Houston, Paul

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 Author ID: 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
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Co-Authors

 1 single-authored 21 Süli, Endre E. 14 Schötzau, Dominik 14 Wihler, Thomas Pascal 10 Antonietti, Paola Francesca 10 Hall, Edward J. C. 10 Perugia, Ilaria 9 Georgoulis, Emmanuil H. 8 Cliffe, K. Andrew 8 Giani, Stefano 8 Hartmann, Ralf 6 Congreve, Scott 4 Cangiani, Andrea 4 Schwab, Christoph 3 Collis, Joe 3 Dong, Zhaonan 3 Pennesi, Giorgio 3 Phipps, Eric T. 3 Roggendorf, Sarah 3 Salinger, Andrew G. 3 Schneebeli, Anna 3 Senior, Bill 3 van der Zee, Kristoffer George 2 Verani, Marco 1 Bain, Oliver 1 Billingham, John 1 Brezzi, Franco 1 Brownlee, Robert 1 Buffa, Annalisa 1 Facciolà, Chiara 1 Gavaghan, David J. 1 Harriman, Kathryn 1 Holton, Derek Allan 1 Hu, Xiaozhe 1 Jackson, C. P. 1 Jensen, Max 1 Joyce, Simon 1 Levesley, Jeremy 1 Lowndes, Ian S. 1 Mackenzie, John A. 1 Maini, Philip Kumar 1 Marini, Luisa Donatella 1 Mazzieri, Ilario 1 McInerney, Darragh 1 Monk, Nicholas A. M. 1 Muga, Ignacio 1 Murphy, Steven 1 Owen, Markus Roger 1 Pasquale, Liliana 1 Rannacher, Rolf 1 Robson, Janice 1 Rosswog, Stephan 1 Sarti, Marco 1 Schamberg, S. 1 Sime, Nathan 1 Smears, Iain 1 Virtanen, Juha M. 1 Ward, Michael J. 1 Warnecke, Gerald G. 1 Wei, Xiaoxi 1 Zanchetta, Pericle 1 Zhu, Liang
all top 5

Serials

 10 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 8 International Journal of Numerical Analysis and Modeling 7 IMA Journal of Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers & Mathematics with Applications 3 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Bulletin of Mathematical Biology 1 Calcolo 1 Computing 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Advances in Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Communications in Computational Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal of Computing Science and Mathematics 1 SpringerBriefs in Mathematics
all top 5

Fields

 81 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 10 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
2002
$$hp$$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
2014
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
2002
A note on the design of $$hp$$-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
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.
2007
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
Stabilized $$hp$$-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
2000
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220
Hartmann, Ralf; Houston, Paul
2008
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2004
$$hp$$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
2017
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
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
2005
$$hp$$-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130
Houston, Paul; Endre Süli
2001
$$hp$$-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
2013
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
1999
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
2009
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
2007
A class of domain decomposition preconditioners for $$hp$$-discontinuous Galerkin finite element methods. Zbl 1230.65123
Antonietti, Paola F.; Houston, Paul
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
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
2016
Houston, Paul; Süli, Endre
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
2005
An $$hp$$-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
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.
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
2011
$$hp$$-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
2002
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
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
2010
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
2007
Stabilised $$hp$$-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
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
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
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
2011
Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428
Süli, Endre; Houston, Paul
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
2003
Sobolev regularity estimation for $$hp$$-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
2003
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
2009
$$hp$$-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
2000
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
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.
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
2009
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
2000
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
2014
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104
Süli, Endre; Houston, Paul
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
2002
Discontinuous Galerkin methods on $$hp$$-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
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.
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
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
2007
$$hp$$-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173
Giani, Stefano; Houston, Paul
2014
$$hp$$-finite element methods for hyperbolic problems. Zbl 0959.65127
Süli, Endre; Houston, Paul; Schwab, Christoph
2000
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
Anisotropic $$hp$$-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
2012
$$hp$$-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040
Houston, Paul; Jensen, Max; Süli, Endre
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
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.
2013
Mixed $$hp$$-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
2004
Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102
Hartmann, Ralf; Houston, Paul
2003
An $$hp$$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
2018
$$hp$$-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
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.
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.
2012
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170
Giani, S.; Houston, P.
2014
Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042
Hartmann, R.; Houston, P.
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.
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
2020
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
2014
$$hp$$-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
2014
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
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.
2019
A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403
Antonietti, Paola F.; Houston, Paul
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.
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.
2015
Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258
Collis, Joe; Houston, Paul
2016
Two-grid $$hp$$-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
2013
Houston, P.
2017
Adaptive refinement for $$hp$$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2019
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
2018
Adaptive energy minimisation for $$hp$$-finite element methods. Zbl 1443.65335
Houston, Paul; Wihler, Thomas P.
2016
$$hp$$-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001
Hall, Edward; Houston, Paul; Murphy, Steven
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.
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.
2013
Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124
Houston, Paul; Wihler, Thomas P.
2012
Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051
Hartmann, Ralf; Houston, Paul
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.
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
2021
Two-grid $$hp$$-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 07485166
Congreve, Scott; Houston, Paul
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
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
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.
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.
2019
Adaptive refinement for $$hp$$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
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
2018
An $$hp$$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449
Houston, Paul; Wihler, Thomas P.
2018
Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268
Houston, Paul; Sime, Nathan
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.
2018
$$hp$$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
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
2017
Houston, P.
2017
$$hp$$-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001
Hall, Edward; Houston, Paul; Murphy, Steven
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
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
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
2016
Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258
Collis, Joe; Houston, Paul
2016
Adaptive energy minimisation for $$hp$$-finite element methods. Zbl 1443.65335
Houston, Paul; Wihler, Thomas P.
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.
2015
$$hp$$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
2014
Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
2014
$$hp$$-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173
Giani, Stefano; Houston, Paul
2014
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170
Giani, S.; Houston, P.
2014
Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031
Giani, Stefano; Houston, Paul
2014
$$hp$$-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157
Cliffe, K. A.; Hall, E. J. C.; Houston, P.
2014
Two-grid $$hp$$-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 07485166
Congreve, Scott; Houston, Paul
2014
$$hp$$-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163
Antonietti, Paola F.; Giani, Stefano; Houston, Paul
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.
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.
2013
Two-grid $$hp$$-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124
Congreve, Scott; Houston, Paul
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.
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.
2013
Anisotropic $$hp$$-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
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.
2012
Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092
Houston, Paul; Wihler, Thomas Pascal
2012
Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124
Houston, Paul; Wihler, Thomas P.
2012
A class of domain decomposition preconditioners for $$hp$$-discontinuous Galerkin finite element methods. Zbl 1230.65123
Antonietti, Paola F.; Houston, Paul
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
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
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.
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
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.
2010
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
2009
A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi
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
2009
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220
Hartmann, Ralf; Houston, Paul
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.
2008
A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403
Antonietti, Paola F.; Houston, Paul
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.
2007
Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
2007
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
2007
Discontinuous Galerkin methods on $$hp$$-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208
Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul
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
2007
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
2006
An $$hp$$-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
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
2006
A note on the design of $$hp$$-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131
Houston, Paul; Süli, Endre
2005
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
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
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
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
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.
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2004
Mixed $$hp$$-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
2004
Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051
Hartmann, Ralf; Houston, Paul
2004
Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428
Süli, Endre; Houston, Paul
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
2003
Sobolev regularity estimation for $$hp$$-adaptive finite element methods. Zbl 1043.65114
Houston, P.; Senior, B.; Süli, E.
2003
Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102
Hartmann, Ralf; Houston, Paul
2003
$$hp$$-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
2003
Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042
Hartmann, R.; Houston, P.
2003
Discontinuous $$hp$$-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
2002
Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033
Hartmann, Ralf; Houston, Paul
2002
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081
Hartmann, Ralf; Houston, Paul
2002
$$hp$$-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027
Houston, Paul; Senior, Bill; Süli, Endre
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
2002
$$hp$$-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040
Houston, Paul; Jensen, Max; Süli, Endre
2002
$$hp$$-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130
Houston, Paul; Endre Süli
2001
Houston, Paul; Süli, Endre
2001
Stabilised $$hp$$-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136
Houston, P.; Süli, E.
2001
Stabilized $$hp$$-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
2000
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
2000
$$hp$$-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
2000
$$hp$$-finite element methods for hyperbolic problems. Zbl 0959.65127
Süli, Endre; Houston, Paul; Schwab, Christoph
2000
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
1999
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104
Süli, Endre; Houston, Paul
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)