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Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems

✍ Scribed by Badia, Santiago; Codina, Ramon

Book ID
118182609
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
342 KB
Volume
47
Category
Article
ISSN
0036-1429

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πŸ“œ SIMILAR VOLUMES

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A stabilized mixed finite element method for solving the coupled Stokes and Darcy flows problem is formulated and analyzed. The approach utilizes the same nonconforming Crouzeix-Raviart element discretization on the entire domain. A discrete inf-sup condition and an optimal a priori error estimate a

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This paper proposes and analyzes a numerical method for solving the coupled Stokes and Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a flow in a porous medium, governed by Darcy equations. The method employs H(div) conforming finite elements for the velocity