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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Comparison of algebraic multigrid methods for an adaptive space-time finite-element discretization of the heat equation in 3D and 4D

Numerical Linear Algebra with Applications ◽

10.1002/nla.2143 ◽

2018 ◽

Vol 25 (3) ◽

pp. e2143 ◽

Cited By ~ 13

Author(s):

Olaf Steinbach ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Heat Equation ◽

Multigrid Methods ◽

Space Time ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Element Discretization ◽

Algebraic Multigrid Methods

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A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Space Time ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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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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BDDC Preconditioners for a Space-time Finite Element Discretization of Parabolic Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXV ◽

10.1007/978-3-030-56750-7_42 ◽

2020 ◽

pp. 367-374

Author(s):

Ulrich Langer ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Space Time ◽

Parabolic Problems ◽

Finite Element Discretization ◽

Element Discretization

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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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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 ◽

Cited By ~ 4

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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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 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 fast discontinuous finite element discretization for the space-time fractional diffusion-wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22179 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2043-2061

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li

Keyword(s):

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Space Time ◽

Finite Element Discretization ◽

Element Discretization ◽

Diffusion Wave ◽

Discontinuous Finite Element

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θschemes for finite element discretization of the space–time fractional diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.04.032 ◽

2015 ◽

Vol 288 ◽

pp. 264-273 ◽

Cited By ~ 13

Author(s):

Qingguang Guan ◽

Max Gunzburger

Keyword(s):

Finite Element ◽

Fractional Diffusion ◽

Space Time ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Fractional Diffusion Equations

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