Abstract
We consider the wave equation on an unbounded domain
for highly oscillatory coefficients
with the scaling
. We consider settings in which the homogenization process for this equation is well understood, which means that
holds for the solution
of the homogenized problem
. In this context, domain truncation methods are studied. The goal is to calculate an approximate solution
on a subdomain, say
. We are ready to solve the ε-problem on
, but we want to solve only homogenized problems on the unbounded domains
or
. The main task is to define transmission conditions at the interface to have small differences
. We present different methods and corresponding
error estimates.
Disclosure statement
No potential conflict of interest was reported by the author(s).