全耦合准静态热孔弹性问题的MFE-CFE-GFE方法

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-06-01 DOI:10.4208/nmtma.oa-2022-0143

Jing Rui

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引用次数: 0

摘要

．在这项工作中，我们考虑了一种全耦合非线性热-孔弹性模型问题的组合有限元方法。压力计算采用混合有限元法(MFE)，温度计算采用特征有限元法(CFE)，弹性位移计算采用伽辽金有限元法(GFE)。建立了半离散和全离散有限元格式，并证明了该方法的稳定性。我们得到了压力、温度和位移的误差估计。算例验证了该方法的准确性。

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The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem

. In this work, we consider a combined ﬁnite element method for fully coupled nonlinear thermo-poroelastic model problems. The mixed ﬁnite element (MFE) method is used for the pressure, the characteristics ﬁnite element (CFE) method is used for the temperature, and the Galerkin ﬁnite element (GFE) method is used for the elastic displacement. The semi-discrete and fully discrete ﬁnite element schemes are established and the stability of this method is presented. We derive error estimates for the pressure, temperature and displacement. Several numerical examples are presented to conﬁrm the accuracy of the method.

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来源期刊

Numerical Mathematics-Theory Methods and Applications 数学-数学

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Numerical Mathematics: Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction, analysis and application of numerical methods for solving scientific and engineering problems. Important research and expository papers devoted to the numerical solution of mathematical equations arising in all areas of science and technology are expected. The journal originates from the journal Numerical Mathematics: A Journal of Chinese Universities (English Edition). NM-TMA is a refereed international journal sponsored by Nanjing University and the Ministry of Education of China. As an international journal, NM-TMA is published in a timely fashion in printed and electronic forms.