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

Graham Harper; Jiangguo Liu; Simon Tavener; Bin Zheng

doi:10.1007/s10915-018-0837-0

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 ◽

Cited By ~ 4

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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 1

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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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 ◽

Cited By ~ 5

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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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 ◽

Cited By ~ 32

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 ◽

Cited By ~ 1

Author(s):

Gang Wang ◽

Yinnian He ◽

Jinjin Yang

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Single Phase ◽

Fractured Porous Media ◽

Phase Flow ◽

Single Phase Flow ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0115 ◽

2019 ◽

Vol 11 (2) ◽

pp. 360-380

Author(s):

Xiuli Wang

Keyword(s):

Finite Element ◽

Incompressible Fluid ◽

Finite Element Methods ◽

Fluid Model ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Weak Galerkin finite element methods for elliptic PDEs

Scientia Sinica Mathematica ◽

10.1360/n012014-00233 ◽

2015 ◽

Vol 45 (7) ◽

pp. 1061-1092 ◽

Cited By ~ 6

Author(s):

ChunMei WANG ◽

JunPing WANG

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Pdes ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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