Error analysis of weak Galerkin finite element methods for time-dependent convection–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.12.005 ◽

2019 ◽

Vol 137 ◽

pp. 19-33 ◽

Cited By ~ 2

Author(s):

Shenglan Xie ◽

Peng Zhu ◽

Xiaoshen Wang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Time Dependent ◽

Diffusion Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Galerkin Finite Element Methods

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Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113543 ◽

2021 ◽

pp. 113543

Author(s):

Chunmei Wang ◽

Ludmil Zikatanov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Diffusion Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Convection Diffusion ◽

Primal Dual ◽

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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New primal-dual weak Galerkin finite element methods for convection-diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.012 ◽

2021 ◽

Vol 162 ◽

pp. 171-191

Author(s):

Waixiang Cao ◽

Chunmei Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Primal Dual ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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A modified weak Galerkin finite element methods for convection–diffusion problems in 2D

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-014-0850-x ◽

2014 ◽

Vol 49 (1-2) ◽

pp. 493-511 ◽

Cited By ~ 8

Author(s):

Fuzheng Gao ◽

Xiaoshen Wang ◽

Lin Mu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.847929 ◽

2013 ◽

Vol 91 (7) ◽

pp. 1507-1515

Author(s):

Chaoxia Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Ginzburg Landau ◽

Galerkin Finite Element ◽

Temporal Gauge ◽

Backward Euler ◽

Galerkin Finite Element Methods ◽

Ginzburg Landau Equations

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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 ◽

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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Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_99 ◽

2010 ◽

pp. 921-928

Author(s):

Miloslav Vlasák ◽

Vít Dolejší

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Diffusion 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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