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Houston, Paul

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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: 94 Publications since 1997, including 1 Book

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,880 times in 1,102 Documents Cited by Year
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
206
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
84
2002
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
79
2014
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
72
2002
A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
68
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.
64
2007
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
55
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
51
2004
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
50
2000
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220
Hartmann, Ralf; Houston, Paul
49
2008
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
43
2005
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
41
2006
\(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130
Houston, Paul; Endre Süli
39
2001
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
39
2017
\(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
34
2013
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
33
1999
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
32
2009
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
30
2007
A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123
Antonietti, Paola F.; Houston, Paul
28
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
28
2016
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
27
2006
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
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085
Houston, Paul; Süli, Endre
26
2001
\(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
25
2002
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.
25
2008
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
An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. Zbl 1209.65124
Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha
25
2011
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
25
2016
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
23
2000
Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
23
2001
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
21
2017
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
21
2007
Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428
Süli, Endre; Houston, Paul
20
2003
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
20
2006
\(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
19
2000
\(hp\)-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
19
2003
Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
19
2003
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
19
2011
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
19
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
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
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
17
2000
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
16
2005
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104
Süli, Endre; Houston, Paul
15
1997
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
14
2014
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
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio
11
2018
\(hp\)-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
\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173
Giani, Stefano; Houston, Paul
11
2014
\(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040
Houston, Paul; Jensen, Max; Süli, Endre
10
2002
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
10
2007
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
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.
9
2013
Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102
Hartmann, Ralf; Houston, Paul
9
2003
Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
9
2012
An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
8
2018
\(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
8
2003
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
8
2004
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.
8
2013
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
Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042
Hartmann, R.; Houston, P.
6
2003
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170
Giani, S.; Houston, P.
6
2014
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
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.
5
2012
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
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
\(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
4
2014
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
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
3
2014
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.
3
2020
Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258
Collis, Joe; Houston, Paul
3
2016
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
3
2020
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
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
2
2012
Adjoint error estimation and adaptivity for hyperbolic problems. Zbl 1368.65164
Houston, P.
2
2017
Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124
Houston, Paul; Wihler, Thomas P.
1
2012
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
1
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
Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
1
2013
Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051
Hartmann, Ralf; Houston, Paul
1
2004
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
Adaptive energy minimisation for \(hp\)-finite element methods. Zbl 1443.65335
Houston, Paul; Wihler, Thomas P.
1
2016
\(hp\)-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001
Hall, Edward; Houston, Paul; Murphy, Steven
1
2017
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
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
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.
3
2020
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
3
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
11
2018
An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
8
2018
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
1
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
39
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
21
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
28
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
25
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.
1
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
79
2014
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
14
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
\(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
4
2014
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
3
2014
\(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
34
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.
9
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.
8
2013
Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
1
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
9
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.
5
2012
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
2
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
28
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
25
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
19
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
32
2009
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
19
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
49
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.
25
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.
64
2007
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
30
2007
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
21
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
10
2007
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
41
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
20
2006
A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
68
2005
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
55
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
43
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
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: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
16
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
51
2004
Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
8
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
19
2003
Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
19
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
206
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
84
2002
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
72
2002
\(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
25
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
39
2001
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085
Houston, Paul; Süli, Endre
26
2001
Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
23
2001
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
50
2000
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
23
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.
17
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
33
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 1,429 Authors

39 Houston, Paul
34 Antonietti, Paola Francesca
26 Giani, Stefano
25 Li, Jichun
25 Schötzau, Dominik
24 Dolejší, Vít
20 Wihler, Thomas Pascal
19 Georgoulis, Emmanuil H.
16 Verani, Marco
14 Dumbser, Michael
13 Feistauer, Miloslav
13 Perugia, Ilaria
12 Gudi, Thirupathi
12 Huang, Yunqing
12 Süli, Endre E.
11 Cangiani, Andrea
11 Liu, Tiegang
11 Schwab, Christoph
10 Adjerid, Slimane
10 Baccouch, Mahboub
10 Beirão da Veiga, Lourenço
10 Di Pietro, Daniele Antonio
10 Ern, Alexandre
10 Fidkowski, Krzysztof J.
10 Mascotto, Lorenzo
10 Mazzieri, Ilario
9 Banz, Lothar
9 Cheng, Jian
9 Cockburn, Bernardo
9 Nataraj, Neela
8 Burman, Erik
8 Demkowicz, Leszek F.
8 Mora, David
8 Pryer, Tristan
8 Vohralík, Martin
8 Wheeler, Mary Fanett
7 Brenner, Susanne Cecelia
7 Chung, Tsz Shun Eric
7 Dong, Zhaonan
7 Giesselmann, Jan
7 Hall, Edward J. C.
7 Hiptmair, Ralf
7 May, Georg
7 Mu, Lin
7 Quarteroni, Alfio M.
7 Rui, Hongxing
7 Schroder, Andreas
7 Stamm, Benjamin
7 van der Vegt, Jaap J. W.
7 Wei, Juncheng
7 Yang, Wei
7 Ye, Xiu
6 Abdulle, Assyr
6 Bi, Chunjia
6 Brezzi, Franco
6 Carstensen, Carsten
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 Munz, Claus-Dieter
6 Pani, Amiya Kumar
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 Bertoluzza, Silvia
5 Bustinza, Rommel A.
5 Chernov, Alexey
5 Codina, Ramon
5 Darmofal, David L.
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 Manzini, Gianmarco
5 Masud, Arif
5 Mavriplis, Dimitri J.
5 Mei, Liquan
5 Müller, Siegfried
5 Nicaise, Serge
5 Prudhomme, Serge
5 Qiu, Weifeng
5 Rivera, Gonzalo
5 Rivière, Beatrice M.
5 Šolín, Pavel
...and 1,329 more Authors
all top 5

Cited in 124 Serials

121 Journal of Computational Physics
103 Computer Methods in Applied Mechanics and Engineering
99 Journal of Scientific Computing
67 Computers & Mathematics with Applications
65 Journal of Computational and Applied Mathematics
55 Applied Numerical Mathematics
46 Mathematics of Computation
42 Numerische Mathematik
41 Computers and Fluids
37 SIAM Journal on Scientific Computing
34 Applied Mathematics and Computation
28 SIAM Journal on Numerical Analysis
28 Numerical Methods for Partial Differential Equations
27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Calcolo
13 Advances in Computational Mathematics
11 Computational Mechanics
11 Journal of Numerical Mathematics
11 Communications in Computational Physics
10 International Journal for Numerical Methods in Fluids
9 BIT
9 Computational Methods in Applied Mathematics
8 International Journal for Numerical Methods in Engineering
7 Mathematics and Computers in Simulation
6 Computational Geosciences
5 Numerical Functional Analysis and Optimization
5 Numerical Algorithms
5 Advances in Applied Mathematics and Mechanics
4 Applications of Mathematics
4 Engineering Analysis with Boundary Elements
4 Foundations of Computational Mathematics
4 East Asian Journal on Applied Mathematics
3 Journal of Differential Equations
3 Applied Mathematics Letters
3 International Journal of Computer Mathematics
3 Computational Optimization and Applications
3 Numerical Linear Algebra with Applications
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
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 Applicable Analysis
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
2 Communications on Applied Mathematics and Computation
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 International Journal of Computational Fluid Dynamics
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 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
1 SIAM Journal on Applied Dynamical Systems
1 Analysis and Applications (Singapore)
1 International Journal of Computational Methods
...and 24 more Serials
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Cited in 35 Fields

968 Numerical analysis (65-XX)
501 Partial differential equations (35-XX)
314 Fluid mechanics (76-XX)
114 Optics, electromagnetic theory (78-XX)
107 Mechanics of deformable solids (74-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
18 Biology and other natural sciences (92-XX)
12 Ordinary differential equations (34-XX)
12 Classical thermodynamics, heat transfer (80-XX)
12 Statistical mechanics, structure of matter (82-XX)
8 Integral equations (45-XX)
8 Geophysics (86-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Probability theory and stochastic processes (60-XX)
6 Approximations and expansions (41-XX)
6 Operator theory (47-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Computer science (68-XX)
5 Potential theory (31-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Quantum theory (81-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Differential geometry (53-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 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year