A discourse on the stability conditions for mixed finite element formulations
Computer Methods in Applied Mechanics and Engineering
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
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An a priori lower bound estimate of the Babuska-Brezzi (BB) inf-sup discrete stability constant is given for general linear Petrov-Galerkin formulations. The estimate is based on reasonable assumptions regarding a specific auxiliary adjoint problem. The similarities and discsrepancies of the presented method, compared to the well known Fortin's criterion, are also noted. The estimate may be used to obtain numerical verification of the BB condition, under the assumption that the finite element basis functions are almost orthogonal.