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Finite Volume Box Schemes and Mixed Methods

Jean-Pierre Croisille — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We present the numerical analysis on the Poisson problem of two mixed Petrov-Galerkin finite volume schemes for equations in divergence form div ϕ ( u , u ) = f . The first scheme, which has been introduced in [CITE], is a generalization in two dimensions of Keller's box-scheme. The second scheme is the dual of the first one, and is a cell-centered scheme for and the flux . For the first scheme, the two trial finite element spaces are the nonconforming space of Crouzeix-Raviart for the primal unknown and...

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