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arXiv · 2502.10770

A coupled HDG/DG method for porous media with conducting/sealing faults

Aycil Cesmelioglu·Miroslav Kuchta·Jeonghun J. Lee·Sander Rhebergen
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Abstract

We introduce and analyze a coupled hybridizable discontinuous Galerkin/discontinuous Galerkin (HDG/DG) method for porous media in which we allow fully and partly immersed faults, and faults that separate the domain into two disjoint subdomains. We prove well-posedness and present an a priori error analysis of the discretization. Numerical examples verify our analysis.

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Aycil Cesmelioglu, Miroslav Kuchta, Jeonghun J. Lee, Sander Rhebergen. 2025-02-15. A coupled HDG/DG method for porous media with conducting/sealing faults. https://arxiv.org/abs/2502.10770

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