Effective implementation of the weak Galerkin finite element methods for the biharmonic equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.06.002 ◽

2017 ◽

Vol 74 (6) ◽

pp. 1215-1222 ◽

Author(s):

Lin Mu ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Biharmonic Equation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Effective Implementation ◽

Galerkin Finite Element Methods

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Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21855 ◽

2014 ◽

Vol 30 (3) ◽

pp. 1003-1029 ◽

Author(s):

Lin Mu ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Biharmonic Equation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Polytopal Meshes

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An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.03.021 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2314-2330 ◽

Author(s):

Chunmei Wang ◽

Junping Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Biharmonic Equation ◽

Numerical Scheme ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Polyhedral Meshes ◽

Galerkin Finite Element Methods

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Lowest-Order Weak Galerkin Finite Element Methods for Linear Elasticity on Rectangular and Brick Meshes

Journal of Scientific Computing ◽

10.1007/s10915-018-0837-0 ◽

2018 ◽

Vol 78 (3) ◽

pp. 1917-1941 ◽

Author(s):

Graham Harper ◽

Jiangguo Liu ◽

Simon Tavener ◽

Bin Zheng

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Linear Elasticity ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.003 ◽

2021 ◽

Vol 162 ◽

pp. 81-105

Author(s):

Bhupen Deka ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods

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$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0020 ◽

2021 ◽

Vol 13 (3) ◽

pp. 554-568

Author(s):

global sci

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order Convergence ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Equations

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Weak Galerkin finite element methods for a fourth order parabolic equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22373 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1745-1755 ◽

Author(s):

Shimin Chai ◽

Yongkui Zou ◽

Chenguang Zhou ◽

Wenju Zhao

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Fourth Order ◽

Finite Element Methods ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation ◽

Galerkin Finite Element Methods

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Primal–dual weak Galerkin finite element methods for elliptic Cauchy problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.031 ◽

2020 ◽

Vol 79 (3) ◽

pp. 746-763 ◽

Author(s):

Chunmei Wang ◽

Junping Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Cauchy Problems ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Primal Dual ◽

Galerkin Finite Element Methods

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A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-013-9771-3 ◽

2013 ◽

Vol 59 (2) ◽

pp. 496-511 ◽

Author(s):

Long Chen ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media

Journal of Scientific Computing ◽

10.1007/s10915-018-0673-2 ◽

2018 ◽

Vol 76 (2) ◽

pp. 1274-1300 ◽

Author(s):

Gang Wang ◽

Yinnian He ◽

Jinjin Yang

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Single Phase ◽

Fractured Porous Media ◽

Single Phase Flow ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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