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Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media

Abstract : Lowest-order Raviart–Thomas and Brezzi–Douglas–Marini mixed methods are considered for groundwater flow simulations. Typically, mixed methods lead to a saddle-point problem, which is expensive to solve. Two approaches are numerically compared here to allow an explicit velocity elimination: (1) the well-known hybrid formulation leading to a symmetric positive definite system where the only unknowns are the Lagrange multipliers and (2) a more recent approach, inspired from the multipoint flux approximation method, reducing low-order mixed methods to cell-centered finite difference schemes. Selected groundwater flow scenarios are used for the comparison between hybrid and multipoint approaches. The simulations are performed in the bidimensional case with a general triangular discretization because of its practical interest for hydrogeologists.
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https://hal-insu.archives-ouvertes.fr/insu-00578745
Contributor : Danièle Aunis <>
Submitted on : Tuesday, March 22, 2011 - 9:43:49 AM
Last modification on : Tuesday, April 7, 2020 - 1:44:02 PM

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V. Fontaine, A. Younes. Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media. Computational Geosciences, Springer Verlag, 2010, 14 (1), pp.171-181. ⟨10.1007/s10596-009-9141-2⟩. ⟨insu-00578745⟩

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