A stabilizer free weak Galerkin finite element method with supercloseness of order two-Reference-Cited by-同舟云学术

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A stabilizer free weak Galerkin finite element method with supercloseness of order two

Published:2020-10-09 Issue:2 Volume:37 Page:1012-1029
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Al‐Taweel Ahmed¹^ORCID,Wang Xiaoshen²,Ye Xiu²,Zhang Shangyou³^ORCID

Affiliation:

1. Department of Mathematics and Statistics University of Arkansas at Little Rock Little Rock Arkansas USA

2. Department of Mathematics University of Arkansas at Little Rock Little Rock Arkansas USA

3. Department of Mathematical Sciences University of Delaware Newark Delaware USA

Funder

The National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22564

Reference17 articles.

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

2. A weak Galerkin mixed finite element method for second order elliptic problems

3. A weak Galerkin finite element method for the Navier–Stokes equations

4. Weak Galerkin finite element methods for Darcy flow: Anisotropy and heterogeneity

5. A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems

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1. Virtual Element Methods Without Extrinsic Stabilization;SIAM Journal on Numerical Analysis;2024-02-20

2. Supercloseness of weak Galerkin method for a singularly perturbed convection–diffusion problem in 2D;Journal of Computational and Applied Mathematics;2024-01

3. A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids;Electronic Research Archive;2024

4. Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations;Advances in Computational Mathematics;2023-12-22

5. Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes;Communications on Applied Mathematics and Computation;2023-12-13

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