Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method
From MaRDI portal
Publication:729300
DOI10.1016/j.jcp.2015.07.036zbMath1352.65552OpenAlexW1002850520MaRDI QIDQ729300
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.036
Related Items (4)
Polynomial preserving recovery on boundary ⋮ A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type ⋮ A hybrid high-order method for a class of strongly nonlinear elliptic boundary value problems ⋮ A high-order symmetric interior penalty discontinuous Galerkin scheme to simulate vortex dominated incompressible fluid flow
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems
- Higher order weakly over-penalized symmetric interior penalty methods
- Two-grid discontinuous Galerkin method for quasi-linear elliptic problems
- Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods
- Interior penalty DG methods for Maxwell's equations in dispersive media
- A weakly over-penalized symmetric interior penalty method
- An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
- Superconvergence in Galerkin finite element methods
- Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form
- Fully discrete interior penalty discontinuous Galerkin methods for nonlinear parabolic equations
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Polynomial preserving recovery for meshes from Delaunay triangulation or with high aspect ratio
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
- Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
- A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
- A simple error estimator and adaptive procedure for practical engineerng analysis
- An Interior Penalty Finite Element Method with Discontinuous Elements
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- A Simple Mesh Generator in MATLAB
- Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
- Superconvergence for the Gradient of Finite Element Approximations byL2Projections
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- Discontinuous Galerkin Methods for Quasi‐Linear Elliptic Problems of Nonmonotone Type
- The generalized finite element method
This page was built for publication: Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method