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

Xue, W.-M.; Karlovitz, L. A.; Atluri, S. N.

Int. J. Solids Struct. 21, 97-116 (1985).

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

MSC:

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

Keywords:

Reissner’s variational principle; existence; uniqueness; stability; mixed-hybrid finite element solutions; discontinuous fields; four-node square planar element; eight-none cubic element