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 present a new stabilization technique for multiscale convection diffusionproblems. Stabilization for these problems has been a challenging task,especially for the case with high Peclet numbers. Our method is based on aconstraint energy minimization idea and the discontinuous Petrov-Galerkinformulation. In particular, the test functions are constructed by minimizing anappropriate energy subject to certain orthogonality conditions, and are relatedto the trial space. The resulting test functions have a localization property,and can therefore be computed locally. We will prove the stability, and presentseveral numerical results. Our numerical results confirm that our test spacegives a good stability, in the sense that the solution error is close to thebest approximation error.

Multiscale stabilization for convection diffusion equations with heterogeneous velocity and diffusion coefficients