Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation

Chen Liu; Florian Frank; Béatrice M. Rivière

doi:10.1002/num.22362

Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22362 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1509-1537 ◽

Cited By ~ 1

Author(s):

Chen Liu ◽

Florian Frank ◽

Béatrice M. Rivière

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Error ◽

Interior Penalty ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging

Computational Geosciences ◽

10.1007/s10596-017-9709-1 ◽

2018 ◽

Vol 22 (2) ◽

pp. 543-563 ◽

Cited By ~ 13

Author(s):

Florian Frank ◽

Chen Liu ◽

Faruk O. Alpak ◽

Beatrice Riviere

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Method ◽

Ct Imaging ◽

Micro Ct ◽

Hilliard Equation ◽

Degenerate Mobility ◽

Cahn Hilliard Equation

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A discontinuous Galerkin method for the Cahn–Hilliard equation

Journal of Computational Physics ◽

10.1016/j.jcp.2006.03.010 ◽

2006 ◽

Vol 218 (2) ◽

pp. 860-877 ◽

Cited By ~ 114

Author(s):

Garth N. Wells ◽

Ellen Kuhl ◽

Krishna Garikipati

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems

Journal of Numerical Mathematics ◽

10.1515/jnma.2002.249 ◽

2002 ◽

Vol 10 (4) ◽

Cited By ~ 22

Author(s):

G. Kanschat ◽

R. Rannacher

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Local Error ◽

Interior Penalty ◽

Second Order Elliptic Problems

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A discontinuous Galerkin method for the Cahn-Hilliard equation

Journal of Applied Mathematics and Computing ◽

10.1007/bf02936559 ◽

2005 ◽

Vol 18 (1-2) ◽

pp. 113-126 ◽

Cited By ~ 12

Author(s):

S. M. Choo ◽

Y. J. Lee

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation

Journal of Scientific Computing ◽

10.1007/s10915-017-0497-5 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 1178-1203 ◽

Cited By ~ 8

Author(s):

Huailing Song ◽

Chi-Wang Shu

Keyword(s):

Stability Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Energy Stability ◽

Hilliard Equation ◽

Local Discontinuous Galerkin ◽

Cahn Hilliard Equation

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A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.114025 ◽

2021 ◽

pp. 114025

Author(s):

Emmanuel Y. Medina ◽

Elson M. Toledo ◽

Iury Igreja ◽

Bernardo M. Rocha

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn–Hilliard equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.018 ◽

2017 ◽

Vol 73 (6) ◽

pp. 1197-1217 ◽

Cited By ~ 13

Author(s):

Tarek Aboelenen ◽

H.M. El-Hawary

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Nodal Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma

Journal of Scientific Computing ◽

10.1007/s10915-009-9300-6 ◽

2009 ◽

Vol 41 (3) ◽

pp. 321-340 ◽

Cited By ~ 24

Author(s):

Yunqing Huang ◽

Jichun Li

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Cold Plasma ◽

Maxwell's Equations ◽

Interior Penalty

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Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.06.003 ◽

2014 ◽

Vol 255 ◽

pp. 432-440 ◽

Cited By ~ 11

Author(s):

Lin Mu ◽

Junping Wang ◽

Yanqiu Wang ◽

Xiu Ye

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Interior Penalty ◽

Polyhedral Meshes

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Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-011-9564-5 ◽

2011 ◽

Vol 52 (3) ◽

pp. 638-655 ◽

Cited By ~ 6

Author(s):

Mengping Zhang ◽

Jue Yan

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Fourier Type

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