A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods

QR Code

A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods

In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomp...

Full description

Bibliographic Details
Main Authors:	Antonietti, Paola F., Houston, Paul
Format:	Article
Published:	Springer Netherlands 2009
Online Access:	https://eprints.nottingham.ac.uk/1194/

Similar Items

A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods
by: Antonietti, Paola F., et al.
Published: (2015)

Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
by: Antonietti, Paola F., et al.
Published: (2014)

Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows
by: Giani, Stefano, et al.
Published: (2014)

hp-Version composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Antonietti, Paola F., et al.
Published: (2013)

Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods
by: Antonietti, Paola F., et al.
Published: (2007)

Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
by: Antonietti, Paola F., et al.
Published: (2015)

Anisotropic hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows
by: Giani, Stefano, et al.
Published: (2011)

High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows
by: Giani, Stefano, et al.
Published: (2010)

hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Giani, Stefano, et al.
Published: (2014)

Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2014)

An hr-adaptive discontinuous Galerkin method for advection-diffusion problems
by: Antonietti, Paola F., et al.
Published: (2009)

hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2013)

Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs
by: Congreve, Scott, et al.

An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems
by: Houston, Paul, et al.
Published: (2018)

Preconditioning high-order discontinuous Galerkin discretizations of elliptic problems
by: Antonietti, Paola F., et al.
Published: (2011)

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Cangiani, Andrea, et al.
Published: (2014)

Automatic symbolic computation for discontinuous Galerkin finite element methods
by: Houston, Paul, et al.
Published: (2018)

hp-Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows
by: Cliffe, Andrew, et al.
Published: (2014)

hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems
by: Hall, Edward, et al.
Published: (2017)

Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear PDEs
by: Congreve, Scott
Published: (2014)

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)

A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems
by: Antonietti, Paola F., et al.

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Antonietti, P. F., et al.
Published: (2017)

Application of hp-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows
by: Cliffe, Andrew, et al.
Published: (2013)

Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method
by: Houston, Paul, et al.
Published: (2017)

Adaptive refinement for hp-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem
by: Congreve, Scott, et al.
Published: (2018)

Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
by: Georgoulis, Emmanuil H., et al.
Published: (2006)

hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
by: Cangiani, Andrea, et al.
Published: (2016)

Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity
by: Georgoulis, Emmanuil H., et al.

Discontinuous Galerkin Methods for the Biharmonic Problem
by: Georgoulis, Emmanuil H., et al.

Adaptive discontinuous Galerkin methods on polytopic meshes
by: Collis, Joe, et al.
Published: (2016)

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)

Adaptive energy minimisation for hp-finite element methods
by: Houston, Paul, et al.
Published: (2016)

Discontinuous Galerkin methods for problems with Dirac delta source
by: Houston, Paul, et al.
Published: (2011)

A Mixed Discontinuous Galerkin Method for Incompressible Magnetohydrodynamics
by: Houston, Paul, et al.
Published: (2008)

Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
by: Giani, Stefano, et al.
Published: (2014)

An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems
by: Giani, Stefano, et al.
Published: (2011)

Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows
by: Congreve, Scott, et al.
Published: (2012)

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes
by: Buffa, Annalisa, et al.
Published: (2005)

Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows
by: Cliffe, Andrew, et al.
Published: (2008)