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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variationalmultiscale modeling with discretely divergence-free subscales", Computers &Mathematics with Applications, 80 (2020) 2517-2537] introduced a novelstabilized finite element method for the incompressible Navier-Stokesequations, which combined residual-based stabilization of advection, energeticstability, and satisfaction of a discrete incompressibility condition. However,the convergence analysis and numerical tests of the cited work were subject tothe restrictive assumption of a divergence-conforming choice of velocity andpressure spaces, where the pressure space must contain the divergence of everyvelocity function. The present work extends the convergence analysis toarbitrary inf-sup-stable velocity-pressure pairs (while maintaining robustnessin the advection-dominated regime) and demonstrates the convergence of themethod numerically, using both the traditional and isogeometric Taylor-Hoodelements.

Variational multiscale modeling with discretely divergence-free subscales: Non-divergence-conforming discretizations