A convergence theorem and asymptotic estimates as are proved for a solution to a mixed boundary-value problem for the Poisson equation in a junction , of a domain and a large number of -periodically situated thin cylinders with thickness of order . For this junction, we construct an extension operator and study its properties.
Cite this article
T.A. Mel'nyk, Homogenization of the Poisson Equation in a Thick Periodic Junction. Z. Anal. Anwend. 18 (1999), no. 4, pp. 953–975DOI 10.4171/ZAA/923