Year: 2024
Author: Lin Yang, Wei Mu, Hui Peng, Xiuli Wang
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 4 : pp. 587–608
Abstract
In this paper, we introduce a weak Galerkin finite element method for the dual-porosity-Stokes model. The dual-porosity-Stokes model couples the dual-porosity equations with the Stokes equations through four interface conditions. In this method, we define several weak Galerkin finite element spaces and weak differential operators. We provide the weak Galerkin scheme for the model, and establish the well-posedness of the numerical scheme. The optimal convergence orders of errors in the energy norm are derived. Finally, we verify the effectiveness of the numerical method with different weak Galerkin elements on different meshes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2024-1023
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 4 : pp. 587–608
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Dual-porosity-Stokes model weak Galerkin finite element method discrete weak gradient discrete weak divergence.