A meshless geometric multigrid method based on a node-coarsening algorithm for the linear finite element discretization

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.009 ◽

2021 ◽

Vol 96 ◽

pp. 31-43

Author(s):

Sang Truong Ha ◽

Hyoung Gwon Choi

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Finite Element Discretization ◽

Element Discretization ◽

Linear Finite Element ◽

Geometric Multigrid Method ◽

Geometric Multigrid

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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 ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Algebraic Multigrid Method ◽

Element Discretization

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Exponential convergence through linear finite element discretization of stratified subdomains

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.045 ◽

2016 ◽

Vol 322 ◽

pp. 429-447 ◽

Author(s):

Murthy N. Guddati ◽

Vladimir Druskin ◽

Ali Vaziri Astaneh

Keyword(s):

Finite Element ◽

Exponential Convergence ◽

Finite Element Discretization ◽

Element Discretization ◽

Linear Finite Element

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A study of incorporating the multigrid method into the three-dimensional finite element discretization: a modular setting and application

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19980215)41:3<499::aid-nme295>3.0.co;2-3 ◽

1998 ◽

Vol 41 (3) ◽

pp. 499-526 ◽

Author(s):

Hwai-Ping Cheng ◽

Gour-Tsyh Yeh ◽

Jinchao Xu ◽

Ming-Hsu Li ◽

Robert Carsel

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Three Dimensional ◽

Finite Element Discretization ◽

Element Discretization ◽

Dimensional Finite Element ◽

Three Dimensional Finite Element

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Enhancing the Speed of the 3D Finite Element Analysis by the Geometric Multigrid Method with Edge Elements

IEEJ Transactions on Industry Applications ◽

10.1541/ieejias.123.1169 ◽

2003 ◽

Vol 123 (10) ◽

pp. 1169-1175

Author(s):

Vasil Spasov ◽

So Noguchi ◽

Hideo Yamashita

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Multigrid Method ◽

Element Analysis ◽

3D Finite Element ◽

3D Finite Element Analysis ◽

Edge Elements ◽

Geometric Multigrid Method ◽

Geometric Multigrid

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A piecewise linear finite element discretization of the diffusion equation for arbitrary polyhedral grids

Journal of Computational Physics ◽

10.1016/j.jcp.2007.11.026 ◽

2008 ◽

Vol 227 (8) ◽

pp. 3738-3757 ◽

Author(s):

Teresa S. Bailey ◽

Marvin L. Adams ◽

Brian Yang ◽

Michael R. Zika

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Piecewise Linear ◽

Finite Element Discretization ◽

Element Discretization ◽

Linear Finite Element

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM

ACM Transactions on Mathematical Software ◽

10.1145/3425193 ◽

2021 ◽

Vol 47 (1) ◽

pp. 1-27

Author(s):

Thomas C. Clevenger ◽

Timo Heister ◽

Guido Kanschat ◽

Martin Kronbichler

Keyword(s):

Multigrid Method ◽

Geometric Multigrid Method ◽

Geometric Multigrid

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Two grid finite element discretization method for semi‐linear hyperbolic integro‐differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22370 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1676-1693

Author(s):

Luoping Chen ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Discretization Method ◽

Finite Element Discretization ◽

Element Discretization

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A Discontinuous Phase-Space Finite Element Discretization of the Linear Boltzmann-Vlasov Equation for Charged Particle Transport

Journal of Computational and Theoretical Transport ◽

10.1080/00411450.2014.910230 ◽

2014 ◽

Vol 43 (1-7) ◽

pp. 128-147 ◽

Author(s):

Shawn D. Pautz ◽

Clif Drumm ◽

Wesley C. Fan ◽

C. David Turner

Keyword(s):

Finite Element ◽

Charged Particle ◽

Phase Space ◽

Vlasov Equation ◽

Particle Transport ◽

Finite Element Discretization ◽

Element Discretization ◽

Discontinuous Phase ◽

Charged Particle Transport

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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