Numerical Analysis of a Swelling Poro-Thermoelastic Problem with Second Sound

نویسندگان

چکیده

In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using simplest Maxwell–Cattaneo law. This problem leads to coupled system which written displacements fluid solid, temperature heat flux. analysis performed applying classical finite element method with linear elements for spatial approximation backward Euler scheme discretization time derivatives. Then, prove stability discrete solutions provide an priori error analysis. Finally, some simulations are demonstrate accuracy approximations, exponential decay energy dependence on coupling parameter.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11061456