Superconvergence of weak Galerkin finite element approximation for second order elliptic problems by \( L^2\)-projections

DOI10.1016/j.amc.2013.11.065zbMath1364.65249OpenAlexW2048180566MaRDI QIDQ2396501

Anna Harris, Stephen Harris

Publication date: 8 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.065

zbMATH Keywords

superconvergenceweak Galerkin finite element methodssecond order elliptic equation\(L^2\) projection

Mathematics Subject Classification ID

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)

Related Items (11)

Superconvergence of a modified weak Galerkin approximation for second order elliptic problems by \(L^2\) projection method ⋮ Supercloseness and postprocessing of stabilizer-free weak Galerkin finite element approximations for parabolic problems ⋮ Supercloseness analysis and polynomial preserving Recovery for a class of weak Galerkin Methods ⋮ Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions ⋮ A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in one dimension ⋮ A weak finite element method for elliptic problems in one space dimension ⋮ A weak Galerkin finite element method for Burgers' equation ⋮ An analysis of the weak Galerkin finite element method for convection-diffusion equations ⋮ Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions ⋮ Superconvergent weak Galerkin methods for non-self adjoint and indefinite elliptic problems ⋮ Polynomial preserving recovery for a class of weak Galerkin finite element methods

Cites Work

• Superconvergence in Galerkin finite element methods
• A weak Galerkin finite element method for second-order elliptic problems
• Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. II
• A weak Galerkin finite element method with polynomial reduction
• A weak Galerkin mixed finite element method for second order elliptic problems
• Some Estimates for a Weighted L 2 Projection
• Superconvergence of the gradient for quadratic triangular finite elements
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
• Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
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