A WEAK GALERKIN METHOD FOR SECOND ORDER ELLIPTIC PROBLEMS WITH POLYNOMIAL REDUCTION

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20180137 ◽

2019 ◽

Vol 9 (2) ◽

pp. 655-670

Author(s):

Nolisa Malluwawadu ◽

◽

Saqib Hussain ◽

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Polynomial Reduction ◽

Second Order Elliptic Problems

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An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1705-m2016-0744 ◽

2018 ◽

Vol 36 (6) ◽

pp. 866-880 ◽

Author(s):

Kaifang Liu

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Second Order Elliptic Problems

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A new over-penalized weak galerkin method. Part Ⅰ: Second-order elliptic problems

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020184 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Kaifang Liu ◽

◽

Lunji Song ◽

Shan Zhao ◽

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Second Order Elliptic Problems

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-08-02123-6 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1887-1916 ◽

Author(s):

Bernardo Cockburn ◽

Bo Dong ◽

Johnny Guzmán

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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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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A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.09.036 ◽

2015 ◽

Vol 292 ◽

pp. 243-256 ◽

Author(s):

Yalchin Efendiev ◽

Raytcho Lazarov ◽

Minam Moon ◽

Ke Shi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method ◽

Second Order Elliptic Problems

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A weak Galerkin finite element method for second-order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.10.003 ◽

2013 ◽

Vol 241 ◽

pp. 103-115 ◽

Author(s):

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Problems ◽

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A Discontinuous Petrov--Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903427871 ◽

2005 ◽

Vol 43 (1) ◽

pp. 280-302 ◽

Author(s):

Paola Causin ◽

Riccardo Sacco

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Lagrangian Multipliers ◽

Second Order Elliptic Problems

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Superconvergence of a modified weak Galerkin approximation for second order elliptic problems by L2 projection method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.06.035 ◽

2019 ◽

Vol 346 ◽

pp. 53-62 ◽

Author(s):

Betul Bogrek ◽

Xiaoshen Wang

Keyword(s):

Projection Method ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Second Order Elliptic Problems

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