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

A uniform inf-sup condition related to a parameter dependent Stokes problemis established. Such conditions are intimately connected to the construction ofuniform preconditioners for the problem, i.e., preconditioners which behaveuniformly well with respect to variations in the model parameter as well as thediscretization parameter. For the present model, similar results have beenderived before, but only by utilizing extra regularity ensured by convexity ofthe domain. The purpose of this paper is to remove this artificial assumption.As a byproduct of our analysis, in the two dimensional case we also construct anew projection operator for the Taylor-Hood element which is uniformly boundedin $L^2$ and commutes with the divergence operator. This construction is basedon a tight connection between a subspace of the Taylor-Hood velocity space andthe lowest order Nedelec edge element.

A uniform inf--sup condition with applications to preconditioning