Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm
We investigate the application of the discontinuous Petrov-Galerkin (DPG) finite element framework to stationary convection-diffusion problems. In particular, we demonstrate how the quasi-optimal test space norm improves the robustness of the DPG method with respect to vanishing diffusion. We numeri...
| Main Authors: | Niemi, A., Collier, N., Calo, Victor |
|---|---|
| Format: | Journal Article |
| Published: |
Pergamon Press
2013
|
| Online Access: | http://hdl.handle.net/20.500.11937/51474 |
Similar Items
Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
by: Niemi, A., et al.
Published: (2011)
by: Niemi, A., et al.
Published: (2011)
Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension
by: Niemi, A., et al.
Published: (2013)
by: Niemi, A., et al.
Published: (2013)
Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model
by: Calo, Victor, et al.
Published: (2014)
by: Calo, Victor, et al.
Published: (2014)
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D
by: Zitelli, J., et al.
Published: (2011)
by: Zitelli, J., et al.
Published: (2011)
Discontinuous Galerkin FEMs for Radiation Transport Problems
by: Widdowson, Richard
Published: (2023)
by: Widdowson, Richard
Published: (2023)
Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations
by: Brown, Donald, et al.
Published: (2017)
by: Brown, Donald, et al.
Published: (2017)
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 the neutron transport equation
by: Bennison, Tom
Published: (2014)
by: Bennison, Tom
Published: (2014)
Discontinuous Galerkin Methods for the Linear Boltzmann Transport Equation
by: Radley, Thomas
Published: (2023)
by: Radley, Thomas
Published: (2023)
hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems
by: Hall, Edward, et al.
Published: (2017)
by: Hall, Edward, et al.
Published: (2017)
Discontinuous Galerkin Methods for the Biharmonic Problem
by: Georgoulis, Emmanuil H., et al.
by: Georgoulis, Emmanuil H., et al.
Eliminating the Gibbs phenomenon: the non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation
by: Roggendorf, Sarah
Published: (2019)
by: Roggendorf, Sarah
Published: (2019)
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)
Discontinuous Galerkin methods for problems with Dirac delta source
by: Houston, Paul, et al.
Published: (2011)
by: Houston, Paul, et al.
Published: (2011)
Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2014)
by: Congreve, Scott, et al.
Published: (2014)
hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2013)
by: Congreve, Scott, et al.
Published: (2013)
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)
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 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)
Adaptive discontinuous Galerkin methods on polytopic meshes
by: Collis, Joe, et al.
Published: (2016)
by: Collis, Joe, et al.
Published: (2016)
Gauss–Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
by: Barton, M., et al.
Published: (2017)
by: Barton, M., 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)
A survey on direct solvers for Galerkin methods
by: Pardo, D., et al.
Published: (2012)
by: Pardo, D., et al.
Published: (2012)
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-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)
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 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)
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)
hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Cangiani, Andrea, et al.
Published: (2014)
by: Cangiani, Andrea, et al.
Published: (2014)
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)
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)
An A Posteriori Error Indicator for Discontinuous Galerkin Approximations of Fourth Order Elliptic Problems
by: Georgoulis, Emmanuil H., et al.
Published: (2008)
by: Georgoulis, Emmanuil H., et al.
Published: (2008)
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)
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)
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)
Two-Level Schwarz Preconditioners for Super Penalty
Discontinuous Galerkin Methods
by: Antonietti, Paola F., et al.
Published: (2007)
by: Antonietti, Paola F., et al.
Published: (2007)
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)
Application of hp-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows
by: Cliffe, Andrew, et al.
Published: (2013)
by: Cliffe, Andrew, et al.
Published: (2013)
Similar Items
-
Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
by: Niemi, A., et al.
Published: (2011) -
Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension
by: Niemi, A., et al.
Published: (2013) -
Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model
by: Calo, Victor, et al.
Published: (2014) -
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D
by: Zitelli, J., et al.
Published: (2011) -
Discontinuous Galerkin FEMs for Radiation Transport Problems
by: Widdowson, Richard
Published: (2023)