A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems

DOI10.1142/S0219876218500755zbMath1404.65285OpenAlexW2782024549MaRDI QIDQ4962578

Yanli Chen, Tie Zhang

Publication date: 5 November 2018

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218500755

zbMATH Keywords

a posteriori error estimatesecond-order elliptic problemweak Galerkin methoderror upper bound and lower bound

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (12)

Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem ⋮ Convergence of an adaptive modified WG method for second-order elliptic problem ⋮ Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ A Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal Mesh ⋮ Convergence and optimality of an adaptive modified weak Galerkin finite element method ⋮ An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem ⋮ Optimal error estimates of the local discontinuous Galerkin method for nonlinear second‐order elliptic problems on Cartesian grids ⋮ A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations ⋮ The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation ⋮ A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes ⋮ Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems ⋮ A Superconvergent Local Discontinuous Galerkin Method for Nonlinear Fourth-Order Boundary-Value Problems

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