THE GALERKIN FINITE ELEMENT METHOD FOR 1D BOUNDARY VALUE PROBLEMS

This article presents an algorithm for solving 1D boundary value problems using the Galerkin finite element method. Furthermore, new local basis functions for the Galerkin finite element method are introduced, and it is established that these functions are fundamental splines.

本文提出了一种采用伽辽金有限元法（Galerkin finite element method）求解一维边值问题的算法。此外，本文还引入了适用于伽辽金有限元法的新型局部基函数，并证实该类函数为基本样条函数。