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On the mixed finite element method with Lagrange multipliers. (English) Zbl 1021.65056
The authors extend the analysis of the standard finite element method with Lagrange multipliers to the case of dual-mixed variational formulations. As a model they consider the Poisson problem with mixed boundary conditions in a polygonal domain. Numerical results are provided for illustrating the performance of the algorithm.

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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