Abstract
In this work, we propose a numerical finite element discretization with strong mass conservation for the coupled Stokes and dual-porosity model. Based on divergence conforming finite element spaces and piecewise discontinuous finite element spaces, this strongly conservative discretization is constructed by utilizing the symmetric interior penalty Galerkin method and mixed finite element method to discrete the governing equations of Stokes region and dual-porosity domain, respectively. In light of a discrete inf-sup condition, we present the well-posedness of discrete scheme and prove priori error estimates. After using uniformly matching meshes and the lower order finite element spaces of velocity and pressure, some numerical examples are given to validate the analysis of convergence and strong mass conservation. Further, these numerical results support our findings and illustrate the applicability of the coupled Stokes-dual-porosity model. (C) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier