Author's: Jie Zhao and Juan Wang
Pages: [97] - [116]
Received Date: November 12, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121886
In this paper, we study the asymptotic behaviour of solutions for
homogenization problems of partial differential equation with a very
rapidly oscillating locally periodic boundary. As a consequence, we
show that converges to
in the
and the error is
or
where
and
are solutions of oscillating and homogenized
boundary problems, respectively. Our method is based on correctors
that can be used to obtain effective approximation.
homogenization, error estimate, oscillating boundary.