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• W3048370052 abstract "In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation of the problem is written as a linear system of coupled first-order variational equations. Then, fully discrete approximations are introduced by using the classical finite-element method and the implicit Euler scheme. A discrete stability property and an a priori error estimates result are proved, from which the linear convergence of the algorithm is derived under suitable additional regularity conditions. Finally, some one- and two-dimensional numerical simulations are presented to show the accuracy of the approximation and the behavior of the solution." @default.
• W3048370052 created "2020-08-18" @default.
• W3048370052 creator A5001699360 @default.
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• W3048370052 date "2020-08-11" @default.
• W3048370052 modified "2023-10-02" @default.
• W3048370052 title "Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures" @default.
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• W3048370052 doi "https://doi.org/10.1007/s40314-020-01248-x" @default.
• W3048370052 hasPublicationYear "2020" @default.
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