A posteriori error analysis for numerical approximations of Friedrichs systems. - Paul Houston; John A. Mackenzie; Endre Süli; Gerald Warnecke (Numerische Mathematik, 1999)

Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. - Paul Houston; Christoph Schwab; Endre Süli (SIAM J. Numer. Anal., 2000)

Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. - Paul Houston; Endre Süli (Computing, 2001)

Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. - Paul Houston; Endre Süli (Math. Comput., 2001)

hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems. - Paul Houston; Endre Süli (SIAM J. Sci. Comput., 2001)

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. - Paul Houston; Max Jensen; Endre Süli (J. Sci. Comput., 2002)

The Dynamics and Pinning of a Spike for a Reaction-Diffusion System. - Darragh McInerney; David Gavaghan; Michael Jeffrey Ward; Paul Houston; Philip K. Maini (SIAM J. Appl. Math., 2002)

Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. - Paul Houston; Christoph Schwab; Endre Süli (SIAM J. Numer. Anal., 2002)

Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws. - Ralf Hartmann; Paul Houston (SIAM J. Sci. Comput., 2003)

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. - Paul Houston; Ilaria Perugia; Dominik Schötzau (SIAM J. Numer. Anal., 2004)

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. - Paul Houston; Ilaria Perugia; Dominik Schötzau (J. Sci. Comput., 2005)

Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem. - Paul Houston; Dominik Schötzau; Thomas P. Wihler (J. Sci. Comput., 2005)

Interior penalty method for the indefinite time-harmonic Maxwell equations. - Paul Houston; Ilaria Perugia; Anna Schneebeli; Dominik Schötzau (Numerische Mathematik, 2005)

Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis. - Emmanuil H. Georgoulis; Edward J. C. Hall; Paul Houston (Int. J. Comput. Sci. Math., 2007)

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes. - Emmanuil H. Georgoulis; Edward J. C. Hall; Paul Houston (SIAM J. Sci. Comput., 2007)

An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. - Ralf Hartmann; Paul Houston (J. Comput. Phys., 2008)

A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics. - Paul Houston; Dominik Schötzau; Xiaoxi Wei (J. Sci. Comput., 2009)

Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows. - K. Andrew Cliffe; Edward J. C. Hall; Paul Houston (SIAM J. Sci. Comput., 2010)

A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods. - Paola F. Antonietti; Paul Houston (J. Sci. Comput., 2011)

Adaptivity and a Posteriori Error Control for Bifurcation Problems II: Incompressible Fluid Flow in Open Systems with Z2 Symmetry. - K. Andrew Cliffe; Edward J. C. Hall; Paul Houston; Eric T. Phipps; Andrew G. Salinger (J. Sci. Comput., 2011)

Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry. - K. Andrew Cliffe; Edward J. C. Hall; Paul Houston; Eric T. Phipps; Andrew G. Salinger (J. Sci. Comput., 2012)

Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs. - Scott Congreve; Paul Houston; Thomas P. Wihler (J. Sci. Comput., 2013)

hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. - Paola F. Antonietti; Stefano Giani; Paul Houston (SIAM J. Sci. Comput., 2013)

Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems. - Paola F. Antonietti; Paul Houston (Domain Decomposition Methods in Science and Engineering XX, 2013)

hp-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. - K. Andrew Cliffe; Edward J. C. Hall; Paul Houston (Comput. Math. Appl., 2014)

Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. - Stefano Giani; Paul Houston (J. Comput. Appl. Math., 2014)

Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. - Paola F. Antonietti; Stefano Giani; Paul Houston (J. Sci. Comput., 2014)

Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows. - K. Andrew Cliffe; Joe Collis; Paul Houston (SIAM J. Sci. Comput., 2015)

Adaptive energy minimisation for hp-finite element methods. - Paul Houston; Thomas P. Wihler (Comput. Math. Appl., 2016)

hp-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems. - Edward J. C. Hall; Paul Houston; Steven Murphy (SIAM J. Sci. Comput., 2017)

Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods. - Paola F. Antonietti; Paul Houston; Giorgio Pennesi (J. Sci. Comput., 2018)

An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. - Paul Houston; Thomas P. Wihler (Math. Comput., 2018)

Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods. - Paul Houston; Nathan Sime (SIAM J. Sci. Comput., 2018)

Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. - Scott Congreve; Paul Houston; Ilaria Perugia (Adv. Comput. Math., 2019)

Presenting and sharing clinical data using the eTRIKS Standards Master Tree for tranSMART. - 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; et al. (Bioinform., 2019)

The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method. - Paul Houston; Ignacio Muga; Sarah Roggendorf; Kristoffer G. van der Zee (Comput. Methods Appl. Math., 2019)

Gibbs Phenomena for Lq-Best Approximation in Finite Element Spaces - Some Examples. - Paul Houston; Sarah Roggendorf; Kristoffer G. van der Zee (CoRR, 2019)

Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. - Paul Houston; Sarah Roggendorf; Kristoffer G. van der Zee (Comput. Math. Appl., 2020)

An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. - Paola F. Antonietti; Paul Houston; Giorgio Pennesi; Endre Süli (Math. Comput., 2020)

Linearisation of the Travel Time Functional in Porous Media Flows. - Paul Houston; Connor J. Rourke; Kristoffer G. van der Zee (CoRR, 2021)

Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. - Scott Congreve; Paul Houston (Adv. Comput. Math., 2022)

Linearization of the Travel Time Functional in Porous Media Flows. - Paul Houston; Connor J. Rourke; Kristoffer G. van der Zee (SIAM J. Sci. Comput., 2022)

A divergence free C0-RIPG stream function formulation of the incompressible Stokes system with variable viscosity. - Nathan Sime; Paul Houston; Cian R. Wilson; Peter E. van Keken (CoRR, 2023)

Quadrature-Free Polytopic Discontinuous Galerkin Methods for Transport Problems. - Thomas J. Radley; Paul Houston; Matthew E. Hubbard (CoRR, 2023)

Analysis of Iterative Methods for the Linear Boltzmann Transport Equation. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley (CoRR, 2023)

Iterative solution methods for high-order/hp-DGFEM approximation of the linear Boltzmann transport equation. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley (Comput. Math. Appl., 2024)

Exponential Convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. - Yanchen He; Paul Houston; Christoph Schwab; Thomas P. Wihler (CoRR, 2024)

Gradient Flow Finite Element Discretisations with Energy-Based hp-Adaptivity for the Gross-Pitaevskii Equation with Angular Momentum Rotation. - Pascal Heid; Paul Houston; Benjamin Stamm; Thomas P. Wihler (CoRR, 2024)

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley; Oliver J. Sutton; Richard S. J. Widdowson (J. Sci. Comput., 2024)