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Volume 20, Issue 4
A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model

Haochen Liu, Pengzhan Huang & Yinnian He

DOI: 10.4208/ijnam2023-1024

Int. J. Numer. Anal. Mod., 20 (2023), pp. 557-576.

Published online: 2023-05

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  • Abstract

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.

  • Keywords

Closed-loop geothermal model, penalty finite element method, error estimate, numerical test.

  • AMS Subject Headings

65N30, 76M10, 76N10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-20-557, author = {Liu , HaochenHuang , Pengzhan and He , Yinnian}, title = {A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model }, journal = {International Journal of Numerical Analysis and Modeling}, year = {2023}, volume = {20}, number = {4}, pages = {557--576}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2023-1024}, url = {http://global-sci.org/intro/article_detail/ijnam/21716.html} }
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.

Liu , HaochenHuang , Pengzhan and He , Yinnian. (2023). A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model . International Journal of Numerical Analysis and Modeling. 20 (4). 557-576. doi:10.4208/ijnam2023-1024
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