English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a diffusion equation with highly oscillatory coefficients thatadmits a homogenized limit. As an alternative to standard corrector problems,we introduce here an embedded corrector problem, written as a diffusionequation in the whole space in which the diffusion matrix is uniform outsidesome ball of radius $R$. Using that problem, we next introduce threeapproximations of the homogenized coefficients. These approximations, which arevariants of the standard approximations obtained using truncated (supercell)corrector problems, are shown to converge when $R \to \infty$. We also discussefficient numerical methods to solve the embedded corrector problem.

An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation