Paul Houston

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 24

Top Topics

Finite Element Methods

Boundary Value Problem

Numerical Integration

Top Venues

Comput. Math. Appl.

SIAM J. Sci. Comput.

J. Sci. Comput.

Publications

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 (2024)
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) (2024)
Yanchen He, Paul Houston, Christoph Schwab, Thomas P. Wihler
-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. CoRR (2024)
Paul Houston, Matthew E. Hubbard, Thomas J. Radley
Analysis of Iterative Methods for the Linear Boltzmann Transport Equation. CoRR (2023)
Nathan Sime, Paul Houston, Cian R. Wilson, Peter E. van Keken
-RIPG stream function formulation of the incompressible Stokes system with variable viscosity. CoRR (2023)
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 (2023)
Thomas J. Radley, Paul Houston, Matthew E. Hubbard
Quadrature-Free Polytopic Discontinuous Galerkin Methods for Transport Problems. CoRR (2023)
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) (2022)
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) (2022)
Paul Houston, Connor J. Rourke, Kristoffer G. van der Zee
Linearisation of the Travel Time Functional in Porous Media Flows. CoRR (2021)
Scott Congreve, Paul Houston
Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. CoRR (2021)
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) (2020)
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) (2020)
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) (2019)
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) (2019)
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 (2019)
Paul Houston, Sarah Roggendorf, Kristoffer G. van der Zee
-Best Approximation in Finite Element Spaces - Some Examples. CoRR (2019)
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) (2019)
Paul Houston, Nathan Sime
Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods. SIAM J. Sci. Comput. 40 (3) (2018)
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) (2018)
Paul Houston, Nathan Sime
Automatic symbolic computation for discontinuous Galerkin finite element methods. CoRR (2018)
Paul Houston, Thomas P. Wihler
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Math. Comput. 87 (314) (2018)
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)
Paul Houston, Thomas P. Wihler
Adaptive energy minimisation for hp-finite element methods. Comput. Math. Appl. 71 (4) (2016)
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)
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) (2014)
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) (2014)
Stefano Giani, Paul Houston
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. J. Comput. Appl. Math. 270 (2014)
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) (2013)
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)
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) (2012)
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston, Eric T. Phipps, Andrew G. Salinger
Symmetry. J. Sci. Comput. 47 (3) (2011)
Paola F. Antonietti, Paul Houston
-Discontinuous Galerkin Finite Element Methods. J. Sci. Comput. 46 (1) (2011)
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) (2010)
Paul Houston, Dominik Schötzau, Xiaoxi Wei
A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics. J. Sci. Comput. 40 (1-3) (2009)
Ralf Hartmann, Paul Houston
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations. J. Comput. Phys. 227 (22) (2008)
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) (2007)
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) (2007)
Paul Houston, Ilaria Perugia, Dominik Schötzau
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. J. Sci. Comput. 22 (1) (2005)
Paul Houston, Dominik Schötzau, Thomas P. Wihler
Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem. J. Sci. Comput. 22 (1) (2005)
Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau
Interior penalty method for the indefinite time-harmonic Maxwell equations. Numerische Mathematik 100 (3) (2005)
Paul Houston, Ilaria Perugia, Dominik Schötzau
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. SIAM J. Numer. Anal. 42 (1) (2004)
Ralf Hartmann, Paul Houston
Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 24 (3) (2003)
Paul Houston, Christoph Schwab, Endre Süli
-Finite Element Methods for Advection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 39 (6) (2002)
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) (2002)
Paul Houston, Max Jensen, Endre Süli
hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. J. Sci. Comput. 17 (1-4) (2002)
Paul Houston, Endre Süli
-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems. SIAM J. Sci. Comput. 23 (4) (2001)
Paul Houston, Endre Süli
Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. Computing 66 (2) (2001)
Paul Houston, Endre Süli
Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. Math. Comput. 70 (233) (2001)
Paul Houston, Christoph Schwab, Endre Süli
-Finite Element Methods for First-Order Hyperbolic Problems. SIAM J. Numer. Anal. 37 (5) (2000)
Paul Houston, John A. Mackenzie, Endre Süli, Gerald Warnecke
A posteriori error analysis for numerical approximations of Friedrichs systems. Numerische Mathematik 82 (3) (1999)