有限元方法的重要补充——无网格方法  

Beneficial Complement of Finite Element Methods(FEM)——Element-Free Methods(EFM)

作　　者：蒙彦宇[1] 谭硕[2] 孙威[1] 郭鹏飞[1] 崔阳[3] 

机构地区：[1]辽宁工学院土木建筑系,辽宁锦州121000 [2]辽宁大学工商管理学院,辽宁沈阳110003 [3]沈阳辰宇房地产发展有限责任公司,辽宁沈阳110000

出　　处：《辽宁工学院学报》2006年第3期178-181,185,共5页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：简要地回顾了两大数值计算方法---有限元方法和无网格方法的基本思想。从几个典型的发展趋势上详细地阐述了这两大数值方法的相似性和差异性;并通过比较两种方法及算例分析,得出了无网格方法作为有限元等传统数值分析方法的重要补充和发展,已在工程应用等问题当中显示了强大的优越性和广阔的发展前景。The basic ideas of the Finite Element Methods（FEM） and the Element-Free Methods（EFM） were simply reviewed,as two greatest ways of numerical valuation＇s calculation.By considering several typical development trends ,the similarity and discrepancy in two ways were elaborated detailedly. By contrasting,it is seen that EFM, as the greatest compliment of FEM, demonstrates its important supplementation, which has shown powerful advantages and prospect in engineering applications.

关 键 词：有限元方法 无网格方法 数值计算 近似函数 移动最小二乘方法 

分 类 号：TB125[理学—工程力学]