含二次声的膨胀多孔热弹性介质的数值研究

Q3 Mathematics
A. Smouk, A. Radid, A. Soufyane
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引用次数: 0

摘要

在这项工作中,我们在数值上考虑具有麦克斯韦-卡塔内奥定律给出的热流的膨胀多孔热弹性系统。我们研究了热弹性问题的数值能量和指数衰减。首先,我们给出了一个由四个一阶变分方程组成的耦合线性系统的变换导数的变分公式。引入了一种全离散算法,并证明了其离散稳定性。还提供了先验误差估计。最后给出了一些数值结果来证明解的性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A numerical study of swelling porous thermoelastic media with second sound
In this work, we numerically consider a swelling porous thermoelastic system with a heat flux given by the Maxwell–Cattaneo law. We study the numerical energy and the exponential decay of the thermoelastic problem. First, we give a variational formulation written in terms of the transformed derivatives corresponding to a coupled linear system composed of four first-order variational equations. A fully discrete algorithm is introduced and a discrete stability property is proven. A priori error estimates are also provided. Finally, some numerical results are given to demonstrate the behavior of the solution.
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来源期刊
Mathematical Modeling and Computing
Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics
CiteScore
1.60
自引率
0.00%
发文量
54
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