Study on an Adaptive Finite Element Solver for the Cahn–Hilliard Equation

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2019 ◽

10.1007/978-3-030-55874-1_23 ◽

2020 ◽

pp. 245-253

Author(s):

G. Fabian Castelli ◽

Willy Dörfler

Keyword(s):

Finite Element ◽

Adaptive Finite Element ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Numerical Simulation of Energy Invariant Quadratic Cahn-Hilliard Equation Based on Finite Element Method

Advances in Applied Mathematics ◽

10.12677/aam.2021.106199 ◽

2021 ◽

Vol 10 (06) ◽

pp. 1904-1910

Author(s):

军平闫

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167260 ◽

1996 ◽

Vol 13 (3) ◽

pp. 495-517 ◽

Author(s):

E. J. Dean ◽

R. Glowinski ◽

D. A. Trevas

Keyword(s):

Finite Element ◽

Least Squares ◽

Solution Method ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Approximate Factorization ◽

Least Squares Solution ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions†

Communications in Computational Physics ◽

10.4208/cicp.2019.js60.14 ◽

2019 ◽

Vol 26 (5) ◽

pp. 1490-1509

Author(s):

Na Li

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Finite Element Scheme ◽

Element Scheme ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation ◽

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Finite element simulation and efficient algorithm for fractional Cahn–Hilliard equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.037 ◽

2019 ◽

Vol 356 ◽

pp. 248-266 ◽

Author(s):

Feng Wang ◽

Huanzhen Chen ◽

Hong Wang

Keyword(s):

Finite Element ◽

Finite Element Simulation ◽

Efficient Algorithm ◽

Hilliard Equation ◽

Element Simulation ◽

Cahn Hilliard Equation

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Error Analysis of a Fully Discrete Morley Finite Element Approximation for the Cahn–Hilliard Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0834-3 ◽

2018 ◽

Vol 78 (3) ◽

pp. 1862-1892 ◽

Author(s):

Yukun Li

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Approximation ◽

Element Approximation ◽

Fully Discrete ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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A nonconforming finite element method for the Cahn–Hilliard equation

Journal of Computational Physics ◽

10.1016/j.jcp.2010.06.020 ◽

2010 ◽

Vol 229 (19) ◽

pp. 7361-7372 ◽

Author(s):

Shuo Zhang ◽

Ming Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn--Hilliard Equation

SIAM Journal on Numerical Analysis ◽

10.1137/17m1121627 ◽

2018 ◽

Vol 56 (2) ◽

pp. 708-731 ◽

Author(s):

Daisuke Furihata ◽

Mihály Kovács ◽

Stig Larsson ◽

Fredrik Lindgren

Keyword(s):

Finite Element ◽

Strong Convergence ◽

Finite Element Approximation ◽

Element Approximation ◽

Fully Discrete ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

Discrete Finite Element

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Postprocessing Mixed Finite Element Methods For Solving Cahn–Hilliard Equation: Methods and Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-015-0101-9 ◽

2015 ◽

Vol 67 (2) ◽

pp. 724-746 ◽

Author(s):

Wansheng Wang ◽

Long Chen ◽

Jie Zhou

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Hessian recovery based finite element methods for the Cahn-Hilliard equation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.01.056 ◽

2019 ◽

Vol 386 ◽

pp. 524-540 ◽

Author(s):

Minqiang Xu ◽

Hailong Guo ◽

Qingsong Zou

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hilliard Equation ◽

Hessian Recovery ◽

Cahn Hilliard Equation

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High Order Finite Element Calculations for the Cahn-Hilliard Equation

Journal of Scientific Computing ◽

10.1007/s10915-011-9546-7 ◽

2011 ◽

Vol 52 (2) ◽

pp. 294-321 ◽

Author(s):

Ludovic Goudenège ◽

Daniel Martin ◽

Grégory Vial

Keyword(s):

Finite Element ◽

Hilliard Equation ◽

Finite Element Calculations ◽

Cahn Hilliard Equation

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