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

Lederer, Philip L., Stenberg, Rolf

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.

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