弹性问题的一个稳定化组合杂交有限元法分析

Analysis of A Stabilized Hybrid Finite Element Method for Elasticity Problem

就弹性问题给出了一个稳定化组合杂交有限元方法,结合稳定化有限元法思想对组合杂交方法进行改进,增加了一个边界稳定项,既避免了inf-sup条件,又去掉"能量相容"条件的要求.理论分析表明该方法具有很好的稳定性与最优的误差估计.

As a development of the hybrid finite element method proposed by Zhou Tianxiao,a stabilized hybrid finite element method is presented for elasticity problem.The approach is based on the introduction of a jump of displacement on edges.The authors show that the resulting stabilized variational formulation is well posed,which avoids the inf-sup condition and the energy compatibility.The analysis shows that stability and optimal error bounds hold.