The stabilized mixed finite element scheme of elasticity problem

In this paper, we consider a new mixed finite element scheme of the elasticity problem in two and three dimensions, and the new scheme can impose Neumann boundary condition directly. A new stabilized method is proposed for this scheme, in which the equal order linear element pair is employed to approximate the stress and displacement, and an abstract operator is used to characterize the lack of the inf-sup condition. The new stabilized method is locking free. Numerical results show the excellent stability and accuracy of the new method.

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