QQ客服 官方微博 反馈留言

	Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids in R-n
	Chen, Long ; Hu, Jun ; Huang, Xuehai
	2017
关键词	Linear Elasticity Stabilized Mixed Finite Element Method Error Analysis Simplicial Grid Inf-Sup Condition WEAKLY IMPOSED SYMMETRY PLANE ELASTICITY STRESS SYMMETRY FAMILY TENSORS
英文摘要	In this paper, we design two classes of stabilized mixed finite element methods for linear elasticity on simplicial grids. In the first class of elements, we use H(div, Omega; S)-P-k and L-2 (Omega; R-n)-Pk-1 to approximate the stress and displacement spaces, respectively, for 1 <= k <= n, and employ a stabilization technique in terms of the jump of the discrete displacement over the edges/faces of the triangulation under consideration; in the second class of elements, we use H-0(1) (Omega; R-n)-P-k to approximate the displacement space for 1 <= k <= n, and adopt the stabilization technique suggested by Brezzi, Fortin, and Marini [19]. We establish the discrete inf-sup conditions, and consequently present the a priori error analysis for them. The main ingredient for the analysis are two special interpolation operators, which can be constructed using a crucial H(div) bubble function space of polynomials on each element. The feature of these methods is the low number of global degrees of freedom in the lowest order case. We present some numerical results to demonstrate the theoretical estimates.; NSF [DMS-1418934]; NSFC [11625101, 11271035, 91430213, 11421101, 11301396, 11671304]; Natural Science Foundation of Zhejiang Province [LY17A010010, LY15A010015, LY15A010016, LY14A010020]; SCI(E); ARTICLE; 1; 17-31; 17
语种	英语
出处	SCI
出版者	COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/476486]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Long,Hu, Jun,Huang, Xuehai. Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids in R-n. 2017-01-01.

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。