一维有限元的校正方法

CORRECTION OF ONE-DIMENSIONAL FINITE ELEMENT METHOD

对两点边值问题提出了一次有限元的校正算法,能同时计算高精度的函数值■n及导数值Dh■h,并严格证明了■-u=0(h^4) 及Dh■-u'=0(h^4)。数例表明此校正算法简单,容易计算,且提高精度显著。

For two—point bouundary value problem the correctioh algorithms of linear element are posed. High acouracy values (?) and derivative D_h(?) can be simultaneously computed, (?)-u=O(h^4) and D_h(?)-u'=O(h^4) are strictly proved. Numerical examples show that the algorithms are simple and easy for computihg, ahd raise greatly the accuracy.