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New decomposition of shape functions spaces of mixed finite element methods. (English) Zbl 0854.65097
Summary: A new decomposition of the shape functions spaces involved in the mixed finite element method is introduced. This decomposition is particularly well suited to handling the local equilibrium condition. Associated with the dual mixed hybrid formulation, this property reduces the mixed formulation of second-order elliptic boundary value problems in divergence form to a generalized nonconforming finite element method with only the interface multipliers as unknowns.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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