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

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

研究成果: 雜誌貢獻期刊論文同行評審

33 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)1-9
頁數9
期刊Computer Methods in Applied Mechanics and Engineering
128
發行號1-2
DOIs
出版狀態已出版 - 1 12月 1995

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