位移障碍下一个四阶变分不等式的双参数有限元逼近

摘要

Unconventional double set parameter finite element approximation for a fourth order variational inequality with displacement obstacle is considered. Through introducing some new techniques, the optimal estimate order O(h) is obtained which is the same as that of the conventional finite elements. Our results are valid for almost known nonconforming plate finite elements.%研究位移障碍下的一个四阶变分不等式的非常规双参数有限元逼近.通过引入与常规单元不同的新技巧,得到了与常规有限元相同最优误差估计.这里的结论对几乎所有已知的非协调板元均适用.