Article Contents
Article Contents

# Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings

• In quasi-periodic homogenization of elliptic equations or nonlinear periodic homogenization of systems, the cell problem must be in general set on the whole space. Numerically computing the homogenization coefficient therefore implies a truncation error, due to the fact that the problem is approximated on a bounded, large domain. We present here an approach that improves the rate of convergence of this approximation.
Mathematics Subject Classification: 35B27, 35Q74, 34B15, 74Q05.

 Citation: