荷载属于H^(-1)时双参数非协调板元误差估计的一个新结果

A New Resuit of Error Estimations of Double Set Parameter Nonconforming Plate Elements with Load Belonging to H^(-1)

板弯曲问题一般是在荷载 f∈L2 条件下讨论有限元误差的 ,但真解u∈H3时相匹配的是 f∈H- 1 。在研究了用双参数非协调板元求解此种问题的离散模式及误差估计 ,给出了一个新结果 。

The error estimates of the plate bending problems are usually discussed under the condition of the lood f∈L 2 . But suppose the exact solution u∈H 3, then the corresponding load f should belong to H -1 instead of L 2. In this paper, the modified discrete form and error estimates are studied for double set parameter nonconforming elements with f∈H -1 and a new result is given which improves the estimates obtained before.