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

Susanne C. Brenner; Amanda E. Diegel; Li-Yeng Sung

doi:10.1007/s10915-018-0753-3

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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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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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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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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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 ◽

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 ◽

Element Method

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A Collocation Mixed Finite Element Method for the Analysis of Flexoelectric Solids

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.01.031 ◽

2021 ◽

Author(s):

Xinpeng Tian ◽

Jan Sladek ◽

Vladimir Sladek ◽

Qian Deng ◽

Qun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Cited By ~ 13

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

Element Method

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A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing ◽

10.1137/100790689 ◽

2011 ◽

Vol 33 (3) ◽

pp. 1439-1474 ◽

Cited By ~ 11

Author(s):

Benjamin Ganis ◽

Ivan Yotov ◽

Ming Zhong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Flow In Porous Media ◽

Rock Types ◽

Element Method

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