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 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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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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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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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 ◽

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2017.56109 ◽

2017 ◽

Vol 05 (06) ◽

pp. 1301-1319

Author(s):

Tongjun Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations ◽

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On the application of mixed finite element method for a strongly nonlinear second-order hyperbolic equation

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf03008933 ◽

1998 ◽

Vol 5 (1) ◽

pp. 23-39

Author(s):

Ziwen Jiang ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hyperbolic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Strongly Nonlinear ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation ◽

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Superconvergence analysis of least-squares mixed finite element method for second-order non-self-adjoint two-point boundary value problems

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199811)14:11<1027::aid-cnm206>3.0.co;2-c ◽

1998 ◽

Vol 14 (11) ◽

pp. 1027-1037

Author(s):

Chunjia Bi ◽

Likang Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Boundary Value Problems ◽

Mixed Finite Element ◽

Boundary Value ◽

Mixed Finite Element Method ◽

Second Order ◽

Point Boundary ◽

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Expanded mixed finite element method for second order hyperbolic equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.061 ◽

2019 ◽

Vol 78 (8) ◽

pp. 2560-2574

Author(s):

Keyan Wang ◽

Qisheng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hyperbolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Expanded Mixed Finite Element ◽

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