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arXiv · 2308.14933

A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem

Aycil Cesmelioglu·Jeonghun J. Lee·Sander Rhebergen·Dorisa Tabaku
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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

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Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen, Dorisa Tabaku. 2023-08-28. A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem. https://arxiv.org/abs/2308.14933

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