EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES

doi:10.1090/mcom/2955

	EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES
	Hiptmair, Ralf 1; Jerez-Hanckes, Carlos 2; Mao, Shipeng3
	2015-11-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	84 期号:296 页码:2589-2615
摘要	We consider lowest-order H-1/2 (div(Gamma), Gamma)- and H-1/2 (Gamma)-conforming boundary element spaces supported on part of the boundary G of a Lipschitz polyhedron. Assuming families of triangular meshes created by regular refinement, we prove that on these spaces the norms of the extension by zero operators with respect to (localized) trace norms increase poly-logarithmically with the mesh width. Our approach harnesses multilevel norm equivalences for boundary element spaces, inherited from stable multilevel splittings of finite element spaces.
关键词	Boundary finite element spaces inverse estimates multilevel norm equivalences
DOI	10.1090/mcom/2955
语种	英语
资助项目	FONDECYT[11121166] ; CONICYT project[Anillo ACT1118] ; Thales SA under contract "Preconditioned Boundary Element Methods for Electromagnetic Scattering at Dielectric Objects" ; NSFC[11101414] ; NSFC[11101386] ; NSFC[11471329]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000369811600002
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22053
专题	计算数学与科学工程计算研究所
通讯作者	Hiptmair, Ralf
作者单位	1.ETH, SAM, CH-8092 Zurich, Switzerland 2.Pontificia Univ Catolica Chile, Sch Engn, Santiago, Chile 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hiptmair, Ralf,Jerez-Hanckes, Carlos,Mao, Shipeng. EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES[J]. MATHEMATICS OF COMPUTATION,2015,84(296):2589-2615.
APA	Hiptmair, Ralf,Jerez-Hanckes, Carlos,&Mao, Shipeng.(2015).EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES.MATHEMATICS OF COMPUTATION,84(296),2589-2615.
MLA	Hiptmair, Ralf,et al."EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES".MATHEMATICS OF COMPUTATION 84.296(2015):2589-2615.