[HTML][HTML] Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes
L Mu - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, we present a posteriori error estimate of weak Galerkin (WG) finite element
methods based on the second order elliptic interface problems. This estimate can be applied …
methods based on the second order elliptic interface problems. This estimate can be applied …
A fully computable a posteriori error estimate for the Stokes equations on polytopal meshes
In this paper, we present a simple a posteriori error estimate for the weak Galerkin finite
element method for the Stokes equation. This residual type estimator can be applied to …
element method for the Stokes equation. This residual type estimator can be applied to …
A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes
S Xu - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, a posteriori error estimates for the Weak Galerkin finite element methods (WG-
FEMs) for second order elliptic problems are derived in terms of an H 1− equivalent energy …
FEMs) for second order elliptic problems are derived in terms of an H 1− equivalent energy …
A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems
Y Liu, G Wang, M Wu, Y Nie - Journal of Computational and Applied …, 2022 - Elsevier
In this paper, we propose a recovery-type a posteriori error estimator of the weak Galerkin
finite element method for the second order elliptic equation. The reliability and efficiency of …
finite element method for the second order elliptic equation. The reliability and efficiency of …
A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations
L Chen, J Dai, Y Wen - Applied Numerical Mathematics, 2023 - Elsevier
In this paper, we investigate the residual-based a posteriori error estimates of two-grid weak
Galerkin (WG) methods for second order semilinear elliptic partial differential equations …
Galerkin (WG) methods for second order semilinear elliptic partial differential equations …
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes
We present a new residual-type energy-norm a posteriori error analysis for interior penalty
discontinuous Galerkin (dG) methods for linear elliptic problems. The new error bounds are …
discontinuous Galerkin (dG) methods for linear elliptic problems. The new error bounds are …
Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems
Y Xie, L Zhong - Journal of Scientific Computing, 2021 - Springer
We consider a standard Adaptive weak Galerkin (AWG) finite element method for second
order elliptic problems. We prove that the sum of the energy error and the scaled error …
order elliptic problems. We prove that the sum of the energy error and the scaled error …
Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem
N Sharma - Applied Numerical Mathematics, 2021 - Elsevier
We present a robust a posteriori error estimator for a weak Galerkin finite element method
applied to stationary convection-diffusion equations in the convection-dominated regime …
applied to stationary convection-diffusion equations in the convection-dominated regime …
[HTML][HTML] A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes
L Mu - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, we present a posteriori error estimate of a new weak Galerkin (WG) finite
element method for the second order elliptic interface problems. Instead of introducing the …
element method for the second order elliptic interface problems. Instead of introducing the …
Convergence of an adaptive modified WG method for second-order elliptic problem
Y Xie, L Zhong, Y Zeng - Numerical Algorithms, 2022 - Springer
In this paper, an adaptive modified weak Galerkin (AMWG) method is considered to solve
second-order elliptic problem. Under the assumption of a penalty parameter, by showing …
second-order elliptic problem. Under the assumption of a penalty parameter, by showing …