Hybrid equilibrium hexahedral elements and super-elements. (English) Zbl 1132.74043

Summary: Equilibrated solutions, locally satisfying all the equilibrium conditions, may be obtained by using a special case of the hybrid finite element formulation. Unlike simplicial super-elements in two and three dimensions, which are free from spurious kinematic modes, and the quadrilateral super-element with diagonal subdivision, which has exactly one internal spurious kinematic mode, no hexahedral super-element free of external spurious kinematic modes is yet known as far as the author is aware.


74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
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