摘要
This paper discuss the bicubic spline element solution for plate problem, we obtain the superconvergence result with two order higher than ordinary accuracy,i.e.Moreover, we get the asympototic expansion and superconvergence result of the first and second derivatives. A combination formula of the second derivative which have the accuracy of O(h4) is also derived.
This paper discuss the bicubic spline element solution for plate problem, we obtain the superconvergence result with two order higher than ordinary accuracy,i.e.Moreover, we get the asympototic expansion and superconvergence result of the first and second derivatives. A combination formula of the second derivative which have the accuracy of O(h4) is also derived.
出处
《计算数学》
CSCD
北大核心
1998年第2期167-174,共8页
Mathematica Numerica Sinica
基金
国家攀登计划资助
关键词
板问题
样条有限元
超收敛
组合公式
精度
Plate problem, Spline element, Superconvergence,High accuracy