A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem
Numerical Analysis
2023-08-30 v1 Numerical Analysis
Abstract
We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow in macrofractures/conduits, governed by the Stokes equations, and flow in microfractures/matrix, governed by a dual-porosity model. We prove that the HDG method is strongly conservative, well-posed, and give an a priori error analysis showing dependence on the problem parameters. Our theoretical findings are corroborated by numerical examples
Keywords
Cite
@article{arxiv.2308.14933,
title = {A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem},
author = {Aycil Cesmelioglu and Jeonghun J. Lee and Sander Rhebergen and Dorisa Tabaku},
journal= {arXiv preprint arXiv:2308.14933},
year = {2023}
}