We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in the incompressible limit. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.

翻译：我们考虑对线性弹性采用混合的有限元素方法,在对应应应力强度的对称性执行不力的情况下,对若干已知的、在不可压缩限度内统一有效的方法组进行先验和后验错误分析,对可压缩和不可压缩的情况进行后验估计,结果通过数字实例加以验证。