多变量有限元列式的统一性和对应性  

The oneness and identity for the formulation of multi variable finite elements

作　　者：史宝军[1,2] 鹿晓阳[1,2] 鹿晓力 

机构地区：[1]山东建筑工程学院计算结构力学与计算机辅助设计研究所 [2]郑州轻工业学院自动控制系

出　　处：《山东建筑工程学院学报》1999年第1期75-79,共5页Journal of Shandong Institute of Architecture and Engineering

摘　　要：应用加权残值法基本原理，导出了建立多变量有限元模型的统一列式，讨论了该列式与几种典型多变量有限元模型［１～６，１０～１２］的对应关系及退化关系和等价关系。从而阐明了各类多变量有限元模型之间的内在联系，为各种多变量有限元模型的相互借鉴和相互促进与发展提供了理论依据，并提出了建立多变量有限元模型新的可能途径。A uniform formulation of multi variable finite element models, which is based on rationale of weighted residual method, is derived. Its relations with other typical multi variable finite element models [1～6,10～12] are discussed. So the internal relations of each multi variable finite element models are elucidated. Which lay theoretical secundum for their inter premotion and development. And some new possible formulas are proposed.

关 键 词：加权残值法 多变量有限元 列式 统一性 对应性 

分 类 号：O242.21[理学—计算数学] O343[理学—数学]