摘要

In this paper, we consider the elasticity problem based on the Hellinger-Reissner variational principle. We use the continuous arbitrary degree polynomial mixed finite element spaces to approximate the stress and displacement, and develop a new stabilization method for the finite element space pairs to overcome the lack of the inf-sup condition, then we give the corresponding error estimates of the stabilization approximation scheme. At last, we implement a numerical example to test the stability and effectiveness of the proposed method.

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