Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes

QR Code

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes

In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp-version symmetric interior penalty discontinuous Galerkin discretizations of second-order elliptic partial differential equation...

Full description

Bibliographic Details
Main Authors:	Antonietti, P. F., Houston, P., Hu, X., Sarti, M., Verani, M.
Format:	Article
Published:	Springer Verlag 2017
Subjects:	hp-discontinuous Galerkin methods Polygonal/polyhedral grids Two-level and multigrid algorithms
Online Access:	https://eprints.nottingham.ac.uk/29674/

Similar Items

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

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

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)

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

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

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

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

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

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)

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

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

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 quasilinear PDEs
by: Congreve, Scott
Published: (2014)

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

On the suboptimality of the p-version interior penalty discontinuous Galerkin method
by: Georgoulis, Emmanuil H., et al.
Published: (2009)

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

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

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
by: Georgoulis, Emmanuil H., et al.
Published: (2006)

A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
by: Houston, Paul, et al.
Published: (2005)

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

Modeling 2D swash zone hydro/morphodynamics using discontinuous Galerkin finite element method
by: Aboulatta, Waddaa
Published: (2020)

An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations
by: Hartmann, Ralf, et al.

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

Pencirian pokok poligon = (A characterization of polygon tree).
by: Peng, Yee-Hock
Published: (1990)

Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration
by: Congreve, Scott, et al.
Published: (2013)

Discontinuous Galerkin Methods for the Linear Boltzmann Transport Equation
by: Radley, Thomas
Published: (2023)

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
by: Brabazon, Keeran J., et al.
Published: (2014)

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
by: Hartmann, Ralf, et al.
Published: (2005)

A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods
by: Antonietti, Paola F., et al.
Published: (2009)

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

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation
by: Hartmann, Ralf, et al.
Published: (2005)

Discontinuous Galerkin FEMs for Radiation Transport Problems
by: Widdowson, Richard
Published: (2023)

Small polygons and toric codes
by: Brown, Gavin, et al.
Published: (2013)

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

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

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

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)

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

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