TY - JOUR T1 - A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model AU - Liu , Haochen AU - Huang , Pengzhan AU - He , Yinnian JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 557 EP - 576 PY - 2023 DA - 2023/05 SN - 20 DO - http://doi.org/10.4208/ijnam2023-1024 UR - https://global-sci.org/intro/article_detail/ijnam/21716.html KW - Closed-loop geothermal model, penalty finite element method, error estimate, numerical test. AB -

In this article, we give a penalty finite element method for the steady-state closed-loop geothermal model. Firstly, we construct the stationary penalty closed-loop geothermal equations. Secondly, we propose a finite element method for the penalty system and deduce error estimates. Finally, some numerical experiments are used to illustrate the theoretical results of the presented method.