caa a22 4500 467939233 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-4139-8 doi (NATIONALLICENCE)springer-10.1007/s10444-004-4139-8 Quadratic immersed finite element spaces and their approximation capabilities [Elektronische Daten] [Brian Camp, Tao Lin, Yanping Lin, Weiwei Sun] This paper discusses a class of quadratic immersed finite element (IFE) spaces developed for solving second order elliptic interface problems. Unlike the linear IFE basis functions, the quadratic IFE local nodal basis functions cannot be uniquely defined by nodal values and interface jump conditions. Three types of one dimensional quadratic IFE basis functions are presented together with their extensions for forming the two dimensional IFE spaces based on rectangular partitions. Approximation capabilities of these IFE spaces are discussed. Finite element solutions based on these IFE for representative interface problems are presented to further illustrate capabilities of these IFE spaces. Springer, 2006 interface problem nationallicence discontinuous coefficients nationallicence structured mesh nationallicence quadratic immersed finite element methods nationallicence order of convergence nationallicence error bounds nationallicence Camp Brian Department of Mathematics, Virginia Tech, USA aut Lin Tao Department of Mathematics, Virginia Tech, USA aut Lin Yanping Department of Mathematics Sciences, University of Alberta, Canada and Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, China aut Sun Weiwei Department of Mathematics, City University of Hong Kong, Hong Kong, China aut Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 81-112 1019-7168 24:1-4<81 2006 24 10444 https://doi.org/10.1007/s10444-004-4139-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-4139-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Camp Brian Department of Mathematics, Virginia Tech, USA aut NATIONALLICENCE 700 1- Lin Tao Department of Mathematics, Virginia Tech, USA aut NATIONALLICENCE 700 1- Lin Yanping Department of Mathematics Sciences, University of Alberta, Canada and Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, China aut NATIONALLICENCE 700 1- Sun Weiwei Department of Mathematics, City University of Hong Kong, Hong Kong, China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 81-112 1019-7168 24:1-4<81 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer