@Article{NMTMA-16-3,
author = {Zhang, Jing and Rui, Hongxing},
title = {The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2023},
volume = {16},
number = {3},
pages = {792--819},
abstract = {<p style="text-align: justify;">In this work, we consider a combined finite element method for fully coupled nonlinear thermo-poroelastic model problems. The mixed finite element (MFE)
method is used for the pressure, the characteristics finite element (CFE) method is
used for the temperature, and the Galerkin finite element (GFE) method is used for
the elastic displacement. The semi-discrete and fully discrete finite element schemes
are established and the stability of this method is presented. We derive error estimates for the pressure, temperature and displacement. Several numerical examples
are presented to confirm the accuracy of the method.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2022-0143},
url = {https://global-sci.com/article/90228/the-mfe-cfe-gfe-method-for-the-fully-coupled-quasi-static-thermo-poroelastic-problem}
}