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 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 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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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 ◽

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 ◽

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A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-017-0670-5 ◽

2017 ◽

Vol 33 (2) ◽

pp. 409-416 ◽

Author(s):

Yan-jie Zhou ◽

Fei Teng ◽

Zhen-dong Luo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method ◽

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A new mixed finite element method based on the Crank–Nicolson scheme for the parabolic problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.12.044 ◽

2012 ◽

Vol 36 (10) ◽

pp. 5068-5079 ◽

Author(s):

Zhifeng Weng ◽

Xinlong Feng ◽

Pengzhan Huang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nicolson Scheme ◽

Element Method ◽

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A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation

Applications of Mathematics ◽

10.1007/s10492-016-0120-3 ◽

2016 ◽

Vol 61 (1) ◽

pp. 27-45 ◽

Author(s):

Xiaohui Hu ◽

Pengzhan Huang ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Nicolson Scheme ◽

Element Method ◽

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Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113504 ◽

2021 ◽

Vol 393 ◽

pp. 113504

Author(s):

Eligio Colmenares ◽

Gabriel N. Gatica ◽

Willian Miranda

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Modeling and simulation of functionally graded flexoelectric micro-cylinders based on the mixed finite element method

Applied Physics A ◽

10.1007/s00339-021-04316-z ◽

2021 ◽

Vol 127 (2) ◽

Author(s):

Yicong Zheng ◽

Liangliang Chu ◽

Guansuo Dui ◽

Xiang Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Modeling And Simulation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Functionally Graded ◽

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