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 modified Chorin-Teman (Euler non-incremental) projection method and amodified Euler incremental projection method for non inf-sup stable mixedfinite elements are analyzed. The analysis of the classical Eulernon-incremental and Euler incremental methods are obtained as a particularcase. We first prove that the modified Euler non-incremental scheme has aninherent stabilization that allows the use of non inf-sup stable mixed finiteelements without any kind of extra added stabilization. We show that it is alsotrue in the case of the classical Chorin-Temam method. For the second scheme,we study a stabilization that allows the use of equal-order pairs of finiteelements. The relation of the methods with the so called pressure stabilizedPetrov Galerkin method (PSPG) is established. The influence of the choseninitial approximations in the computed approximations to the pressure isanalyzed. Numerical tests confirm the theoretical results.

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem