A coupled HDG/DG method for porous media with conducting/sealing faults
Aycil Cesmelioglu, Miroslav Kuchta, Jeonghun J. Lee, Sander, Rhebergen
TL;DR
This paper presents a novel coupled HDG/DG numerical method for modeling porous media with complex faults, providing theoretical analysis and numerical validation for the approach.
Contribution
The paper introduces a new coupled HDG/DG method capable of handling fully and partly immersed faults in porous media, with proven well-posedness and error estimates.
Findings
Numerical examples confirm the theoretical error analysis.
The method effectively models faults that separate the domain.
The approach is versatile for complex fault configurations.
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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Taxonomy
TopicsVibration and Dynamic Analysis · Advanced Surface Polishing Techniques · High voltage insulation and dielectric phenomena