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Author ID: houston.paul Recent zbMATH articles by "Houston, Paul"
Published as: Houston, Paul; Houston, P.
External Links: MGP
Documents Indexed: 96 Publications since 1997, including 1 Book
Co-Authors: 56 Co-Authors with 93 Joint Publications
1,591 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 2,000 times in 1,167 Documents Cited by Year
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
213
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
91
2002
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
84
2014
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
75
2002
A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
72
2005
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
67
2007
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
56
2005
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
54
2000
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220
Hartmann, Ralf; Houston, Paul
53
2008
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
53
2004
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
48
2017
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
45
2006
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
44
2005
\(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130
Houston, Paul; Endre Süli
40
2001
\(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
38
2013
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
36
1999
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
34
2009
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
32
2007
A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123
Antonietti, Paola F.; Houston, Paul
30
2011
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
30
2016
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251
Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul
28
2016
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085
Houston, Paul; Süli, Endre
28
2001
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
27
2005
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
27
2006
A posteriori error analysis of \(hp\)-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs. Zbl 1144.65070
Houston, Paul; Süli, Endre; Wihler, Thomas P.
26
2008
An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. Zbl 1209.65124
Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha
26
2011
\(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
26
2002
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
26
2000
Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. Zbl 1211.37094
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul
25
2010
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
25
2007
Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
24
2001
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429
Hartmann, Ralf; Houston, Paul
23
2006
Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco
22
2017
Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156
Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik
21
2011
Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428
Süli, Endre; Houston, Paul
20
2003
\(hp\)-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Zbl 1037.65117
Harriman, Kathryn; Houston, Paul; Senior, Bill; Süli, Endre
20
2003
Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
20
2003
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
20
2009
\(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
19
2000
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
18
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
18
2005
Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity. Zbl 1175.65127
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
18
2009
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
18
2000
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
15
2014
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104
Süli, Endre; Houston, Paul
15
1997
The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029
Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip
13
2002
Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
12
2007
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems. II: Strongly monotone quasi-Newtonian flows. Zbl 1457.65192
Congreve, Scott; Houston, Paul; Süli, Endre; Wihler, Thomas P.
12
2013
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio
12
2018
An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
12
2007
\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173
Giani, Stefano; Houston, Paul
11
2014
\(hp\)-finite element methods for hyperbolic problems. Zbl 0959.65127
Süli, Endre; Houston, Paul; Schwab, Christoph
11
2000
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
11
2005
Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
10
2012
\(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040
Houston, Paul; Jensen, Max; Süli, Endre
10
2002
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134
Antonietti, Paola F.; Houston, Paul; Smears, Iain
9
2016
Two-grid \(hp\)-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. Zbl 1279.65132
Congreve, Scott; Houston, Paul; Wihler, Thomas P.
9
2013
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
9
2004
Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102
Hartmann, Ralf; Houston, Paul
9
2003
An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
9
2018
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
8
2003
Adaptivity and a posteriori error control for bifurcation problems. I: The Bratu problem. Zbl 1364.65246
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
7
2010
Adaptivity and a posteriori error control for bifurcation problems. III: Incompressible fluid flow in open systems with \(O(2)\) symmetry. Zbl 1311.76053
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
6
2012
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170
Giani, S.; Houston, P.
6
2014
Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042
Hartmann, R.; Houston, P.
6
2003
Adaptivity and a posteriori error control for bifurcation problems. II: Incompressible fluid flow in open systems with \(Z_{2}\) symmetry. Zbl 1311.76052
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
5
2011
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre
5
2020
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
4
2014
\(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
4
2014
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
4
2012
The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. Zbl 1429.35070
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2019
A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403
Antonietti, Paola F.; Houston, Paul
4
2008
Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Zbl 1447.65146
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2020
Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. Zbl 1320.76066
Cliffe, K. A.; Collis, J.; Houston, P.
3
2015
Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258
Collis, Joe; Houston, Paul
3
2016
Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
2
2013
Adjoint error estimation and adaptivity for hyperbolic problems. Zbl 1368.65164
Houston, P.
2
2017
Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2
2019
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
2
2018
Adaptive energy minimisation for \(hp\)-finite element methods. Zbl 1443.65335
Houston, Paul; Wihler, Thomas P.
2
2016
\(hp\)-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001
Hall, Edward; Houston, Paul; Murphy, Steven
1
2017
Application of \(hp\)-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows. Zbl 1273.76267
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
1
2013
\(hp\)-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 1273.76268
Congreve, S.; Houston, P.; Wihler, T. P.
1
2013
Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124
Houston, Paul; Wihler, Thomas P.
1
2012
Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051
Hartmann, Ralf; Houston, Paul
1
2004
Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027
Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P.
1
2018
High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco
1
2021
Two-grid \(hp\)-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 07485166
Congreve, Scott; Houston, Paul
1
2014
High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco
1
2021
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre
5
2020
Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Zbl 1447.65146
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2020
The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. Zbl 1429.35070
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2019
Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2
2019
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio
12
2018
An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
9
2018
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
2
2018
Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027
Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P.
1
2018
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
48
2017
Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco
22
2017
Adjoint error estimation and adaptivity for hyperbolic problems. Zbl 1368.65164
Houston, P.
2
2017
\(hp\)-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001
Hall, Edward; Houston, Paul; Murphy, Steven
1
2017
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
30
2016
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251
Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul
28
2016
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134
Antonietti, Paola F.; Houston, Paul; Smears, Iain
9
2016
Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258
Collis, Joe; Houston, Paul
3
2016
Adaptive energy minimisation for \(hp\)-finite element methods. Zbl 1443.65335
Houston, Paul; Wihler, Thomas P.
2
2016
Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. Zbl 1320.76066
Cliffe, K. A.; Collis, J.; Houston, P.
3
2015
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
84
2014
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
15
2014
\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173
Giani, Stefano; Houston, Paul
11
2014
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170
Giani, S.; Houston, P.
6
2014
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
4
2014
\(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
4
2014
Two-grid \(hp\)-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 07485166
Congreve, Scott; Houston, Paul
1
2014
\(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
38
2013
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems. II: Strongly monotone quasi-Newtonian flows. Zbl 1457.65192
Congreve, Scott; Houston, Paul; Süli, Endre; Wihler, Thomas P.
12
2013
Two-grid \(hp\)-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. Zbl 1279.65132
Congreve, Scott; Houston, Paul; Wihler, Thomas P.
9
2013
Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
2
2013
Application of \(hp\)-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows. Zbl 1273.76267
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
1
2013
\(hp\)-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 1273.76268
Congreve, S.; Houston, P.; Wihler, T. P.
1
2013
Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
10
2012
Adaptivity and a posteriori error control for bifurcation problems. III: Incompressible fluid flow in open systems with \(O(2)\) symmetry. Zbl 1311.76053
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
6
2012
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
4
2012
Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124
Houston, Paul; Wihler, Thomas P.
1
2012
A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123
Antonietti, Paola F.; Houston, Paul
30
2011
An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. Zbl 1209.65124
Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha
26
2011
Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156
Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik
21
2011
Adaptivity and a posteriori error control for bifurcation problems. II: Incompressible fluid flow in open systems with \(Z_{2}\) symmetry. Zbl 1311.76052
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
5
2011
Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. Zbl 1211.37094
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul
25
2010
Adaptivity and a posteriori error control for bifurcation problems. I: The Bratu problem. Zbl 1364.65246
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G.
7
2010
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
34
2009
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
20
2009
Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity. Zbl 1175.65127
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
18
2009
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220
Hartmann, Ralf; Houston, Paul
53
2008
A posteriori error analysis of \(hp\)-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs. Zbl 1144.65070
Houston, Paul; Süli, Endre; Wihler, Thomas P.
26
2008
A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403
Antonietti, Paola F.; Houston, Paul
4
2008
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
67
2007
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
32
2007
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
25
2007
Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
12
2007
An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
12
2007
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
45
2006
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
27
2006
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429
Hartmann, Ralf; Houston, Paul
23
2006
A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
72
2005
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
56
2005
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
44
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
27
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
18
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
18
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
11
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
53
2004
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
9
2004
Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051
Hartmann, Ralf; Houston, Paul
1
2004
Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428
Süli, Endre; Houston, Paul
20
2003
\(hp\)-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Zbl 1037.65117
Harriman, Kathryn; Houston, Paul; Senior, Bill; Süli, Endre
20
2003
Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
20
2003
Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102
Hartmann, Ralf; Houston, Paul
9
2003
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
8
2003
Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042
Hartmann, R.; Houston, P.
6
2003
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
213
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
91
2002
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
75
2002
\(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
26
2002
The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029
Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip
13
2002
\(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040
Houston, Paul; Jensen, Max; Süli, Endre
10
2002
\(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130
Houston, Paul; Endre Süli
40
2001
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085
Houston, Paul; Süli, Endre
28
2001
Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
24
2001
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
54
2000
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
26
2000
\(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
19
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
18
2000
\(hp\)-finite element methods for hyperbolic problems. Zbl 0959.65127
Süli, Endre; Houston, Paul; Schwab, Christoph
11
2000
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
36
1999
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104
Süli, Endre; Houston, Paul
15
1997
all top 5

Cited by 1,507 Authors

41 Houston, Paul
37 Antonietti, Paola Francesca
26 Giani, Stefano
26 Li, Jichun
25 Dolejší, Vít
25 Schötzau, Dominik
21 Wihler, Thomas Pascal
20 Georgoulis, Emmanuil H.
18 Verani, Marco
15 Dumbser, Michael
14 Perugia, Ilaria
13 Feistauer, Miloslav
13 Huang, Yunqing
12 Cangiani, Andrea
12 Ern, Alexandre
12 Gudi, Thirupathi
12 Liu, Tiegang
12 Süli, Endre E.
11 Beirão da Veiga, Lourenço
11 Schwab, Christoph
10 Adjerid, Slimane
10 Baccouch, Mahboub
10 Cockburn, Bernardo
10 Di Pietro, Daniele Antonio
10 Fidkowski, Krzysztof J.
10 Mascotto, Lorenzo
10 Mazzieri, Ilario
10 Nataraj, Neela
9 Banz, Lothar
9 Cheng, Jian
9 Chung, Tsz Shun Eric
9 Stamm, Benjamin
8 Burman, Erik
8 Demkowicz, Leszek F.
8 Dong, Zhaonan
8 Mora, David
8 Pryer, Tristan
8 Vohralík, Martin
8 Wheeler, Mary Fanett
7 Brenner, Susanne Cecelia
7 Carstensen, Carsten
7 Giesselmann, Jan
7 Hall, Edward J. C.
7 Hiptmair, Ralf
7 Manzini, Gianmarco
7 May, Georg
7 Mu, Lin
7 Quarteroni, Alfio M.
7 Rui, Hongxing
7 Schroder, Andreas
7 van der Vegt, Jaap J. W.
7 Wei, Juncheng
7 Yang, Wei
7 Ye, Xiu
6 Abdulle, Assyr
6 Bertoluzza, Silvia
6 Bi, Chunjia
6 Brezzi, Franco
6 Fu, Hongfei
6 Gassner, Gregor J.
6 Gatica, Gabriel N.
6 Hartmann, Ralf
6 He, Yinnian
6 Huang, Xuehai
6 Kuzmin, Dmitri
6 Lube, Gert
6 Marini, Luisa Donatella
6 Müller, Siegfried
6 Munz, Claus-Dieter
6 Nicaise, Serge
6 Pani, Amiya Kumar
6 Rivière, Beatrice M.
6 Russo, Alessandro
6 Takizawa, Kenji
6 Tavener, Simon J.
6 Tezduyar, Tayfun E.
6 Yue, Huiqiang
6 Zhang, Shangyou
6 Zhang, Zhimin
6 Zhu, Hongqiang
5 Badia, Santiago
5 Bastian, Peter
5 Bustinza, Rommel A.
5 Chapelier, Jean-Baptiste
5 Chernov, Alexey
5 Codina, Ramon
5 Darmofal, David L.
5 de la Llave Plata, Marta
5 Dedner, Andreas S.
5 Endtmayer, Bernhard
5 Feng, Xiaobing
5 Grubišić, Luka
5 Hughes, Thomas J. R.
5 Lanteri, Stéphane
5 Larson, Mats G.
5 Lovadina, Carlo
5 Masud, Arif
5 Mavriplis, Dimitri J.
5 Mei, Liquan
5 Park, Eun-Jae
...and 1,407 more Authors
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Cited in 132 Serials

133 Journal of Computational Physics
103 Computer Methods in Applied Mechanics and Engineering
103 Journal of Scientific Computing
68 Computers & Mathematics with Applications
66 Journal of Computational and Applied Mathematics
56 Applied Numerical Mathematics
48 Mathematics of Computation
44 Computers and Fluids
42 Numerische Mathematik
38 SIAM Journal on Scientific Computing
34 Applied Mathematics and Computation
30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
29 SIAM Journal on Numerical Analysis
28 Numerical Methods for Partial Differential Equations
13 Calcolo
13 Advances in Computational Mathematics
12 Computational Mechanics
12 Communications in Computational Physics
11 Computational Methods in Applied Mathematics
11 Journal of Numerical Mathematics
10 International Journal for Numerical Methods in Fluids
9 BIT
8 International Journal for Numerical Methods in Engineering
8 International Journal of Numerical Analysis and Modeling
7 Mathematics and Computers in Simulation
6 Computational Geosciences
6 Communications on Applied Mathematics and Computation
5 Numerical Functional Analysis and Optimization
5 Numerical Algorithms
5 International Journal of Computer Mathematics
5 Engineering Analysis with Boundary Elements
5 Advances in Applied Mathematics and Mechanics
4 Applied Mathematics Letters
4 Applications of Mathematics
4 Foundations of Computational Mathematics
4 East Asian Journal on Applied Mathematics
3 Applicable Analysis
3 Journal of Differential Equations
3 Computational Optimization and Applications
3 Numerical Linear Algebra with Applications
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
3 International Journal of Computational Fluid Dynamics
3 Archives of Computational Methods in Engineering
3 Multiscale Modeling & Simulation
3 International Journal for Numerical Methods in Biomedical Engineering
3 Results in Applied Mathematics
2 Computer Physics Communications
2 Mathematical Methods in the Applied Sciences
2 Bulletin of Mathematical Biology
2 Meccanica
2 COMPEL
2 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 Journal of Nonlinear Science
2 Communications in Numerical Methods in Engineering
2 Abstract and Applied Analysis
2 International Journal of Theoretical and Applied Finance
2 Central European Journal of Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 ACM Transactions on Mathematical Software
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Dynamics and Differential Equations
1 Advances in Engineering Software
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Journal of Difference Equations and Applications
1 Journal of Inequalities and Applications
1 European Journal of Mechanics. B. Fluids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Engineering Computations
1 Combustion Theory and Modelling
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Matematicheskoe Modelirovanie
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Sādhanā
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 Bulletin of the Brazilian Mathematical Society. New Series
...and 32 more Serials
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Cited in 39 Fields

1,021 Numerical analysis (65-XX)
519 Partial differential equations (35-XX)
338 Fluid mechanics (76-XX)
116 Optics, electromagnetic theory (78-XX)
112 Mechanics of deformable solids (74-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
20 Biology and other natural sciences (92-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Ordinary differential equations (34-XX)
13 Classical thermodynamics, heat transfer (80-XX)
8 Integral equations (45-XX)
8 Probability theory and stochastic processes (60-XX)
8 Computer science (68-XX)
8 Geophysics (86-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Approximations and expansions (41-XX)
7 Operator theory (47-XX)
6 Potential theory (31-XX)
6 Functional analysis (46-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Statistics (62-XX)
5 Quantum theory (81-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Differential geometry (53-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year