Meshing Strategies and the Impact of Finite Element Quality on the Velocity Field in Fractured Media

Abstract : For calculating flow in a fracture network, the mixed hybrid finite element (MHFE) method is a method of choice as it yields a symmetric, positive definite linear system. However, a drawback to this method is its sensitivity to bad aspect ratio elements. For poor-quality triangles, elementary matrices are ill-conditioned, and inconsistent velocity vectors are obtained by inverting these local matrices. Here we present different strategies for better reconstruction of the velocity field.
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https://hal.inria.fr/hal-01074807
Contributor : Jocelyne Erhel <>
Submitted on : Wednesday, October 15, 2014 - 3:00:34 PM
Last modification on : Monday, September 16, 2019 - 4:35:42 PM

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  • HAL Id : hal-01074807, version 1

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Géraldine Pichot, Patrick Laug, Jocelyne Erhel, Jean E. Roberts, Jérôme Jaffré, et al.. Meshing Strategies and the Impact of Finite Element Quality on the Velocity Field in Fractured Media. SIAM Annual Meeting, Jul 2014, Chicago, United States. ⟨hal-01074807⟩

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