中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
High Order Mass-Lumping Finite Elements on Simplexes

文献类型：期刊论文

作者Cui, Tao1; Leng, Wei1; Lin, Deng1,2; Ma, Shichao1,2; Zhang, Linbo1,2
刊名NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
出版日期2017-05-01
卷号10期号:2页码:331-350
关键词Finite element mass-lumping simplex numerical quadrature multivariate polynomial interpolation unisolvence
ISSN号1004-8979
DOI10.4208/nmtma.2017.s07
英文摘要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], is introduced. New mass-lumping finite elements on triangles found using this program with higher orders, namely 7, 8 and 9, than those available in the literature are reported.
资助项目National Key Research and Development Program[2016YFB0201304] ; China NSF[91430215] ; China NSF[91530323] ; China NSF[11321061] ; State Key Laboratory of Scientific and Engineering Computing (LSEC) ; National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences (NCMIS)
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000400931100008
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25396]  
专题计算数学与科学工程计算研究所
通讯作者Zhang, Linbo
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 55 East Zhongguancun Rd, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Cui, Tao,Leng, Wei,Lin, Deng,et al. High Order Mass-Lumping Finite Elements on Simplexes[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2017,10(2):331-350.
APA Cui, Tao,Leng, Wei,Lin, Deng,Ma, Shichao,&Zhang, Linbo.(2017).High Order Mass-Lumping Finite Elements on Simplexes.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,10(2),331-350.
MLA Cui, Tao,et al."High Order Mass-Lumping Finite Elements on Simplexes".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 10.2(2017):331-350.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。