An extended \(P_1\)-nonconforming finite element method on general polytopal partitions
DOI10.1016/j.cam.2020.113021zbMath1446.65175OpenAlexW3032723455MaRDI QIDQ2195907
Publication date: 28 August 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113021
error estimatesfinite element methodsweak Galerkinconvection-diffusion-reaction equations\(P_1\)-nonconforming methodpolytopal partition
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)
Cites Work
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- A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
- Mathematical aspects of discontinuous Galerkin methods.
- A robust WG finite element method for convection-diffusion-reaction equations
- An HDG method for distributed control of convection diffusion PDEs
- A systematic study on weak Galerkin finite element methods for second order elliptic problems
- Nonconforming quadrilateral finite elements: a correction
- A weak Galerkin finite element method for second-order elliptic problems
- Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
- Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions
- Simplified weak Galerkin and new finite difference schemes for the Stokes equation
- A weak Galerkin finite element method with polynomial reduction
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- The nonconforming virtual element method
- A weak Galerkin mixed finite element method for second order elliptic problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Finite Element Methods for Navier-Stokes Equations
- Simple nonconforming quadrilateral Stokes element
- The Finite Element Method with Penalty
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- A nonconforming Crouzeix-Raviart type finite element on polygonal meshes
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
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