Abstract
We study from a numerical point of view the solution of the system of partial differential equations arising in the theory of isotropic dipolar thermoelasticity with double porosity. We write the variational formulation and introduce fully discrete approximations by using the finite element method to approximate the spatial variable and the backward Euler scheme to discretize the first-order time derivatives. By using these algorithms, we perform numerical simulations in order to show the behaviour of the solution. To this end, we use the finite element software FreeFem++.
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Chirilă, A., Marin, M. (2021). Numerical Algorithms in Mechanics of Generalized Continua. In: Hošková-Mayerová, Š., Flaut, C., Maturo, F. (eds) Algorithms as a Basis of Modern Applied Mathematics. Studies in Fuzziness and Soft Computing, vol 404. Springer, Cham. https://doi.org/10.1007/978-3-030-61334-1_9
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DOI: https://doi.org/10.1007/978-3-030-61334-1_9
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