A weak Galerkin finite element scheme for the Cahn-Hilliard equation

Mathematics of Computation ◽

10.1090/mcom/3369 ◽

2018 ◽

Vol 88 (315) ◽

pp. 211-235 ◽

Author(s):

Junping Wang ◽

Qilong Zhai ◽

Ran Zhang ◽

Shangyou Zhang

Keyword(s):

Finite Element ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions†

Communications in Computational Physics ◽

10.4208/cicp.2019.js60.14 ◽

2019 ◽

Vol 26 (5) ◽

pp. 1490-1509

Author(s):

Na Li

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Dynamic Boundary Conditions ◽

Finite Element Scheme ◽

Element Scheme ◽

Hilliard Equation ◽

Dynamic Boundary ◽

Cahn Hilliard Equation ◽

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A new $$P_0$$ weak Galerkin finite element scheme for second-order problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01521-7 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

AllahBakhsh Yazdani Charati ◽

Hamid Momeni ◽

Mohammed S. Cheichan

Keyword(s):

Finite Element ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

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Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient

Journal of Applied Mathematics and Computing ◽

10.1007/bf02935813 ◽

2005 ◽

Vol 19 (1-2) ◽

pp. 385-395 ◽

Author(s):

S. M. Choo ◽

Y. H. Kim

Keyword(s):

Finite Element ◽

Finite Element Scheme ◽

Element Scheme ◽

Hilliard Equation ◽

Gradient Energy ◽

Energy Coefficient ◽

Cahn Hilliard Equation

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A hybridized weak Galerkin finite element scheme for the Stokes equations

Science China Mathematics ◽

10.1007/s11425-015-5030-4 ◽

2015 ◽

Vol 58 (11) ◽

pp. 2455-2472 ◽

Author(s):

QiLong Zhai ◽

Ran Zhang ◽

XiaoShen Wang

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

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A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.009 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2243-2252 ◽

Author(s):

Qilong Zhai ◽

Xiu Ye ◽

Ruishu Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Second Order Elliptic Problems

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A new weak Galerkin finite element scheme for general second-order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.021 ◽

2018 ◽

Vol 344 ◽

pp. 701-715 ◽

Author(s):

Guanrong Li ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Second Order Elliptic Problems

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A weak Galerkin finite element scheme for solving the stationary Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.01.025 ◽

2016 ◽

Vol 302 ◽

pp. 171-185 ◽

Author(s):

Ruishu Wang ◽

Xiaoshen Wang ◽

Qilong Zhai ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

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A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.01.021 ◽

2018 ◽

Vol 329 ◽

pp. 268-279 ◽

Author(s):

Tian Tian ◽

Qilong Zhai ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

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A hybridized weak Galerkin finite element scheme for general second-order elliptic problems

Electronic Research Archive ◽

10.3934/era.2020042 ◽

2020 ◽

Vol 28 (2) ◽

pp. 821-836

Author(s):

Guanrong Li ◽

◽

Yanping Chen ◽

Yunqing Huang ◽

◽

...

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Second Order Elliptic Problems

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A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order

Journal of Scientific Computing ◽

10.1007/s10915-014-9945-7 ◽

2014 ◽

Vol 64 (2) ◽

pp. 559-585 ◽

Author(s):

Ran Zhang ◽

Qilong Zhai

Keyword(s):

Finite Element ◽

Weak Galerkin ◽

Finite Element Scheme ◽

Biharmonic Equations ◽

Reduced Order ◽

Galerkin Finite Element ◽

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