Zeit: | 25. April 2019, 16:00 Uhr |
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Referent*in: | Ivan Yotov (University of Pittsburgh, USA |
Veranstaltungsort: | Uni Stuttgart Pfaffenwaldring 61, MML U1.003 |
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We study mathematical models and their finite element approximations for solving the coupled problem arising in the interaction between fluid in a poroelastic material and fluid in a fracture. The fluid flow in the fracture is governed by the Stokes/Brinkman equations, while the poroelastic material is modeled using the Biot system. We present several approaches to impose the continuity of normal flux, including an interior penalty method and a Lagrange multiplier method. A dimensionally reduced fracture model based on averaging the equations over the cross-sections will also be presented. Stability, accuracy, and robustness of the methods will be discussed.