector estimates for a class of imperfect transmission problems
- Reichelt, Sina
2010 Mathematics Subject Classification
- 35B10 35B27 35B40 35D30 35J25
- Homogenization, corrector results, error estimates, periodic unfolding, two-component domain, periodic interface, imperfect transmission
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.
- Asymptot. Anal., 105 (2017), pp. 3--26, DOI 10.3233/ASY-171432 .