A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow. (English) Zbl 1067.74578

Summary: We introduce a new triangular element for nearly incompressible elasticity and incompressible fluid flow. The method consists of conforming linear elements for one of the displacement (or velocity for flows) components and linear nonconforming elements for ther component. The element is proved to give an optimal approximation, and this is also confirmed by several numerical examples.


74S05 Finite element methods applied to problems in solid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
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