highordermasslumpingfiniteelementsonsimplexes

	highordermasslumpingfiniteelementsonsimplexes
	Cui Tao; Leng Wei; Lin Deng; Ma Shichao; Zhang Linbo
	2017
发表期刊	numericalmathematicstheorymethodsandapplications
ISSN	1004-8979
卷号	10 期号:2 页码:331
摘要	This paper is concerned with the construction of high order mass-lumping finite elements on simplexes and a program for computing mass-lumping finite elements on triangles and tetrahedra. The polynomial spaces for mass-lumping finite elements, as proposed in the literature, are presented and discussed. In particular, the unisolvence problem of symmetric point-sets for the polynomial spaces used in mass-lumping elements is addressed, and an interesting property of the unisolvent symmetric point-sets is observed and discussed. Though its theoretical proof is still lacking, this property seems to be true in general, and it can greatly reduce the number of cases to consider in the computations of mass-lumping elements. A program for computing mass-lumping finite elements on triangles and tetrahedra, derived from the code for computing numerical quadrature rules presented in 7
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/46397
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Cui Tao,Leng Wei,Lin Deng,et al. highordermasslumpingfiniteelementsonsimplexes[J]. numericalmathematicstheorymethodsandapplications,2017,10(2):331.
APA	Cui Tao,Leng Wei,Lin Deng,Ma Shichao,&Zhang Linbo.(2017).highordermasslumpingfiniteelementsonsimplexes.numericalmathematicstheorymethodsandapplications,10(2),331.
MLA	Cui Tao,et al."highordermasslumpingfiniteelementsonsimplexes".numericalmathematicstheorymethodsandapplications 10.2(2017):331.