A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow | Zendy

Xindong Li | Zendy; Hongxing Rui | Zendy

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A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow

Author(s) -

Xindong Li,

Hongxing Rui

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/580461

Subject(s) - mathematics , finite element method , mathematical analysis , matrix (chemical analysis) , flow (mathematics) , darcy's law , path (computing) , geometry , porosity , porous medium , physics , materials science , composite material , thermodynamics , computer science , programming language

We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the error estimates are obtained for both the velocity and the pressure. Numerical examples are presented to confirm the theoretical analysis

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