平均函数与有限元基函数的平均修正

MEAN FUNCTIONS AND MEAN MODIFICATION OF FINITE ELEMENT BASIS FUNCTION

摘要: 首次提出了有限元基函数的平均修正法。经过平均修正的有限元基函数，一方面保留了修正前的许多特性，另一方面又使修正后的基函数具有任意阶的导数。从而使单元间包括导数在内的任何不协调性消除。并对引入平均修正后所引起的单元形成，单元组装等过程的改变进行了讨论。

Abstract: A method is proposed to mean-modify finite element basis functions. In manydspects the meanmodified functions behave much like the unmodified ones,but are muchsmoother,and the non-conformity between elements are completely eliminiated.Also diss-cussed are the change induced in the processes of element forming and assembling.