Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1549074 ◽

2019 ◽

Vol 40 (3) ◽

pp. 259-279 ◽

Author(s):

Bhupen Deka ◽

Papri Roy

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Jump Conditions ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.007 ◽

2019 ◽

Vol 362 ◽

pp. 423-442

Author(s):

Lin Mu

Keyword(s):

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

A Priori ◽

Interface Problems ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Elliptic Interface Problems ◽

Galerkin Finite Element Methods ◽

A Posterior Error

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WEAK GALERKIN FINITE ELEMENT METHODS COMBINED WITH CRANK-NICOLSON SCHEME FOR PARABOLIC INTERFACE PROBLEMS

Journal of Applied Analysis & Computation ◽

10.11948/20190218 ◽

2020 ◽

Vol 10 (4) ◽

pp. 1433-1442

Author(s):

Bhupen Deka ◽

◽

Papri Roy ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Nicolson Scheme ◽

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Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22446 ◽

2019 ◽

Vol 36 (4) ◽

pp. 734-755

Author(s):

Bhupen Deka ◽

Papri Roy

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Model ◽

Jump Conditions ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

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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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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