An A Posteriori Error Indicator for Discontinuous Galerkin Approximations of Fourth Order Elliptic Problems
We introduce a residual-based a posteriori error indicator for discontinuous Galerkin discretizations of the biharmonic equation with essential boundary conditions. We show that the indicator is both reliable and efficient with respect to the approximation error measured in terms of a natural energy...
| Main Authors: | Georgoulis, Emmanuil H., Houston, Paul, Virtanen, Juha |
|---|---|
| Format: | Article |
| Published: |
Oxford University Press
2008
|
| Online Access: | https://eprints.nottingham.ac.uk/913/ |
Similar Items
Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity
by: Georgoulis, Emmanuil H., et al.
by: Georgoulis, Emmanuil H., et al.
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
by: Houston, Paul, et al.
Published: (2006)
by: Houston, Paul, et al.
Published: (2006)
Discontinuous Galerkin Methods for the Biharmonic Problem
by: Georgoulis, Emmanuil H., et al.
by: Georgoulis, Emmanuil H., et al.
A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations
by: Houston, Paul, et al.
Published: (2005)
by: Houston, Paul, et al.
Published: (2005)
Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions
by: Zhu, Liang, et al.
Published: (2009)
by: Zhu, Liang, et al.
Published: (2009)
An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems
by: Giani, Stefano, et al.
Published: (2011)
by: Giani, Stefano, et al.
Published: (2011)
Preconditioning high-order discontinuous Galerkin discretizations of elliptic problems
by: Antonietti, Paola F., et al.
Published: (2011)
by: Antonietti, Paola F., et al.
Published: (2011)
Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
by: Georgoulis, Emmanuil H., et al.
Published: (2006)
by: Georgoulis, Emmanuil H., et al.
Published: (2006)
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
by: Georgoulis, Emmanuil H., et al.
Published: (2006)
by: Georgoulis, Emmanuil H., et al.
Published: (2006)
hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Cangiani, Andrea, et al.
Published: (2014)
by: Cangiani, Andrea, et al.
Published: (2014)
Adaptivity and A Posteriori Error Estimation For DG Methods on Anisotropic Meshes
by: Houston, Paul, et al.
Published: (2006)
by: Houston, Paul, et al.
Published: (2006)
hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
by: Cangiani, Andrea, et al.
Published: (2016)
by: Cangiani, Andrea, et al.
Published: (2016)
hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Giani, Stefano, et al.
Published: (2014)
by: Giani, Stefano, et al.
Published: (2014)
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
by: Antonietti, Paola F., et al.
Published: (2014)
by: Antonietti, Paola F., et al.
Published: (2014)
hp-Version composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Antonietti, Paola F., et al.
Published: (2013)
by: Antonietti, Paola F., et al.
Published: (2013)
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows
by: Congreve, Scott, et al.
Published: (2012)
by: Congreve, Scott, et al.
Published: (2012)
Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs
by: Congreve, Scott, et al.
by: Congreve, Scott, et al.
On the suboptimality of the p-version interior penalty
discontinuous Galerkin method
by: Georgoulis, Emmanuil H., et al.
Published: (2009)
by: Georgoulis, Emmanuil H., et al.
Published: (2009)
An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for computing band gaps in
photonic crystals
by: Giani, Stefano
Published: (2011)
by: Giani, Stefano
Published: (2011)
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems
by: Houston, Paul, et al.
Published: (2018)
by: Houston, Paul, et al.
Published: (2018)
A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems
by: Antonietti, Paola F., et al.
by: Antonietti, Paola F., et al.
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
by: Antonietti, Paola F., et al.
Published: (2015)
by: Antonietti, Paola F., et al.
Published: (2015)
Second-order elliptic PDE with discontinuous boundary data
by: Houston, Paul, et al.
Published: (2009)
by: Houston, Paul, et al.
Published: (2009)
Discontinuous Galerkin methods for problems with Dirac delta source
by: Houston, Paul, et al.
Published: (2011)
by: Houston, Paul, et al.
Published: (2011)
An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations
by: Hartmann, Ralf, et al.
by: Hartmann, Ralf, et al.
Adaptive discontinuous Galerkin methods on polytopic meshes
by: Collis, Joe, et al.
Published: (2016)
by: Collis, Joe, et al.
Published: (2016)
An hr-adaptive discontinuous Galerkin method for advection-diffusion problems
by: Antonietti, Paola F., et al.
Published: (2009)
by: Antonietti, Paola F., et al.
Published: (2009)
High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows
by: Giani, Stefano, et al.
Published: (2010)
by: Giani, Stefano, et al.
Published: (2010)
hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems
by: Hall, Edward, et al.
Published: (2017)
by: Hall, Edward, et al.
Published: (2017)
A Mixed Discontinuous Galerkin Method for Incompressible Magnetohydrodynamics
by: Houston, Paul, et al.
Published: (2008)
by: Houston, Paul, et al.
Published: (2008)
Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes
by: Buffa, Annalisa, et al.
Published: (2005)
by: Buffa, Annalisa, et al.
Published: (2005)
Automatic symbolic computation for discontinuous Galerkin finite element methods
by: Houston, Paul, et al.
Published: (2018)
by: Houston, Paul, et al.
Published: (2018)
Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows
by: Cliffe, Andrew, et al.
Published: (2008)
by: Cliffe, Andrew, et al.
Published: (2008)
Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows
by: Giani, Stefano, et al.
Published: (2014)
by: Giani, Stefano, et al.
Published: (2014)
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
by: Giani, Stefano, et al.
Published: (2014)
by: Giani, Stefano, et al.
Published: (2014)
Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem
by: Cliffe, Andrew, et al.
Published: (2010)
by: Cliffe, Andrew, et al.
Published: (2010)
Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem
by: Congreve, Scott, et al.
Published: (2018)
by: Congreve, Scott, et al.
Published: (2018)
Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method
by: Houston, Paul, et al.
Published: (2017)
by: Houston, Paul, et al.
Published: (2017)
hp-Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows
by: Cliffe, Andrew, et al.
Published: (2014)
by: Cliffe, Andrew, et al.
Published: (2014)
Anisotropic hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows
by: Giani, Stefano, et al.
Published: (2011)
by: Giani, Stefano, et al.
Published: (2011)
Similar Items
-
Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity
by: Georgoulis, Emmanuil H., et al. -
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
by: Houston, Paul, et al.
Published: (2006) -
Discontinuous Galerkin Methods for the Biharmonic Problem
by: Georgoulis, Emmanuil H., et al. -
A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations
by: Houston, Paul, et al.
Published: (2005) -
Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions
by: Zhu, Liang, et al.
Published: (2009)