Two‐level Fourier analysis of multigrid for higher‐order finite‐element discretizations of the Laplacian

Numerical Linear Algebra with Applications ◽

10.1002/nla.2285 ◽

2020 ◽

Vol 27 (3) ◽

Author(s):

Yunhui He ◽

Scott MacLachlan

Keyword(s):

Finite Element ◽

Fourier Analysis ◽

Higher Order ◽

Finite Element Discretizations ◽

Element Discretizations

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Higher order dual Lagrange multiplier spaces�for mortar finite element discretizations

CALCOLO ◽

10.1007/s100920200010 ◽

2002 ◽

Vol 39 (4) ◽

pp. 219-237 ◽

Author(s):

B. P. Lamichhane ◽

B. I. Wohlmuth

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Higher Order ◽

Finite Element Discretizations ◽

Element Discretizations

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Preconditioners for higher order finite element discretizations of H(div)-elliptic problem

Computational and Applied Mathematics ◽

10.1590/s1807-03022010000100005 ◽

2010 ◽

Vol 29 (1) ◽

Author(s):

Junxian Wang ◽

Liuqiang Zhong ◽

Shi Shu

Keyword(s):

Finite Element ◽

Elliptic Problem ◽

Higher Order ◽

Finite Element Discretizations ◽

Element Discretizations

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Higher-order finite element discretizations in a benchmark problem for incompressible flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.195 ◽

2001 ◽

Vol 37 (8) ◽

pp. 885-903 ◽

Author(s):

Volker John ◽

Gunar Matthies

Keyword(s):

Finite Element ◽

Incompressible Flows ◽

Higher Order ◽

Benchmark Problem ◽

Finite Element Discretizations ◽

Element Discretizations

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Preconditioners for higher order edge finite element discretizations of Maxwell’s equations

Science in China Series A Mathematics ◽

10.1007/s11425-008-0098-8 ◽

2008 ◽

Vol 51 (8) ◽

pp. 1537-1548 ◽

Author(s):

LiuQiang Zhong ◽

Shi Shu ◽

DuDu Sun ◽

Lin Tan

Keyword(s):

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Higher Order ◽

Finite Element Discretizations ◽

Element Discretizations

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A robust preconditioner for higher order finite element discretizations in linear elasticity

Numerical Linear Algebra with Applications ◽

10.1002/nla.767 ◽

2011 ◽

Vol 18 (5) ◽

pp. 827-842 ◽

Author(s):

Yingxiong Xiao ◽

Shi Shu

Keyword(s):

Finite Element ◽

Linear Elasticity ◽

Higher Order ◽

Finite Element Discretizations ◽

Element Discretizations

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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 ◽

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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MASSIVELY PARALLEL SOLUTION TECHNIQUES FOR HIGHER-ORDER FINITE-ELEMENT DISCRETIZATIONS IN CFD

Advances in Computational Fluid Dynamics - Adaptive High-Order Methods in Computational Fluid Dynamics ◽

10.1142/9789814313193_0002 ◽

2011 ◽

pp. 33-65

Author(s):

Laslo T. Diosady ◽

David L. Darmofal

Keyword(s):

Finite Element ◽

Higher Order ◽

Massively Parallel ◽

Parallel Solution ◽

Finite Element Discretizations ◽

Element Discretizations ◽

Solution Techniques

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Correction: An Implicit Block ILU Smoother for Preconditioning of Newton-Krylov Solvers with Application in Finite-Element Discretizations

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-0101.c1 ◽

2019 ◽

Author(s):

Behzad Reza Ahrabi ◽

Dimitri J. Mavriplis

Keyword(s):

Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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Reissner’s Mixed Variational Theorem and triangular finite element discretizations: an energetic interpretation

Thin-Walled Structures ◽

10.1016/j.tws.2021.107994 ◽

2021 ◽

Vol 166 ◽

pp. 107994

Author(s):

Luciano Demasi ◽

Victor Hong ◽

Enrico Santarpia

Keyword(s):

Finite Element ◽

Triangular Finite Element ◽

Variational Theorem ◽

Finite Element Discretizations ◽

Reissner’S Mixed Variational Theorem ◽

Element Discretizations

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Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-004-4136-6 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 47-82 ◽

Author(s):

Onno Bokhove

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

One Dimension ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Finite Element Discretizations ◽

Flooding And Drying ◽

Element Discretizations

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