Weak Galerkin finite element method for Poisson’s equation on polytopal meshes with small edges or faces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112584 ◽

2020 ◽

Vol 368 ◽

pp. 112584

Author(s):

Qingguang Guan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Poisson’S Equation ◽

Galerkin Finite Element Method ◽

Poisson's Equation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Polytopal Meshes ◽

Element Method

Get full-text (via PubEx)

A stabilizer-free weak Galerkin finite element method on polytopal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112699 ◽

2020 ◽

Vol 371 ◽

pp. 112699 ◽

Cited By ~ 3

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Polytopal Meshes ◽

Element Method

Get full-text (via PubEx)

A weak Galerkin finite element method based on H(div) virtual element for Darcy flow on polytopal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113677 ◽

2021 ◽

pp. 113677

Author(s):

Gang Wang ◽

Ying Wang ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Darcy Flow ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Virtual Element ◽

Polytopal Meshes ◽

Element Method

Get full-text (via PubEx)

A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00071-9 ◽

2020 ◽

Author(s):

Ming Cui ◽

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Biharmonic Equation ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Polytopal Meshes ◽

Element Method

Get full-text (via PubEx)

A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113525 ◽

2021 ◽

Vol 394 ◽

pp. 113525

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

Get full-text (via PubEx)

A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1)

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1706844 ◽

2020 ◽

Vol 23 (4) ◽

pp. 777-790

Author(s):

Ahmed Jabbar Hussein ◽

Hashim A. Kashkool

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Coupled Burgers Equation ◽

Element Method

Get full-text (via PubEx)

Weak Galerkin finite element method with second-order accuracy in time for parabolic problems

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.023 ◽

2019 ◽

Vol 90 ◽

pp. 118-123 ◽

Cited By ~ 4

Author(s):

Shiping Zhou ◽

Fuzheng Gao ◽

Benxing Li ◽

Zhengjia Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Order Accuracy ◽

Galerkin Finite Element ◽

Element Method

Get full-text (via PubEx)

A Modified Weak Galerkin Finite Element Method for Sobolev Equation

Journal of Computational Mathematics ◽

10.4208/jcm.1502-m4509 ◽

2015 ◽

Vol 33 (3) ◽

pp. 307-322 ◽

Cited By ~ 5

Author(s):

Fuzheng Gao and Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Sobolev Equation ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

Get full-text (via PubEx)

A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0021 ◽

2019 ◽

Vol 12 (4) ◽

pp. 1012-1038 ◽

Cited By ~ 1

Author(s):

global sci

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

Get full-text (via PubEx)

A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0267 ◽

2018 ◽

Vol 23 (3) ◽

Cited By ~ 2

Author(s):

Jiachuan Zhang ◽

Kai Zhang ◽

Jingzhi Li ◽

Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Element Method

Get full-text (via PubEx)

An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22473 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1280-1303

Author(s):

Jiachuan Zhang ◽

Jingshi Li ◽

Jingzhi Li ◽

Kai Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Hierarchical Bases ◽

Element Method

Get full-text (via PubEx)