基于等几何分析的组合杂交有限元方法  

Isogeometric Analysis-based Combined Hybrid Finite Element Method

作　　者：蒙许成 郭元辉[2] 

机构地区：[1]四川大学数学学院,四川成都610064 [2]西华师范大学实验中心,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2014年第3期220-227,共8页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金(11171239)

摘　　要：本文考虑基于等几何分析的组合杂交有限元方法对平面线弹性问题的数值求解.利用等几何分析思想,位移、应力的有限元空间均由构造求解区域的NURBS基函数生成.数值算例表明,基于等几何分析的组合杂交有限元法能得到良好的数值结果.This paper considers the combined hybrid method based on Isogeometric analysis for the numerical solution to the plane elasticity equations. Following the ideas of Isogeometric analysis,the displacement and stress finite element spaces are spanned by the NURBS basis functions which are used to construct the physical domain. Numerical experiments show that the combined hybrid method based on Isogeometric analysis gets excellent numerical results.

关 键 词：等几何分析 NURBS 有限元 组合杂交法 

分 类 号：O242.21[理学—计算数学]