论文标题
分析弱对称混合有限元素的弹性
Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity
论文作者
论文摘要
我们考虑了用于线性弹性的混合有限元方法,其中应力张量的对称性弱执行。对于在不可压缩极限中均匀有效的几个已知方法族提供了先验和后验错误分析。对于可压缩和不可压缩病例,得出了后验估计值。结果通过数值示例验证。
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.