caa a22 4500 467939454 CHVBK 20180406153008.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-004-7627-y doi (NATIONALLICENCE)springer-10.1007/s10444-004-7627-y An algebraic multigrid method for finite element systems on criss-cross grids [Elektronische Daten] [Shi Shu, Jinchao Xu, Ying Yang, Haiyuan Yu] In this paper, we design and analyze an algebraic multigrid method for a condensed finite element system on criss-cross grids and then provide a convergence analysis. Criss-cross grid finite element systems represent a large class of finite element systems that can be reduced to a smaller system by first eliminating certain degrees of freedoms. The algebraic multigrid method that we construct is analogous to many other algebraic multigrid methods for more complicated problems such as unstructured grids, but, because of the specialty of our problem, we are able to provide a rigorous convergence analysis to our algebraic multigrid method. Springer, 2006 algebraic multigrid method nationallicence finite element nationallicence criss-cross grids nationallicence convergence analysis nationallicence Shu Shi Institute for Computational and Applied Mathematics of Xiangtan University, China aut Xu Jinchao Department of Mathematics and Center for Computational Mathematics and Application of Pennsylvania State University, USA aut Yang Ying Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China aut Yu Haiyuan Institute for Computational and Applied Mathematics of Xiangtan University, China aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 287-304 1019-7168 25:1-3<287 2006 25 10444 https://doi.org/10.1007/s10444-004-7627-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7627-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shu Shi Institute for Computational and Applied Mathematics of Xiangtan University, China aut NATIONALLICENCE 700 1- Xu Jinchao Department of Mathematics and Center for Computational Mathematics and Application of Pennsylvania State University, USA aut NATIONALLICENCE 700 1- Yang Ying Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China aut NATIONALLICENCE 700 1- Yu Haiyuan Institute for Computational and Applied Mathematics of Xiangtan University, China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 287-304 1019-7168 25:1-3<287 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer