Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D

Singular perturbations in context of PDEs (35B25) 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)

Cites Work

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A weak Galerkin finite element scheme for solving the stationary Stokes equations
A $C^{1}$-conforming $hp$ finite element method for fourth order singularly perturbed boundary value problems
The weak Galerkin method for solving the incompressible Brinkman flow
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
A new robust $C^{0}$-type nonconforming triangular element for singular perturbation problems
A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem
A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
A weak Galerkin finite element method for the Maxwell equations
Discrete maximum principle for the $P_{1}$-$P_{0}$ weak Galerkin finite element approximations
An $hp$ finite element method for a 4th order singularly perturbed boundary value problem in two dimensions
Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem
A lowest-order weak Galerkin method for linear elasticity
The weak Galerkin finite element method for incompressible flow
A weak Galerkin finite element method for second-order elliptic problems
Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes
Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions
An auxiliary space multigrid preconditioner for the weak Galerkin method
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems
Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator
Uniform convergence of a weak Galerkin finite element method on Shishkin mesh for singularly perturbed convection-diffusion problems in 2D
A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem
On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation
A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes
Uniform convergence of a weak Galerkin method for singularly perturbed convection-diffusion problems
A robust nonconforming $H^2$-element
A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation
Robust Numerical Methods for Singularly Perturbed Differential Equations
Supercloseness analysis and polynomial preserving Recovery for a class of weak Galerkin Methods
Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
Uniformly convergent C⁰‐nonconforming triangular prism element for fourth‐order elliptic singular perturbation problem
A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem
Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems
A New Weak Galerkin Finite Element Scheme for the Brinkman Model
A C⁰ interior penalty method for a singularly‐perturbed fourth‐order elliptic problem on a layer‐adapted mesh
A weak Galerkin finite element method for the Navier-Stokes equations
A weak Galerkin finite element method for the Navier-Stokes equations
A weak Galerkin finite element method for the Stokes equations
An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems

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