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).