EXTENSION BY ZERO IN DISCRETE TRACE SPACES: INVERSE ESTIMATES
文献类型：期刊论文
| 作者 | Hiptmair, Ralf1; Jerez-Hanckes, Carlos2; Mao, Shipeng3
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2015-11-01 |
| 卷号 | 84期号:296页码:2589-2615 |
| 关键词 | Boundary finite element spaces inverse estimates multilevel norm equivalences |
| ISSN号 | 0025-5718 |
| DOI | 10.1090/mcom/2955 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000369811600002 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22052]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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