有限元的u-强超收敛点  

u-ULTRACONVERGENT POINTS OF FINITE ELEMENT METHOD

作　　者：赵庆华[1] 朱起定[2] 

机构地区：[1]湖南大学数学与计量学院,长沙410082 [2]湖南师范大学数学与计算机科学学院,长沙410081

出　　处：《计算数学》2004年第3期285-292,共8页Mathematica Numerica Sinica

基　　金：国家自然科学基金资助项目.

摘　　要：For a class of two-point boundary value problems, using projection type interpolation we proved there are κ + 1, κ u-ultraconvergence points in each element for k degree finite element solution and its derivative, respectively. The computing formulars are given.For a class of two-point boundary value problems, using projection type interpolation we proved there are k + 1, k u-ultraconvergence points in each element for k degree finite element solution and its derivative, respectively. The computing formulars are given.

关 键 词：u-强超收敛点 有限元法 投影型插值 两点边值问题 介值定理 

分 类 号：O241.82[理学—计算数学]