TY - JOUR
T1 - An algebraic multigrid method for finite element systems on criss-cross grids
AU - Shu, Shi
AU - Xu, Jinchao
AU - Yang, Ying
AU - Yu, Haiyuan
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2006/7/1
Y1 - 2006/7/1
N2 - 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.
AB - 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.
UR - http://link.springer.com/10.1007/s10444-004-7627-y
UR - http://www.scopus.com/inward/record.url?scp=33745665110&partnerID=8YFLogxK
U2 - 10.1007/s10444-004-7627-y
DO - 10.1007/s10444-004-7627-y
M3 - Article
SN - 1019-7168
VL - 25
SP - 287
EP - 304
JO - Advances in Computational Mathematics
JF - Advances in Computational Mathematics
IS - 1-3
ER -