位于障碍物上方的静态扁壳的数值方法。
Numerical methods for static shallow shells lying over an obstacle.
作者信息
Piersanti Paolo, Shen Xiaoqin
机构信息
Institute of Mathematics and Scientific Computing, Karl-Franzens-Universität Graz, Heinrichstraße 36, A8010 Graz, Austria.
Department of Mathematics, School of Sciences, Xi'an University of Technology, P.O. Box 1243, Yanxiang Road No. 58, Xi'an, 710054 Shaanxi Province China.
出版信息
Numer Algorithms. 2020;85(2):623-652. doi: 10.1007/s11075-019-00830-7. Epub 2020 Jan 10.
In this paper, a finite element analysis to approximate the solution of an obstacle problem for a static shallow shell confined in a half space is presented. To begin with, we establish, by relying on the properties of enriching operators, an estimate for the approximate bilinear form associated with the problem under consideration. Then, we conduct an error analysis and we prove the convergence of the proposed numerical scheme.
本文给出了一种有限元分析方法，用于逼近半空间中静态扁壳障碍问题的解。首先，我们依据富集算子的性质，建立了与所考虑问题相关的近似双线性形式的估计。然后，我们进行误差分析，并证明所提出数值格式的收敛性。
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