On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner’s variational principle. (English) Zbl 0597.73072

In this paper the conditions for existence, uniqueness and stability of mixed-hybrid finite element solutions based on discontinuous fields are focused. The reduction of the global conditions to element level and the conditions on the ranks of element matrices are discussed. A four-node square planar element and an eight-none cubic element are connected in detail.
Reviewer: N.F.F.Ebecken


74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N99 Numerical methods for partial differential equations, boundary value problems
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