A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

Authors:
Ohannes A. Karakashian;Frederic Pascal
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2003

Citing 0
Cited 29

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation

Journal of Scientific Computing
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem

Journal of Scientific Computing
A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics

Journal of Computational Physics
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation

Journal of Scientific Computing
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the stokes problem

Journal of Scientific Computing
A posteriori error estimators for locally conservative methods of nonlinear elliptic problems

Applied Numerical Mathematics
Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

Journal of Computational and Applied Mathematics
Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems

Journal of Computational and Applied Mathematics
On L2-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data

Journal of Computational and Applied Mathematics
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection--diffusion equations

Applied Numerical Mathematics
A Posteriori Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method

Journal of Scientific Computing
A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Journal of Scientific Computing
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

Journal of Computational and Applied Mathematics
A framework for obtaining guaranteed error bounds for finite element approximations

Journal of Computational and Applied Mathematics
A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods

Journal of Computational and Applied Mathematics
A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem

Journal of Computational and Applied Mathematics
Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems

Calcolo: a quarterly on numerical analysis and theory of computation
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation

SIAM Journal on Numerical Analysis
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method

SIAM Journal on Numerical Analysis
A posteriori estimates for the Bubble Stabilized Discontinuous Galerkin Method

Journal of Computational and Applied Mathematics
A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems

Computers & Mathematics with Applications
Two-Grid Discontinuous Galerkin Method for Quasi-Linear Elliptic Problems

Journal of Scientific Computing
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems

SIAM Journal on Numerical Analysis
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

SIAM Journal on Numerical Analysis
A Posteriori Error Estimates for HDG Methods

Journal of Scientific Computing
Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity

Journal of Computational and Applied Mathematics
Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation

Applied Numerical Mathematics
A Posteriori Error Estimates of Discontinuous Galerkin Method for Nonmonotone Quasi-linear Elliptic Problems

Journal of Scientific Computing
An a-posteriori error estimate for hp-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.02

Visualization

Abstract

Several a posteriori error estimators are introduced and analyzed for a discontinuous Galerkin formulation of a model second-order elliptic problem. In addition to residual-type estimators, we introduce some estimators that are couched in the ideas and techniques of domain decomposition. Results of numerical experiments are presented.