A dual-phase-lag porous-thermoelastic problem with microtemperatures

In this work, we consider a multi-dimensional dual-phase-lag problem arising in porousthermoelasticity with microtemperatures. An existence and uniqueness result is proved by applying the semigroup of linear operators theory. Then, by using the finite element method and the Euler scheme, a fully discrete approximation is numerically studied, proving a discrete stability property and a priori error estimates. Finally, we perform some numerical simulations to demonstrate the accuracy of the approximation and the behavior of the solution in one-and two-dimensional problems.

Automated summary

This paper investigates the application of multi-dimensional dual-phase-lag problem in porous thermoelasticity with microtemperatures. The existence and uniqueness results are proved using the theory of semigroup of linear operators. The numerical study using finite element method and Euler scheme provides a fully discrete approximation, with demonstrated discrete stability property and a priori error estimates. Numerical simulations are performed to validate the accuracy of the approximation and the behavior of the solution in one- and two-dimensional problems.