Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach
This article applies the ``unfolding method'' of \textit{D. Cioranescu} et al. [C. R., Math., Acad. Sci. Paris 335, No. 1, 99--104 (2002; Zbl 1001.49016)], and [SIAM J. Math. Anal. 40, No. 4, 1585--1620 (2008; Zbl 1167.49013)] to periodically homogenize the scalar diffusion equation with oscillating data when it is set in a bounded domain perforated by inclusions where the total flux is imposed. Making use of previous results and [\textit{D. Cioranescu} et al., SIAM J. Math. Anal. 44, No. 2, 718--760 (2012; Zbl 1250.49017)], this approach allows one to derive a corrector result without regularity assumptions about the inclusions surfaces.
boundary value problem with assigned total flux
scientific article; zbMATH DE number 6168085
scientific article