A coupled HDG/DG method for porous media with conducting/sealing faults
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913692274130944 |
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| author | Cesmelioglu, Aycil Kuchta, Miroslav Lee, Jeonghun J. Rhebergen, Sander |
| author_facet | Cesmelioglu, Aycil Kuchta, Miroslav Lee, Jeonghun J. Rhebergen, Sander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A coupled HDG/DG method for porous media with conducting/sealing faults Cesmelioglu, Aycil Kuchta, Miroslav Lee, Jeonghun J. Rhebergen, Sander Numerical Analysis 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. |
| title | A coupled HDG/DG method for porous media with conducting/sealing faults |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2502.10770 |