Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation

Mathematics of Computation ◽

10.1090/s0025-5718-1992-1122067-1 ◽

1992 ◽

Vol 58 (198) ◽

pp. 603 ◽

Author(s):

Charles M. Elliott ◽

Stig Larsson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Nonsmooth Data ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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Supplement to Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation

Mathematics of Computation ◽

10.2307/2153232 ◽

1992 ◽

Vol 58 (198) ◽

pp. S33

Author(s):

Charles M. Elliott ◽

Stig Larsson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Nonsmooth Data ◽

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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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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Evolving surface finite element method for the Cahn–Hilliard equation

Numerische Mathematik ◽

10.1007/s00211-014-0644-y ◽

2014 ◽

Vol 129 (3) ◽

pp. 483-534 ◽

Author(s):

Charles M. Elliott ◽

Thomas Ranner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hilliard Equation ◽

Evolving Surface ◽

Cahn Hilliard Equation ◽

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A robust solver for a second order mixed finite element method for the Cahn–Hilliard equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.038 ◽

2020 ◽

Vol 364 ◽

pp. 112322 ◽

Author(s):

Susanne C. Brenner ◽

Amanda E. Diegel ◽

Li-Yeng Sung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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Error analysis of a mixed finite element method for the Cahn-Hilliard equation

Numerische Mathematik ◽

10.1007/s00211-004-0546-5 ◽

2004 ◽

Vol 99 (1) ◽

pp. 47-84 ◽

Author(s):

Xiaobing Feng ◽

Andreas Prohl

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0726049 ◽

1989 ◽

Vol 26 (4) ◽

pp. 884-903 ◽

Author(s):

Charles M. Elliott ◽

Donald A. French

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonconforming Finite Element ◽

Two Dimensional ◽

Nonconforming Finite Element Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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Crank-Nicolson/Adams-Bashforth Scheme of Mixed Finite Element Method for the Viscous Cahn-Hilliard Equation

Advances in Applied Mathematics ◽

10.12677/aam.2020.98135 ◽

2020 ◽

Vol 09 (08) ◽

pp. 1159-1169

Author(s):

钱瑞卫

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

Element Method ◽

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A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn–Hilliard Equation with Gradient-Type Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-020-01202-3 ◽

2020 ◽

Vol 83 (1) ◽

Author(s):

Xiaobing Feng ◽

Yukun Li ◽

Yi Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiplicative Noise ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fully Discrete ◽

Hilliard Equation ◽

Gradient Type ◽

Cahn Hilliard Equation ◽

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Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drv065 ◽

2015 ◽

Vol 36 (4) ◽

pp. 1867-1897 ◽

Author(s):

Amanda E. Diegel ◽

Cheng Wang ◽

Steven M. Wise

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Stability And Convergence ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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