World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
7396
World Ranking
1100
National Ranking
85

Engineering and Technology

D-Index
51
Citations
7580
World Ranking
3964
National Ranking
267

Research.com Recognitions

  • 2002 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Paul Houston is affiliated with the University of Nottingham in the United Kingdom. Their research primarily focuses on engineering, with a strong emphasis on computational mechanics and mathematical modeling.

The scientist's work spans key fields, including:

  • Engineering
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Mechanics of Materials
  • Radiology, Nuclear Medicine and Imaging

The main topics addressed in their publications include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Electromagnetic Simulation and Numerical Methods
  • MRI in cancer diagnosis
  • Fetal and Pediatric Neurological Disorders

Recent papers by Paul Houston cover several aspects of numerical methods and computational modeling, listed here with the year and publication venue:

  • Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation (2020, arXiv [Cornell University])
  • Gibbs phenomena for Lq-best approximation in finite element spaces (2021, ESAIM. Mathematical modelling and numerical analysis)
  • Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport (2024, Journal of Scientific Computing)
  • Iterative solution methods for high-order/hp-DGFEM approximation of the linear Boltzmann transport equation (2024, Computers & Mathematics with Applications)

Frequent publication venues include:

  • arXiv (Cornell University)
  • Computers & Mathematics with Applications
  • ESAIM. Mathematical modelling and numerical analysis
  • Journal of Scientific Computing
  • Magnetic Resonance in Medicine

Collaborators frequently associated with Paul Houston's work are:

  • M.E. Hubbard
  • Thomas J. Radley
  • Kristoffer G. van der Zee
  • Thomas P. Wihler
  • Sarah Roggendorf

Paul Houston was awarded the title of Fellow of the American Association for the Advancement of Science (AAAS) in 2002.

Best Publications

  • Discontinuous hp -Finite Element Methods for Advection-Diffusion-Reaction Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations

    Ralf Hartmann;Paul Houston

  • hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

    Andrea Cangiani;Emmanuil H. Georgoulis;Paul Houston

  • A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

    Paul Houston;Endre Süli

  • Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws

    Ralf Hartmann;Paul Houston

  • Interior penalty method for the indefinite time-harmonic Maxwell equations

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

  • ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS

    Paul Houston;Dominik Schötzau;Thomas P. Wihler

  • Stabilized hp -Finite Element Methods for First-Order Hyperbolic Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • hp -Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems

    Paul Houston;Endre Süli

  • An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations

    Ralf Hartmann;Paul Houston

  • Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

    Paul Houston;Ilaria Perugia;Dominik Schotzau

  • Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation

    Ralf Hartmann;Paul Houston

  • A posteriori error analysis for stabilised finite element approximations of transport problems

    Paul Houston;Rolf Rannacher;Endre Süli

  • A posteriori error analysis for numerical approximations of Friedrichs systems

    Paul Houston;John A. Mackenzie;Endre Süli;Gerald Warnecke

  • Adaptive Finite Element Approximation of Hyperbolic Problems

    Endre Süli;Paul Houston

  • A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

    Paola F. Antonietti;Paul Houston

  • $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

    Paola F. Antonietti;Stefano Giani;Paul Houston

  • Discontinuous Galerkin methods for the biharmonic problem

    Emmanuil H. Georgoulis;Paul Houston

  • hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form.

    Kathryn Harriman;P. Houston;Bill Senior;Endre Suli

  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation

    Ralf Hartmann;Paul Houston

  • hp-DGFEM for partial differential equations with nonnegative characteristic form

    Endre Süli;Christoph Schwab;Paul Houston

  • Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

Frequent Co-Authors

Endre Süli
Endre Süli University of Oxford
Ilaria Perugia
Ilaria Perugia University of Vienna
Dominik Schötzau
Dominik Schötzau University of British Columbia
Philip K. Maini
Philip K. Maini University of Oxford
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Reinhard Schneider
Reinhard Schneider University of Luxembourg
Rudi Balling
Rudi Balling University of Bonn
Barbara E. Bierer
Barbara E. Bierer Brigham and Women's Hospital
Pericle Zanchetta
Pericle Zanchetta University of Nottingham

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