A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model

A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model

Year:    2023

Author:    Haochen Liu, Pengzhan Huang, Yinnian He

International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 4 : pp. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ijnam2023-1024

International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 4 : pp. 557–576

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

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

Author Details

Haochen Liu

Pengzhan Huang

Yinnian He