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Paul Houston
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2020 – today
- 2024
- [j41]Paul Houston
, Matthew E. Hubbard, Thomas J. Radley
:
Iterative solution methods for high-order/hp-DGFEM approximation of the linear Boltzmann transport equation. Comput. Math. Appl. 166: 37-49 (2024) - [j40]Paul Houston
, Matthew E. Hubbard, Thomas J. Radley
, Oliver J. Sutton, Richard S. J. Widdowson:
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. J. Sci. Comput. 100(2): 52 (2024) - [i10]Yanchen He, Paul Houston, Christoph Schwab, Thomas P. Wihler:
Exponential Convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. CoRR abs/2404.18569 (2024) - 2023
- [i9]Paul Houston, Matthew E. Hubbard, Thomas J. Radley, Oliver J. Sutton, Richard S. J. Widdowson:
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. CoRR abs/2304.09592 (2023) - [i8]Nathan Sime, Paul Houston, Cian R. Wilson, Peter E. van Keken:
A divergence free C0-RIPG stream function formulation of the incompressible Stokes system with variable viscosity. CoRR abs/2309.07288 (2023) - [i7]Thomas J. Radley, Paul Houston, Matthew E. Hubbard:
Quadrature-Free Polytopic Discontinuous Galerkin Methods for Transport Problems. CoRR abs/2310.10406 (2023) - [i6]Paul Houston, Matthew E. Hubbard, Thomas J. Radley:
Analysis of Iterative Methods for the Linear Boltzmann Transport Equation. CoRR abs/2310.14333 (2023) - 2022
- [j39]Scott Congreve
, Paul Houston:
Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. Adv. Comput. Math. 48(5): 54 (2022) - [j38]Paul Houston, Connor J. Rourke, Kristoffer G. van der Zee
:
Linearization of the Travel Time Functional in Porous Media Flows. SIAM J. Sci. Comput. 44(3): 531- (2022) - 2021
- [i5]Paul Houston, Connor J. Rourke, Kristoffer G. van der Zee:
Linearisation of the Travel Time Functional in Porous Media Flows. CoRR abs/2111.15504 (2021) - [i4]Scott Congreve, Paul Houston:
Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. CoRR abs/2112.04540 (2021) - 2020
- [j37]Paul Houston, Sarah Roggendorf
, Kristoffer G. van der Zee
:
Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Comput. Math. Appl. 80(5): 851-873 (2020) - [j36]Paola F. Antonietti
, Paul Houston, Giorgio Pennesi, Endre Süli:
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Math. Comput. 89(325): 2047-2083 (2020)
2010 – 2019
- 2019
- [j35]Scott Congreve
, Paul Houston, Ilaria Perugia
:
Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Adv. Comput. Math. 45(1): 361-393 (2019) - [j34]Adriano Barbosa-Silva
, Dorina Bratfalean, Wei Gu
, Venkata P. Satagopam
, Paul Houston
, Lauren B. Becnel, Serge Eifes, Fabien Richard, Andreas Tielmann, Sascha Herzinger, Kavita Rege, Rudi Balling
, Paul Peeters:
Presenting and sharing clinical data using the eTRIKS Standards Master Tree for tranSMART. Bioinform. 35(9): 1562-1565 (2019) - [j33]Paul Houston, Ignacio Muga
, Sarah Roggendorf
, Kristoffer G. van der Zee
:
The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method. Comput. Methods Appl. Math. 19(3): 503-522 (2019) - [i3]Paul Houston, Sarah Roggendorf, Kristoffer G. van der Zee:
Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation. CoRR abs/1908.00996 (2019) - [i2]Paul Houston, Sarah Roggendorf, Kristoffer G. van der Zee:
Gibbs Phenomena for Lq-Best Approximation in Finite Element Spaces - Some Examples. CoRR abs/1909.00658 (2019) - 2018
- [j32]Paola F. Antonietti
, Paul Houston
, Giorgio Pennesi:
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 77(3): 1339-1370 (2018) - [j31]Paul Houston, Thomas P. Wihler
:
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Math. Comput. 87(314): 2641-2674 (2018) - [j30]Paul Houston, Nathan Sime:
Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods. SIAM J. Sci. Comput. 40(3) (2018) - [i1]Paul Houston, Nathan Sime:
Automatic symbolic computation for discontinuous Galerkin finite element methods. CoRR abs/1804.02338 (2018) - 2017
- [j29]Edward J. C. Hall, Paul Houston, Steven Murphy:
hp-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j28]Paul Houston
, Thomas P. Wihler:
Adaptive energy minimisation for hp-finite element methods. Comput. Math. Appl. 71(4): 977-990 (2016) - 2015
- [j27]K. Andrew Cliffe, Joe Collis, Paul Houston
:
Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows. SIAM J. Sci. Comput. 37(2) (2015) - 2014
- [j26]K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
:
hp-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Comput. Math. Appl. 67(4): 796-806 (2014) - [j25]Stefano Giani
, Paul Houston
:
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. J. Comput. Appl. Math. 270: 32-42 (2014) - [j24]Paola F. Antonietti
, Stefano Giani
, Paul Houston
:
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. J. Sci. Comput. 60(1): 203-227 (2014) - 2013
- [j23]Scott Congreve
, Paul Houston
, Thomas P. Wihler:
Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs. J. Sci. Comput. 55(2): 471-497 (2013) - [j22]Paola F. Antonietti
, Stefano Giani
, Paul Houston
:
hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. SIAM J. Sci. Comput. 35(3) (2013) - [p1]Paola F. Antonietti
, Paul Houston
:
Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 231-238 - 2012
- [j21]K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
, Eric T. Phipps, Andrew G. Salinger:
Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry. J. Sci. Comput. 52(1): 153-179 (2012) - 2011
- [j20]Paola F. Antonietti
, Paul Houston
:
A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 46(1): 124-149 (2011) - [j19]K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
, Eric T. Phipps, Andrew G. Salinger:
Adaptivity and a Posteriori Error Control for Bifurcation Problems II: Incompressible Fluid Flow in Open Systems with Z2 Symmetry. J. Sci. Comput. 47(3): 389-418 (2011) - 2010
- [j18]K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
:
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows. SIAM J. Sci. Comput. 31(6): 4607-4632 (2010)
2000 – 2009
- 2009
- [j17]Paul Houston
, Dominik Schötzau, Xiaoxi Wei
:
A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics. J. Sci. Comput. 40(1-3): 281-314 (2009) - 2008
- [j16]Ralf Hartmann
, Paul Houston
:
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. J. Comput. Phys. 227(22): 9670-9685 (2008) - 2007
- [j15]Emmanuil H. Georgoulis, Edward J. C. Hall, Paul Houston:
Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis. Int. J. Comput. Sci. Math. 1(2/3/4): 221-244 (2007) - [j14]Emmanuil H. Georgoulis, Edward J. C. Hall, Paul Houston
:
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes. SIAM J. Sci. Comput. 30(1): 246-271 (2007) - 2005
- [j13]Paul Houston
, Ilaria Perugia
, Dominik Schötzau:
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. J. Sci. Comput. 22(1): 315-346 (2005) - [j12]Paul Houston, Dominik Schötzau, Thomas P. Wihler:
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem. J. Sci. Comput. 22(1): 347-370 (2005) - [j11]Paul Houston, Ilaria Perugia
, Anna Schneebeli, Dominik Schötzau:
Interior penalty method for the indefinite time-harmonic Maxwell equations. Numerische Mathematik 100(3): 485-518 (2005) - 2004
- [j10]Paul Houston
, Ilaria Perugia
, Dominik Schötzau:
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. SIAM J. Numer. Anal. 42(1): 434-459 (2004) - 2003
- [j9]Ralf Hartmann
, Paul Houston
:
Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 24(3): 979-1004 (2003) - 2002
- [j8]Paul Houston, Max Jensen, Endre Süli:
hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. J. Sci. Comput. 17(1-4): 3-25 (2002) - [j7]Darragh McInerney, David Gavaghan
, Michael Jeffrey Ward, Paul Houston
, Philip K. Maini:
The Dynamics and Pinning of a Spike for a Reaction-Diffusion System. SIAM J. Appl. Math. 62(4): 1297-1328 (2002) - [j6]Paul Houston
, Christoph Schwab, Endre Süli
:
Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 39(6): 2133-2163 (2002) - 2001
- [j5]Paul Houston
, Endre Süli
:
Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. Computing 66(2): 99-119 (2001) - [j4]Paul Houston, Endre Süli:
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Math. Comput. 70(233): 77-106 (2001) - [j3]Paul Houston
, Endre Süli
:
hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems. SIAM J. Sci. Comput. 23(4): 1226-1252 (2001) - 2000
- [j2]Paul Houston
, Christoph Schwab, Endre Süli:
Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. SIAM J. Numer. Anal. 37(5): 1618-1643 (2000)
1990 – 1999
- 1999
- [j1]Paul Houston
, John A. Mackenzie, Endre Süli, Gerald Warnecke:
A posteriori error analysis for numerical approximations of Friedrichs systems. Numerische Mathematik 82(3): 433-470 (1999)
Coauthor Index
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