QQ客服 官方微博 反馈留言

	FINITE ELEMENT APPROXIMATIONS OF SYMMETRIC TENSORS ON SIMPLICIAL GRIDS IN R-n : THE HIGHER ORDER CASE
	Hu, Jun
	2015
关键词	Mixed finite element Symmetric finite element First order system Simplicial grid Inf-sup condition WEAK STRESS SYMMETRY LINEAR ELASTICITY PLANE ELASTICITY MIXED FEM FAMILY
英文摘要	The design of mixed finite element methods in linear elasticity with symmetric stress approximations has been a longstanding open problem until Arnold and Winther designed the first family of mixed finite elements where the discrete stress space is the space of H(div, Omega; S)-Pk+1 tensors whose divergence is a Pk-1 polynomial on each triangle for k >= 2. Such a two dimensional family was extended, by Arnold, Awanou and Winther, to a three dimensional family of mixed elements where the discrete stress space is the space of H(div, Omega; S)-Pk+2 tensors, whose divergence is a Pk-1 polynomial on each tetrahedron for k >= 2. In this paper, we are able to construct, in a unified fashion, mixed finite element methods with symmetric stress approximations on an arbitrary simplex in R-n for any space dimension. On the contrary, the discrete stress space here is the space of H(div, Omega; S)-P-k tensors, and the discrete displacement space here is the space of L-2 (Omega; R-n)-Pk-1 vectors for k >= n + 1. These finite element spaces are defined with respect to an arbitrary simplicial triangulation of the domain, and can be regarded as extensions to any dimension of those in two and three dimensions by Hu and Zhang.; supported by the NSFC Projects; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; hujun@math.pku.edu.cn; 3; 283-296; 33
语种	中文
出处	SCI ; CSCD
出版者	JOURNAL OF COMPUTATIONAL MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/421235]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hu, Jun. FINITE ELEMENT APPROXIMATIONS OF SYMMETRIC TENSORS ON SIMPLICIAL GRIDS IN R-n : THE HIGHER ORDER CASE. 2015-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

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。