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：本文考虑线性弹性问题中通过弱强制应力张量对称性的混合有限元方法。针对几类已知方法族，我们给出了在不可压极限下一致有效的先验误差分析与后验误差分析。分别推导了可压与不可压情形下的后验估计，并通过数值算例验证了理论结果。