Low‐order macroelements for two‐ and three‐dimensional Stokes flow

K. Nafa, R. W. Thatcher*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The use of low‐order elements for approximating fluid flow is attractive because all the elemental contributions can be quickly and easily obtained. One of the drawbacks is that low‐order elements often give rise to spurious pressure modes or incompatible velocity and pressure approximations. In this paper linear velocity and linear pressure elements are described for both two‐ and three‐dimensional flow that always produce stable solutions provided the elements are assembled into simple macroelements following easily used rules. Some examples of this idea are given for Stokes flow and compared with another popular low‐order method. © 1993 John Wiley & Sons, Inc.

Original languageEnglish
Pages (from-to)579-591
Number of pages13
JournalNumerical Methods for Partial Differential Equations
Issue number5
Publication statusPublished - Sept 1993
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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