[PDF][PDF] Fully Discrete Approximations and an Error Analysis of a Two–Temperature Thermo–Elastic Model with Microtemperatures

J Baldonedo, JR Fernández… - International Journal of …, 2024 - intapi.sciendo.com
In this paper, we consider, from a numerical point of view, a two-temperature poro-
thermoelastic problem. The model is written as a coupled linear system of hyperbolic and …

A Splitting Method for the Allen-Cahn/Cahn-Hilliard System Coupled with Heat Equation Based on Maxwell-Cattaneo Law

N El Khatib, A Makki, M Petcu - Applied Mathematics & Optimization, 2023 - Springer
We analyze here a finite element space semidiscretization of the Allen-Cahn/Cahn-Hilliard
system coupled with heat equation and based on the Maxwell-Cattaneo law. We prove that …

On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell–Cattaneo law with two temperatures

A Makki, A Miranville, G Sadaka - Applied Mathematics & Optimization, 2021 - Springer
Our aim in this article is to study generalizations of the conserved Caginalp phase-field
system based on the Maxwell-Cattaneo law with two temperatures for heat conduction and …