Boit固结模型的Crouzeix-Raviart非协调和节点协调有限元空间的耦合方法

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Computational Mathematics Pub Date : 2023-05-01 DOI:10.4208/jcm.2212-m2021-0231

Yuping Zeng, M. Zhong

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引用次数: 0

摘要

提出了一种求解孔隙弹性中Biot固结问题的混合有限元方法。更准确地说，位移是通过使用Crouzeix-Raviart非协调有限元来近似的，而流体压力是通过使用节点协调有限元近似的。建立了完全离散格式的适定性，并导出了相应的能量范数中最优阶的先验误差估计。数值实验验证了理论结果。数学

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A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Boit Consolidation Model

A mixed ﬁnite element method is presented for the Biot consolidation problem in poroe-lasticity. More precisely, the displacement is approximated by using the Crouzeix-Raviart nonconforming ﬁnite elements, while the ﬂuid pressure is approximated by using the node conforming ﬁnite elements. The well-posedness of the fully discrete scheme is established, and a corresponding priori error estimate with optimal order in the energy norm is also derived. Numerical experiments are provided to validate the theoretical results. Mathematics

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来源期刊

Journal of Computational Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

1130

审稿时长

2 months

期刊介绍： Journal of Computational Mathematics (JCM) is an international scientific computing journal founded by Professor Feng Kang in 1983, which is the first Chinese computational mathematics journal published in English. JCM covers all branches of modern computational mathematics such as numerical linear algebra, numerical optimization, computational geometry, numerical PDEs, and inverse problems. JCM has been sponsored by the Institute of Computational Mathematics of the Chinese Academy of Sciences.