A discontinuous Galerkin method for the Cahn–Hilliard equation

Garth N. Wells; Ellen Kuhl; Krishna Garikipati

doi:10.1016/j.jcp.2006.03.010

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

TsAGI Science Journal ◽

10.1615/tsagiscij.2013009684 ◽

2013 ◽

Vol 44 (3) ◽

pp. 327-354

Author(s):

Aleksey Igorevich Troshin ◽

Vladimir Viktorovich Vlasenko ◽

Andrey Viktorovich Wolkov

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Selection Of

Download Full-text

The Extension of A Limiting Algorithm for Discontinuous Galerkin Method to Higher Order

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3982 ◽

2009 ◽

Author(s):

Adrian Maroni ◽

Klaus Hoffmann

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order

Download Full-text

Correction: A Discontinuous Galerkin method for Non-Equilibrium Multi-Material Flows on Unstructured Grids

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1313.c1 ◽

2020 ◽

Author(s):

Aditya Pandare ◽

Jacob Waltz ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Material Flows ◽

Non Equilibrium

Download Full-text

A level-set discontinuous galerkin method for polymorphic phase change

10.26226/morressier.5f5f8e69aa777f8ba5bd5ff1 ◽

2020 ◽

Author(s):

Arjun Narayanan ◽

Stephen Morris

Keyword(s):

Phase Change ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Level Set ◽

Discontinuous Galerkin Method

Download Full-text