A locking-free stabilized mixed finite element method for linear elasticity: the high order case

作者：Zhang, Bei; Zhao, Jikun^*; Chen, Shaochun; Yang, Yongqin

来源：Calcolo, 2018, 55(1): 12.

DOI：10.1007/s10092-018-0255-6

• Elasticity
• Stabilized mixed finite element method
• Locking-free method
• Inf-sup condition

In this paper, we propose a locking-free stabilized mixed finite element method for the linear elasticity problem, which employs a jump penalty term for the displacement approximation. The continuous piecewise k-order polynomial space is used for the stress and the discontinuous piecewise (k-1)-order polynomial space for the displacement, where we require that k >= 3 in the two dimensions and k >= 4 in the three dimensions. The method is proved to be stable and k-order convergent for the stress in H(div)-norm and for the displacement in L-2-norm. Further, the convergence does not deteriorate in the nearly incompressible or incompressible case. Finally, the numerical results are presented to illustrate the optimal convergence of the stabilized mixed method

• 出版日期2018-3
• 单位郑州大学