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 ◽

Author(s):

Tarek Aboelenen ◽

H.M. El-Hawary

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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A high-order nodal discontinuous Galerkin method for simulation of three-dimensional non-cavitating/cavitating flows

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103681 ◽

2022 ◽

Vol 200 ◽

pp. 103681

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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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 ◽

Author(s):

Florian Frank ◽

Chen Liu ◽

Faruk O. Alpak ◽

Beatrice Riviere

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Method ◽

Micro Ct ◽

Hilliard Equation ◽

Degenerate Mobility ◽

Cahn Hilliard Equation

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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 ◽

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 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 ◽

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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A High Order Accurate Nodal Discontinuous Galerkin Method (DGM) for Numerical Solution of Hyperbolic Equation

International Journal of Applied Physics and Mathematics ◽

10.7763/ijapm.2012.v2.135 ◽

2012 ◽

pp. 362-364 ◽

Author(s):

Fareed Ahmed ◽

Faheem Ahmed ◽

YongHang Guo ◽

Yong Yang

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method

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A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5576 ◽

2017 ◽

Vol 112 (11) ◽

pp. 1659-1686 ◽

Author(s):

A. Modave ◽

A. Atle ◽

J. Chan ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Nodal Discontinuous Galerkin Method

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An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.08.011 ◽

2020 ◽

Vol 168 ◽

pp. 173-214 ◽

Author(s):

M. Hajihassanpour ◽

K. Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Incompressible Flows ◽

Time Stepping ◽

Nodal Discontinuous Galerkin Method ◽

Dual Time Stepping

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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 ◽

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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A high‐order nodal discontinuous Galerkin method to solve preconditioned multiphase Euler/Navier‐Stokes equations for inviscid/viscous cavitating flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4792 ◽

2020 ◽

Vol 92 (5) ◽

pp. 478-508

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Cavitating Flows ◽

Navier Stokes Equations ◽

Nodal Discontinuous Galerkin Method

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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 ◽

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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