TY - JOUR
T1 - The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem
AU - Zhang , Jing
AU - Rui , Hongxing
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 792
EP - 819
PY - 2023
DA - 2023/08
SN - 16
DO - http://doi.org/10.4208/nmtma.OA-2022-0143
UR - https://global-sci.org/intro/article_detail/nmtma/21967.html
KW - Quasi-static thermo-poroelasticity, characteristics finite element method, porous media, numerical experiments.
AB - <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>