A least-squares finite element method for incompressible flow in stress-velocity-pressure version

C. L. Chang, S. Y. Yang, C. H. Hsu

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

In this paper we are concerned with the incompressible flow in 2-D. Introducing additional variables of derivatives of velocity, which are called stresses here, the second-order dynamic equations are reduced into a first-order system with variables of stress, velocity and pressure. Combining the compatability conditions: and the divergence ice condition, we have a system with six first-order equations and six unknowns. Least-squares method performed over this extended system. The analysis shows that this method achieves optimal rates of convergence in the H1-norm as the h approaches to zero. Numerical experiences are also available.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalComputer Methods in Applied Mechanics and Engineering
Volume128
Issue number1-2
DOIs
StatePublished - 1 Dec 1995

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