A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
From MaRDI portal
Publication:474917
DOI10.1007/s10915-013-9771-3zbMath1307.65153OpenAlexW2036344137MaRDI QIDQ474917
Junping Wang, Xiu Ye, Long Chen
Publication date: 25 November 2014
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-013-9771-3
second-order elliptic problemsa posteriori error estimatediscrete weak gradientweak Galerkin finite element method
Boundary value problems for second-order elliptic equations (35J25) 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
Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem ⋮ A weak Galerkin generalized multiscale finite element method ⋮ Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form ⋮ 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 for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm ⋮ A Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal Mesh ⋮ A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations ⋮ A posteriori error estimates for the virtual element method ⋮ The dual-weighted residual estimator realized on polygonal meshes ⋮ 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 ⋮ A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations ⋮ Unnamed Item ⋮ A posteriori error analysis of the hybrid high-order method for the Stokes problem ⋮ A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems ⋮ A posteriori error estimate for a modified weak Galerkin method solving elliptic problems ⋮ The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation ⋮ Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes ⋮ Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations ⋮ A hybridized weak Galerkin finite element scheme for the Stokes equations ⋮ Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions ⋮ A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem ⋮ A weak Galerkin method with an over-relaxed stabilization for low regularity elliptic problems ⋮ A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes ⋮ A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes ⋮ A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in one dimension ⋮ A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems ⋮ A weak finite element method for elliptic problems in one space dimension ⋮ Discrete maximum principle for the weak Galerkin method on triangular and rectangular meshes ⋮ A relaxed weak Galerkin method for elliptic interface problems with low regularity ⋮ A systematic study on weak Galerkin finite element methods for second order elliptic problems ⋮ The Weak Galerkin Method for Linear Hyperbolic Equation ⋮ A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes ⋮ Lower and upper bounds of Laplacian eigenvalue problem by weak Galerkin method on triangular meshes ⋮ A weak Galerkin finite element method for Burgers' equation ⋮ An auxiliary space multigrid preconditioner for the weak Galerkin method ⋮ An analysis of the weak Galerkin finite element method for convection-diffusion equations ⋮ Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM ⋮ A weak Galerkin finite element scheme for the Cahn-Hilliard equation ⋮ Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes ⋮ Convergence of adaptive weak Galerkin finite element methods for second order elliptic problems ⋮ A new weak Galerkin finite element scheme for general second-order elliptic problems ⋮ Hybridized weak Galerkin finite element methods for Brinkman equations ⋮ A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods ⋮ A posteriori error estimate of weak Galerkin FEM for second order elliptic problem with mixed boundary condition ⋮ A two-level additive Schwarz preconditioning algorithm for the weak Galerkin method for the second-order elliptic equation ⋮ An adaptive interpolation element free Galerkin method based on a posteriori error estimation of FEM for Poisson equation ⋮ A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems ⋮ Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes ⋮ An a posteriori error estimator for the weak Galerkin least-squares finite-element method ⋮ A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes ⋮ A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems ⋮ A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems ⋮ A modified weak Galerkin finite element method for the linear elasticity problem in mixed form ⋮ A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations ⋮ Couplings of mixed finite element and weak Galerkin methods for elliptic problems
Uses Software
Cites Work
- Unnamed Item
- Weak Galerkin methods for second order elliptic interface problems
- A \(C^0\)-weak Galerkin finite element method for the biharmonic equation
- A recursive approach to local mesh refinement in two and three dimensions
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- A weak Galerkin finite element method for second-order elliptic problems
- A weak Galerkin finite element method with polynomial reduction
- Error estimators for a mixed method
- A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
- Convergence and optimality of adaptive mixed finite element methods
- A posteriori error estimate for the mixed finite element method
- Finite Element Methods for Navier-Stokes Equations
- On the poisson equation with intersecting interfaces
- A comparison of adaptive refinement techniques for elliptic problems
- On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
- A posteriori error estimators for nonconforming finite element methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
- A posteriori error estimators for elliptic equations with discontinuous coefficients
