Least-squares finite element approximations to the Timoshenko beam problem

Jang Jou, Suh Yuh Yang

研究成果: 雜誌貢獻期刊論文同行評審

11 引文 斯高帕斯(Scopus)

摘要

In this paper a least-squares finite element method for the Timoshenko beam problem is proposed and analyzed. The method is shown to be convergent and stable without requiring extra smoothness of the exact solutions. For sufficiently regular exact solutions, the method achieves optimal order of convergence in the H1-norm for all the unknowns (displacement, rotation, shear, moment), uniformly in the small parameter which is generally proportional to the ratio of thickness to length. Thus the locking phenomenon disappears as the parameter tends to zero. A sharp a posteriori error estimator which is exact in the energy norm and equivalent in the H1-norm is also briefly discussed.

原文???core.languages.en_GB???
頁(從 - 到)63-75
頁數13
期刊Applied Mathematics and Computation
115
發行號1
DOIs
出版狀態已出版 - 6 10月 2000

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