Edit Profile Houston, Paul Compute Distance To: Compute Author ID: houston.paul Published as: Houston, P.; Houston, Paul External Links: MGP Documents Indexed: 92 Publications since 1997, including 1 Book all top 5 Co-Authors 0 single-authored 21 Süli, Endre E. 14 Schötzau, Dominik 13 Wihler, Thomas Pascal 10 Hall, Edward J. C. 10 Perugia, Ilaria 9 Antonietti, Paola Francesca 9 Georgoulis, Emmanuil H. 8 Cliffe, K. Andrew 8 Giani, Stefano 8 Hartmann, Ralf 5 Congreve, Scott 4 Cangiani, Andrea 4 Schwab, Christoph 3 Collis, Joe 3 Dong, Zhaonan 3 Phipps, Eric T. 3 Salinger, Andrew G. 3 Schneebeli, Anna 3 Senior, Bill 2 Pennesi, Giorgio 2 Roggendorf, Sarah 2 van der Zee, Kristoffer George 1 Bain, Oliver 1 Billingham, John 1 Brezzi, Franco 1 Brownlee, Robert 1 Buffa, Annalisa 1 Gavaghan, David J. 1 Harriman, Kathryn 1 Holton, Derek Allan 1 Hu, Xiaozhe 1 Jackson, C. P. 1 Jensen, Max 1 Joyce, S. 1 Levesley, Jeremy 1 Lowndes, Ian S. 1 Mackenzie, John A. 1 Maini, Philip Kumar 1 Marini, Luisa Donatella 1 McInerney, Darragh 1 Milne, Alice E. 1 Muga, Ignacio 1 Murphy, Steven 1 Rannacher, Rolf 1 Robson, Janice 1 Rosswog, Stephan 1 Sarti, Marco 1 Sime, Nathan 1 Smears, Iain 1 Verani, Marco 1 Virtanen, Juha M. 1 Ward, Michael J. 1 Warnecke, Gerald G. 1 Wei, Xiaoxi 1 Zhu, Liang all top 5 Serials 10 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 7 IMA Journal of Numerical Analysis 6 International Journal of Numerical Analysis and Modeling 5 Computer Methods in Applied Mechanics and Engineering 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 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 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 75 Numerical analysis (65-XX) 44 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 10 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 1 Approximations and expansions (41-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 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 85 Publications have been cited 1,720 times in 1,007 Documents Cited by ▼ Year ▼ Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067Houston, Paul; Schwab, Christoph; Süli, Endre 191 2002 Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033Hartmann, Ralf; Houston, Paul 81 2002 Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081Hartmann, Ralf; Houston, Paul 67 2002 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 66 2014 A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131Houston, Paul; Süli, Endre 64 2005 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 59 2007 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 52 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 47 2004 An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220Hartmann, Ralf; Houston, Paul 44 2008 Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103Houston, Paul; Schwab, Christoph; Süli, Endre 44 2000 \(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130Houston, Paul; Endre Süli 40 2001 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030Hartmann, Ralf; Houston, Paul 38 2006 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116Houston, Paul; Robson, Janice; Süli, Endre 38 2005 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 31 1999 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163Antonietti, Paola F.; Giani, Stefano; Houston, Paul 29 2013 Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134Georgoulis, Emmanuil H.; Houston, Paul 28 2009 Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 28 2007 A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123Antonietti, Paola F.; Houston, Paul 27 2011 An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 26 2006 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 26 2005 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 25 2017 Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085Houston, Paul; Süli, Endre 25 2001 A posteriori error analysis of \(hp\)-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs. Zbl 1144.65070Houston, Paul; Süli, Endre; Wihler, Thomas P. 24 2008 A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115Houston, Paul; Rannacher, Rolf; Süli, Endre 24 2000 \(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027Houston, Paul; Senior, Bill; Süli, Endre 23 2002 \(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 21 2016 Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136Houston, P.; Süli, E. 21 2001 An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. Zbl 1209.65124Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha 20 2011 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 19 2016 Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156Zhu, Liang; Giani, Stefano; Houston, Paul; Schötzau, Dominik 19 2011 Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. Zbl 1211.37094Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul 19 2010 Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007Buffa, Annalisa; Houston, Paul; Perugia, Ilaria 19 2007 Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114Houston, P.; Senior, B.; Süli, E. 19 2003 \(hp\)-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Zbl 1037.65117Harriman, Kathryn; Houston, Paul; Senior, Bill; Süli, Endre 19 2003 Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428Süli, Endre; Houston, Paul 19 2003 \(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102Süli, Endre; Schwab, Christoph; Houston, Paul 19 2000 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 17 2017 A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi 17 2009 Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity. Zbl 1175.65127Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 17 2009 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429Hartmann, Ralf; Houston, Paul 17 2006 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 17 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 17 2005 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 17 2000 Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104Süli, Endre; Houston, Paul 15 1997 \(hp\)-finite element methods for hyperbolic problems. Zbl 0959.65127Süli, Endre; Houston, Paul; Schwab, Christoph 14 2000 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174Antonietti, Paola F.; Giani, Stefano; Houston, Paul 13 2014 The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip 12 2002 \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173Giani, Stefano; Houston, Paul 11 2014 Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 11 2007 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 \(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040Houston, Paul; Jensen, Max; Süli, Endre 11 2002 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, 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 1350.65134Antonietti, 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 06220959Congreve, Scott; Houston, Paul; Süli, Endre; Wihler, Thomas P. 9 2013 Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042Giani, Stefano; Houston, Paul 9 2012 Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102Hartmann, Ralf; Houston, Paul 9 2003 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 9 2003 Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 8 2004 Two-grid \(hp\)-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. Zbl 1279.65132Congreve, Scott; Houston, Paul; Wihler, Thomas P. 7 2013 Adaptivity and a posteriori error control for bifurcation problems. I: The Bratu problem. Zbl 1364.65246Cliffe, 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 1042.76042Hartmann, R.; Houston, P. 7 2003 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 6 2018 Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170Giani, S.; Houston, P. 6 2014 Adaptivity and a posteriori error control for bifurcation problems. III: Incompressible fluid flow in open systems with \(O(2)\) symmetry. Zbl 1311.76053Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G. 5 2012 Adaptivity and a posteriori error control for bifurcation problems. II: Incompressible fluid flow in open systems with \(Z_{2}\) symmetry. Zbl 1311.76052Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G. 5 2011 \(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157Cliffe, K. A.; Hall, E. J. C.; Houston, P. 4 2014 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403Antonietti, 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 1429.35070Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G. 3 2019 An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449Houston, Paul; Wihler, Thomas P. 3 2018 Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. Zbl 1320.76066Cliffe, K. A.; Collis, J.; Houston, P. 3 2015 Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031Giani, Stefano; Houston, Paul 3 2014 Adjoint error estimation and adaptivity for hyperbolic problems. Zbl 1368.65164Houston, P. 2 2017 Discontinuous Galerkin methods for problems with Dirac delta source. Zbl 1272.65092Houston, Paul; Wihler, Thomas Pascal 2 2012 Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Zbl 1447.65146Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G. 1 2020 Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105Congreve, Scott; Houston, Paul; Perugia, Ilaria 1 2019 Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P. 1 2018 Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268Houston, Paul; Sime, Nathan 1 2018 \(hp\)-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001Hall, Edward; Houston, Paul; Murphy, Steven 1 2017 Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258Collis, Joe; Houston, Paul 1 2016 Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124Congreve, Scott; Houston, Paul 1 2013 \(hp\)-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 1273.76268Congreve, S.; Houston, P.; Wihler, T. P. 1 2013 Application of \(hp\)-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows. Zbl 1273.76267Cliffe, K. A.; Hall, E. J. C.; Houston, P. 1 2013 Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124Houston, Paul; Wihler, Thomas P. 1 2012 Discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1170.78305Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 1 2004 Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051Hartmann, Ralf; Houston, Paul 1 2004 Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Zbl 1447.65146Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G. 1 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 1429.35070Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G. 3 2019 Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105Congreve, Scott; Houston, Paul; Perugia, Ilaria 1 2019 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 6 2018 An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Zbl 1410.65449Houston, Paul; Wihler, Thomas P. 3 2018 Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P. 1 2018 Automatic symbolic computation for discontinuous Galerkin finite element methods. Zbl 1397.65268Houston, Paul; Sime, Nathan 1 2018 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1382.65307Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 25 2017 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 17 2017 Adjoint error estimation and adaptivity for hyperbolic problems. Zbl 1368.65164Houston, P. 2 2017 \(hp\)-adaptive discontinuous Galerkin methods for neutron transport criticality problems. Zbl 1385.82001Hall, Edward; Houston, Paul; Murphy, Steven 1 2017 \(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 21 2016 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 19 2016 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134Antonietti, Paola F.; Houston, Paul; Smears, Iain 9 2016 Adaptive discontinuous Galerkin methods on polytopic meshes. Zbl 1371.74258Collis, Joe; Houston, Paul 1 2016 Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. Zbl 1320.76066Cliffe, K. A.; Collis, J.; Houston, P. 3 2015 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 66 2014 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174Antonietti, Paola F.; Giani, Stefano; Houston, Paul 13 2014 \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1298.65173Giani, Stefano; Houston, Paul 11 2014 Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Zbl 1329.76170Giani, S.; Houston, P. 6 2014 \(hp\)-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Zbl 1381.76157Cliffe, K. A.; Hall, E. J. C.; Houston, P. 4 2014 Domain decomposition preconditioners for discontinuous Galerkin discretization of compressible fluid flows. Zbl 1324.76031Giani, Stefano; Houston, Paul 3 2014 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163Antonietti, Paola F.; Giani, Stefano; Houston, Paul 29 2013 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems. II: Strongly monotone quasi-Newtonian flows. Zbl 06220959Congreve, 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 1279.65132Congreve, Scott; Houston, Paul; Wihler, Thomas P. 7 2013 Two-grid \(hp\)-DGFEM for second-order quasilinear elliptic PDEs based on an incomplete Newton iteration. Zbl 1280.65124Congreve, Scott; Houston, Paul 1 2013 \(hp\)-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. Zbl 1273.76268Congreve, S.; Houston, P.; Wihler, T. P. 1 2013 Application of \(hp\)-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows. Zbl 1273.76267Cliffe, K. A.; Hall, E. J. C.; Houston, P. 1 2013 Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042Giani, 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 1311.76053Cliffe, 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 1272.65092Houston, Paul; Wihler, Thomas Pascal 2 2012 Second-order elliptic PDEs with discontinuous boundary data. Zbl 1237.65124Houston, Paul; Wihler, Thomas P. 1 2012 A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123Antonietti, Paola F.; Houston, Paul 27 2011 An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems. Zbl 1209.65124Georgoulis, Emmanuil H.; Houston, Paul; Virtanen, Juha 20 2011 Energy norm a posteriori error estimation for \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Zbl 1220.65156Zhu, 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 1311.76052Cliffe, 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 1211.37094Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul 19 2010 Adaptivity and a posteriori error control for bifurcation problems. I: The Bratu problem. Zbl 1364.65246Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G. 7 2010 Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134Georgoulis, Emmanuil H.; Houston, Paul 28 2009 A mixed DG method for linearized incompressible magnetohydrodynamics. Zbl 1203.76083Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi 17 2009 Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity. Zbl 1175.65127Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 17 2009 An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. Zbl 1359.76220Hartmann, Ralf; Houston, Paul 44 2008 A posteriori error analysis of \(hp\)-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs. Zbl 1144.65070Houston, Paul; Süli, Endre; Wihler, Thomas P. 24 2008 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403Antonietti, Paola F.; Houston, Paul 4 2008 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 59 2007 Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. Zbl 1159.65092Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 28 2007 Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007Buffa, Annalisa; Houston, Paul; Perugia, Ilaria 19 2007 Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis. Zbl 1185.65208Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul 11 2007 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 10 2007 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030Hartmann, Ralf; Houston, Paul 38 2006 An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Zbl 1118.74049Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 26 2006 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429Hartmann, Ralf; Houston, Paul 17 2006 A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. Zbl 1074.65131Houston, Paul; Süli, Endre 64 2005 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 52 2005 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116Houston, Paul; Robson, Janice; Süli, Endre 38 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 26 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. Zbl 1065.76139Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 17 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 17 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 47 2004 Mixed \(hp\)-discontinuous Galerkin finite element methods for the Stokes problem in polygons. Zbl 1179.76053Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 8 2004 Discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1170.78305Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 1 2004 Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations. Zbl 1179.76051Hartmann, Ralf; Houston, Paul 1 2004 Sobolev regularity estimation for \(hp\)-adaptive finite element methods. Zbl 1043.65114Houston, P.; Senior, B.; Süli, E. 19 2003 \(hp\)-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Zbl 1037.65117Harriman, Kathryn; Houston, Paul; Senior, Bill; Süli, Endre 19 2003 Adaptive finite element approximation of hyperbolic problems. Zbl 1141.76428Süli, Endre; Houston, Paul 19 2003 Goal-oriented a posteriori error estimation for multiple target functionals. Zbl 1064.65102Hartmann, Ralf; Houston, Paul 9 2003 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 9 2003 Goal-oriented a posteriori error estimation for compressible fluid flows. Zbl 1042.76042Hartmann, R.; Houston, P. 7 2003 Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067Houston, Paul; Schwab, Christoph; Süli, Endre 191 2002 Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. Zbl 1057.76033Hartmann, Ralf; Houston, Paul 81 2002 Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. Zbl 1034.65081Hartmann, Ralf; Houston, Paul 67 2002 \(hp\)-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity. Zbl 1021.76027Houston, Paul; Senior, Bill; Süli, Endre 23 2002 The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip 12 2002 \(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization. Zbl 1053.76040Houston, Paul; Jensen, Max; Süli, Endre 11 2002 \(hp\)-adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Zbl 1029.65130Houston, Paul; Endre Süli 40 2001 Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Zbl 0957.65085Houston, Paul; Süli, Endre 25 2001 Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form. Zbl 0985.65136Houston, P.; Süli, E. 21 2001 Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103Houston, Paul; Schwab, Christoph; Süli, Endre 44 2000 A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115Houston, Paul; Rannacher, Rolf; Süli, Endre 24 2000 \(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102Süli, Endre; Schwab, Christoph; Houston, Paul 19 2000 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 17 2000 \(hp\)-finite element methods for hyperbolic problems. Zbl 0959.65127Süli, Endre; Houston, Paul; Schwab, Christoph 14 2000 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 31 1999 Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity. Zbl 0886.65104Süli, Endre; Houston, Paul 15 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,383 Authors 37 Houston, Paul 30 Antonietti, Paola Francesca 25 Schötzau, Dominik 24 Giani, Stefano 24 Li, Jichun 23 Dolejší, Vít 19 Wihler, Thomas Pascal 16 Georgoulis, Emmanuil H. 14 Dumbser, Michael 14 Verani, Marco 13 Feistauer, Miloslav 13 Perugia, Ilaria 12 Gudi, Thirupathi 12 Schwab, Christoph 12 Süli, Endre E. 11 Ern, Alexandre 10 Adjerid, Slimane 10 Baccouch, Mahboub 10 Beirão da Veiga, Lourenço 10 Di Pietro, Daniele Antonio 9 Banz, Lothar 9 Cockburn, Bernardo 9 Fidkowski, Krzysztof J. 9 Huang, Yunqing 9 Nataraj, Neela 8 Burman, Erik 8 Cangiani, Andrea 8 Wheeler, Mary Fanett 7 Brenner, Susanne Cecelia 7 Chung, Tsz Shun Eric 7 Hall, Edward J. C. 7 Hiptmair, Ralf 7 Mascotto, Lorenzo 7 May, Georg 7 Mazzieri, Ilario 7 Mora, David 7 Quarteroni, Alfio M. 7 Rui, Hongxing 7 Schroder, Andreas 7 van der Vegt, Jaap J. W. 7 Wei, Juncheng 6 Abdulle, Assyr 6 Bi, Chunjia 6 Brezzi, Franco 6 Carstensen, Carsten 6 Demkowicz, Leszek F. 6 Fu, Hongfei 6 Gassner, Gregor J. 6 Gatica, Gabriel N. 6 Hartmann, Ralf 6 Kuzmin, Dmitri 6 Liu, Tiegang 6 Lube, Gert 6 Manzini, Gianmarco 6 Marini, Luisa Donatella 6 Mu, Lin 6 Munz, Claus-Dieter 6 Nicaise, Serge 6 Pryer, Tristan 6 Russo, Alessandro 6 Takizawa, Kenji 6 Tezduyar, Tayfun E. 6 Yang, Wei 6 Zhang, Zhimin 5 Badia, Santiago 5 Bastian, Peter 5 Bustinza, Rommel A. 5 Cheng, Jian 5 Codina, Ramon 5 Darmofal, David L. 5 de la Llave Plata, Marta 5 Feng, Xiaobing 5 Giesselmann, Jan 5 He, Yinnian 5 Huang, Xuehai 5 Hughes, Thomas J. R. 5 Kim, Mi-Young 5 Lanteri, Stéphane 5 Masud, Arif 5 Mavriplis, Dimitri J. 5 Mei, Liquan 5 Müller, Siegfried 5 Pani, Amiya Kumar 5 Prudhomme, Serge 5 Qiu, Weifeng 5 Rivière, Beatrice M. 5 Stamm, Benjamin 5 Stephan, Ernst Peter 5 Tavener, Simon J. 5 Vohralík, Martin 5 Winter, Matthias 5 Ye, Xiu 5 Zhang, Shangyou 5 Zhu, Hongqiang 4 Alekseev, Aleksey K. 4 Almeida, Regina C. 4 Bürg, Markus 4 Canuto, Claudio 4 Chapelier, Jean-Baptiste 4 Chernov, Alexey ...and 1,283 more Authors all top 5 Cited in 117 Serials 123 Journal of Computational Physics 93 Computer Methods in Applied Mechanics and Engineering 86 Journal of Scientific Computing 62 Journal of Computational and Applied Mathematics 61 Computers & Mathematics with Applications 52 Applied Numerical Mathematics 44 Mathematics of Computation 41 Computers and Fluids 39 Numerische Mathematik 33 SIAM Journal on Scientific Computing 32 Applied Mathematics and Computation 28 Numerical Methods for Partial Differential Equations 26 SIAM Journal on Numerical Analysis 26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Calcolo 11 Advances in Computational Mathematics 11 Journal of Numerical Mathematics 10 International Journal for Numerical Methods in Fluids 10 Computational Mechanics 8 International Journal for Numerical Methods in Engineering 8 Computational Methods in Applied Mathematics 7 BIT 6 Mathematics and Computers in Simulation 6 Computational Geosciences 5 Numerical Functional Analysis and Optimization 4 Applications of Mathematics 4 Numerical Algorithms 4 Engineering Analysis with Boundary Elements 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 Foundations of Computational Mathematics 3 Multiscale Modeling & Simulation 3 International Journal for Numerical Methods in Biomedical Engineering 3 East Asian Journal on Applied Mathematics 2 Computer Physics Communications 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 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 Results in Applied Mathematics 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 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 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 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 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Waves in Random and Complex Media 1 Acta Mechanica Sinica ...and 17 more Serials all top 5 Cited in 33 Fields 882 Numerical analysis (65-XX) 451 Partial differential equations (35-XX) 294 Fluid mechanics (76-XX) 103 Optics, electromagnetic theory (78-XX) 94 Mechanics of deformable solids (74-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 12 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 4 Potential theory (31-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year