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

Xiaobing Feng; Andreas Prohl

doi:10.1007/s00211-004-0546-5

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 ◽

Cited By ~ 87

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 ◽

Element Method

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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 ◽

Cited By ~ 2

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 ◽

Element Method

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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 ◽

Crank Nicolson

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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 ◽

Element Method

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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 ◽

Cited By ~ 40

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 ◽

Element Method

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A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0753-3 ◽

2018 ◽

Vol 77 (2) ◽

pp. 1234-1249 ◽

Cited By ~ 3

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 ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

Element Method

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Error analysis of mixed finite element method for Poisson-Nernst-Planck system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22170 ◽

2017 ◽

Vol 33 (6) ◽

pp. 1924-1948 ◽

Cited By ~ 4

Author(s):

Mingyan He ◽

Pengtao Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Error analysis of a mixed finite element method for a Cahn–Hilliard–Hele–Shaw system

Numerische Mathematik ◽

10.1007/s00211-016-0813-2 ◽

2016 ◽

Vol 135 (3) ◽

pp. 679-709 ◽

Cited By ~ 19

Author(s):

Yuan Liu ◽

Wenbin Chen ◽

Cheng Wang ◽

Steven M. Wise

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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A new error analysis of a mixed finite element method for the quad-curl problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.027 ◽

2019 ◽

Vol 349 ◽

pp. 23-38 ◽

Cited By ~ 3

Author(s):

Chao Wang ◽

Zhengjia Sun ◽

Jintao Cui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model

SIAM Journal on Numerical Analysis ◽

10.1137/120902410 ◽

2015 ◽

Vol 53 (1) ◽

pp. 184-205 ◽

Cited By ~ 6

Author(s):

Zhonghua Qiao ◽

Tao Tang ◽

Hehu Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Molecular Beam Epitaxy ◽

Error Analysis ◽

Molecular Beam ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Local H1-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.12.004 ◽

2022 ◽

Vol 173 ◽

pp. 211-221

Author(s):

Chaobao Huang ◽

Na An ◽

Hu Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Biharmonic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Norm Error ◽

Element Method

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