Analysis of a least squares finite element method for the circular arch problem

研究成果: 雜誌貢獻期刊論文同行評審

7 引文 斯高帕斯(Scopus)

摘要

The stability and convergence of a least squares finite element method for the circular arch problem with shear deformation in a first-order system formulation are investigated. It is shown that the least squares finite element approximations are stable and convergent in a natural energy norm associated with the least squares functional. For the shallow arch case, the optimal order of convergence in the H1-norm for all the unknowns can be achieved uniformly with respect to the small thickness parameter, and thus the locking phenomenon does not occur in this case. A simple and sharp a posteriori error estimator is also addressed.

原文???core.languages.en_GB???
頁(從 - 到)263-278
頁數16
期刊Applied Mathematics and Computation
114
發行號2-3
DOIs
出版狀態已出版 - 11 9月 2000

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