A hybridized weak Galerkin finite element scheme for general second-order elliptic problems
DOI10.3934/era.2020042zbMath1462.65194OpenAlexW3010122676MaRDI QIDQ779901
Guanrong Li, Yanping Chen, Yunqing Huang
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020042
convergence analysisfinite element methodsdiscrete gradientgeneral second-order elliptic problemshybridized weak Galerkin
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50) Second-order elliptic equations (35J15)
Related Items (1)
Cites Work
- Unnamed Item
- A hybridized formulation for the weak Galerkin mixed finite element method
- A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
- A new weak Galerkin finite element scheme for general second-order elliptic problems
- A hybridized weak Galerkin finite element scheme for the Stokes equations
- Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
- On least energy solutions to a semilinear elliptic equation in a strip
- Two families of mixed finite elements for second order elliptic problems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations
- A weak Galerkin finite element method for second-order elliptic problems
- On the solvability conditions for the diffusion equation with convection terms
- Multiplicity results for a class of elliptic problems with nonlinear boundary condition
- Semilinear elliptic system with boundary singularity
- Concentrating solutions for an anisotropic elliptic problem with large exponent
- On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets
- Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Conditions for superconvergence of HDG methods for Stokes flow
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- The Mathematical Theory of Finite Element Methods
- A weak Galerkin finite element method for the Stokes equations
This page was built for publication: A hybridized weak Galerkin finite element scheme for general second-order elliptic problems