摘要
本文论述了创建广义插值法的思想，介绍了它的数学模型，求解方法及其最佳逼近性质。广义插值方法将插值方法与拟合方法有机地结合起来，吸取两者的长处，取得了良好的逼近效果。广义插值方法在数据逼近、数据处理、曲面构造及有限元法和边界元法的试探函数构造等领域有广泛的应用价值。文中对某些应用作部分介绍，验证了本文论证的正确性和本方法的实用性。
The idea of the extended interpolation method with its mathematics model, resolving approach and the optimal approximation property are presented in this article, The Extend interpolation(EIM) combines interpolation method and fitting method with the merits of both. EIM has wide applications in the data approximation, the data processing, curved surface and trial functions of Finit Element Method(FEM) and Boundary Element Method(BEM), The application of EIM in piecewise approximations to functions with one and two variables and in FEM and BEM verity the efficiency and the correctness of the above discussions.
出处
《杭州电子工业学院学报》
2001年第3期16-22,共7页
Journal of Hangzhou Institute of Electronic Engineering
关键词
广义插值法
有限元
数学模型
Extended interpolation method
Interpolation method
fitting method
Finit element method
