A geometric-based algebraic multigrid method for higher-order finite element equations in two-dimensional linear elasticity

Yingxiong Xiao; Shi Shu; Tuyan Zhao

doi:10.1002/nla.629

A geometric-based algebraic multigrid method for higher-order finite element equations in two-dimensional linear elasticity

Numerical Linear Algebra with Applications ◽

10.1002/nla.629 ◽

2009 ◽

Vol 16 (7) ◽

pp. 535-559 ◽

Cited By ~ 6

Author(s):

Yingxiong Xiao ◽

Shi Shu ◽

Tuyan Zhao

Keyword(s):

Finite Element ◽

Linear Elasticity ◽

Multigrid Method ◽

Higher Order ◽

Algebraic Multigrid ◽

Two Dimensional ◽

Algebraic Multigrid Method

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An algebraic multigrid method with interpolation reproducing rigid body modes for semi-definite problems in two-dimensional linear elasticity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.021 ◽

2007 ◽

Vol 200 (2) ◽

pp. 637-652 ◽

Cited By ~ 7

Author(s):

Ying-Xiong Xiao ◽

Ping Zhang ◽

Shi Shu

Keyword(s):

Rigid Body ◽

Linear Elasticity ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Two Dimensional ◽

Algebraic Multigrid Method ◽

Rigid Body Modes

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An Algebraic Multigrid Method for Higher-order Finite Element Discretizations

Computing ◽

10.1007/s00607-006-0162-6 ◽

2006 ◽

Vol 77 (4) ◽

pp. 347-377 ◽

Cited By ~ 13

Author(s):

S. Shu ◽

D. Sun ◽

J. Xu

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Higher Order ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Finite Element Discretizations ◽

Element Discretizations

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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-73441-5_6 ◽

2018 ◽

pp. 66-73

Author(s):

Olaf Steinbach ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Space Time ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Algebraic Multigrid Method ◽

Element Discretization

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An algebraic multigrid method for finite element discretizations with edge elements

Numerical Linear Algebra with Applications ◽

10.1002/nla.271 ◽

2002 ◽

Vol 9 (3) ◽

pp. 223-238 ◽

Cited By ~ 90

Author(s):

S. Reitzinger ◽

J. Schöberl

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Edge Elements ◽

Finite Element Discretizations ◽

Element Discretizations

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An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions

Numerical Linear Algebra with Applications ◽

10.1002/nla.1966 ◽

2015 ◽

Vol 22 (3) ◽

pp. 465-482 ◽

Cited By ~ 2

Author(s):

Yingxiong Xiao ◽

Zhiyang Zhou ◽

Shi Shu

Keyword(s):

Linear Elasticity ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Three Dimensions ◽

Algebraic Multigrid Method ◽

Anisotropic Meshes ◽

Elasticity Problems

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An Algebraic Multigrid Method for Linear Elasticity

SIAM Journal on Scientific Computing ◽

10.1137/s1064827502407810 ◽

2003 ◽

Vol 25 (2) ◽

pp. 385-407 ◽

Cited By ~ 47

Author(s):

Michael Griebel ◽

Daniel Oeltz ◽

Marc Alexander Schweitzer

Keyword(s):

Linear Elasticity ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method

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An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1140 ◽

2010 ◽

pp. n/a-n/a

Author(s):

Yingxiong Xiao ◽

Shi Shu ◽

Ping Zhang ◽

Min Tan

Keyword(s):

Linear Elasticity ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Anisotropic Meshes ◽

Elasticity Problems

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An Algebraic Multigrid Method for the Finite Element Analysis of Large Scattering Problems

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2012.2224084 ◽

2013 ◽

Vol 61 (2) ◽

pp. 809-817 ◽

Cited By ~ 7

Author(s):

Ali Aghabarati ◽

Jon P. Webb

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Scattering Problems ◽

Element Analysis ◽

Algebraic Multigrid Method ◽

The Finite Element Analysis

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A finite element domain decomposition combined with algebraic multigrid method for large-scale electromagnetic field computation

IEEE Transactions on Magnetics ◽

10.1109/tmag.2006.872464 ◽

2006 ◽

Vol 42 (4) ◽

pp. 655-658 ◽

Cited By ~ 10

Author(s):

Yuanqing Liu ◽

Jiansheng Yuan

Keyword(s):

Finite Element ◽

Electromagnetic Field ◽

Domain Decomposition ◽

Large Scale ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Field Computation

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An algebraic multigrid method for finite element systems on criss-cross grids

Advances in Computational Mathematics ◽

10.1007/s10444-004-7627-y ◽

2006 ◽

Vol 25 (1-3) ◽

pp. 287-304 ◽

Cited By ~ 2

Author(s):

Shi Shu ◽

Jinchao Xu ◽

Ying Yang ◽

Haiyuan Yu

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Algebraic Multigrid Method ◽

Finite Element Systems

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