A weak Galerkin finite element method for the stokes equations

Article Properties
Cite
Wang, Junping, and Xiu Ye. “A Weak Galerkin Finite Element Method for the Stokes Equations”. Advances in Computational Mathematics, vol. 42, no. 1, 2015, pp. 155-74, https://doi.org/10.1007/s10444-015-9415-2.
Wang, J., & Ye, X. (2015). A weak Galerkin finite element method for the stokes equations. Advances in Computational Mathematics, 42(1), 155-174. https://doi.org/10.1007/s10444-015-9415-2
Wang, Junping, and Xiu Ye. “A Weak Galerkin Finite Element Method for the Stokes Equations”. Advances in Computational Mathematics 42, no. 1 (2015): 155-74. https://doi.org/10.1007/s10444-015-9415-2.
Wang J, Ye X. A weak Galerkin finite element method for the stokes equations. Advances in Computational Mathematics. 2015;42(1):155-74.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
10.1090/S0025-5718-2014-02852-4 Mathematics of Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2014
10.1142/S0218202512500492 2013
10.1090/S0025-5718-2010-02410-X 2011
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 225 2005
A weak Galerkin finite element method for second-order elliptic problems Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 410 2013
Refrences Analysis
Category Category Repetition
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods3
Science: Mathematics3
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 3 is the most frequently represented among the references in this article. It primarily includes studies from SIAM Journal on Numerical Analysis and Mathematics of Computation. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes

 Numerical Methods for Partial Differential Equations
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General)
 2024
Optimal convergence analysis of weak Galerkin finite element methods for parabolic equations with lower regularity Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A weak Galerkin method for the nonlinear Navier–Stokes problem Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A weak Galerkin finite element method for nonlinear convection-diffusion equation Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Numerical solutions for Biharmonic interface problems via weak Galerkin finite element methods Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Citations Analysis
Category Category Repetition
Science: Mathematics140
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods130
Technology: Engineering (General). Civil engineering (General)39
Science: Mathematics: Instruments and machines: Electronic computers. Computer science8
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics6
Technology: Mechanical engineering and machinery5
Science: Physics5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software3
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases2
Naval Science1
Technology: Ocean engineering1
Geography. Anthropology. Recreation: Oceanography1
Technology: Building construction1
Technology: Building construction: Architectural engineering. Structural engineering of buildings1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Science: Geology1
Technology: Mining engineering. Metallurgy1
Science: Physics: Acoustics. Sound1
The category Science: Mathematics 140 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The NonConforming Virtual Element Method for the Stokes Equations and was published in 2016. The most recent citation comes from a 2024 study titled Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term. This article reached its peak citation in 2022, with 26 citations. It has been cited in 46 different journals, 2% of which are open access. Among related journals, the Journal of Computational and Applied Mathematics cited this research the most, with 33 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year