The approximation theory for the p-version finite element method and application to non-linear elliptic PDEs. - Mark Ainsworth; David Kay (Numerische Mathematik, 1999)

A Preconditioner for the Steady-State Navier-Stokes Equations. - David Kay; Daniel Loghin; Andrew J. Wathen (SIAM J. Sci. Comput., 2002)

A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity. - Charles M. Elliott; David Kay; Vanessa Styles (SIAM J. Numer. Anal., 2004)

A multigrid finite element solver for the Cahn-Hilliard equation. - David Kay; Richard Welford (J. Comput. Phys., 2006)

A Block Preconditioner for High-Order Mixed Finite Element Approximations to the Navier-Stokes Equations. - David Kay; Emil Lungu (SIAM J. Sci. Comput., 2006)

Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D. - David Kay; Richard Welford (SIAM J. Sci. Comput., 2007)

Digital Libraries, Personalisation, and Network Effects - Unpicking the Paradoxes. - Joy Palmer; Caroline Williams; Paul Walk; David Kay; Dean Rehberger; Bill Hart-Davidson (ECDL, 2009)

Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection. - David Kay; Vanessa Styles; Endre Süli (SIAM J. Numer. Anal., 2009)

A non-conforming monolithic finite element method for problems of coupled mechanics. - David Nordsletten; David Kay; Nicolas Smith (J. Comput. Phys., 2010)

Stochastic models and simulation of ion channel dynamics. - C. E. Dangerfield; David Kay; Kevin Burrage (ICCS, 2010)

A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian–Eulerian Navier–Stokes Equations. - David Nordsletten; Nicolas Smith; David Kay (SIAM J. Sci. Comput., 2010)

Stimulus Protocol Determines the Most Computationally Efficient Preconditioner for the Bidomain Equations. - Miguel O. Bernabeu; Pras Pathmanathan; Joe Pitt-Francis; David Kay (IEEE Trans. Biomed. Eng., 2010)

Comparison of continuous and discrete stochastic ion channel models. - Ciara Ellen Dangerfield; David Kay; Kevin Burrage (EMBC, 2011)

Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package. - Miguel O. Bernabeu; David Kay (ICCS, 2011)

Efficient simulation of cardiac electrical propagation using high order finite elements. - Christopher J. Arthurs; Martin J. Bishop 001; David Kay (J. Comput. Phys., 2012)

A Bidomain Model of the Ventricular Specialized Conduction System of the Heart. - Rafel Bordas; Kathryn Gillow; David Gavaghan; Blanca Rodríguez; David Kay (SIAM J. Appl. Math., 2012)

Adjoint-Based a Posteriori Error Estimation for Coupled Time-Dependent Systems. - Liya Asner; Simon Tavener; David Kay (SIAM J. Sci. Comput., 2012)

An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations. - Kevin Burrage; Nicholas Hale; David Kay (SIAM J. Sci. Comput., 2012)

Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version. - Christopher J. Arthurs; Martin J. Bishop 001; David Kay (J. Comput. Phys., 2013)

Simulating left ventricular fluid-solid mechanics through the cardiac cycle under LVAD support. - Matthew McCormick 002; David A. Nordsletten; David Kay; Nicolas Smith (J. Comput. Phys., 2013)

A Modified Oster-Murray-Harris Mechanical Model of Morphogenesis. - Benjamin L. Vaughan Jr.; Ruth E. Baker; David Kay; Philip K. Maini (SIAM J. Appl. Math., 2013)

An assessment of the impacts of a tidal renewable energy scheme on the eutrophication potential of the Severn Estuary, UK. - Margaret Kadiri; Reza Ahmadian; Bettina N. Bockelmann-Evans; Roger A. Falconer; David Kay (Comput. Geosci., 2014)

Fast Solvers for Cahn-Hilliard Inpainting. - Jessica Bosch; David Kay; Martin Stoll; Andrew J. Wathen (SIAM J. Imaging Sci., 2014)

Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity. - Lorenz Berger; Rafel Bordas; David Kay; Simon Tavener (SIAM J. Sci. Comput., 2015)

A computationally tractable scheme for simulation of the human pulmonary system. - Brody H. Foy; David Kay (J. Comput. Phys., 2019)

Chaste: Cancer, Heart and Soft Tissue Environment. - Fergus R. Cooper; Ruth E. Baker; Miguel O. Bernabeu; Rafel Bordas; Louise Bowler; Alfonso Bueno-Orovio; Helen M. Byrne; Valentina Carapella; Louie Cardone-Noott; Jonathan Cooper; Sara Dutta; Benjamin D. Evans; et al. (J. Open Source Softw., 2020)

Preconditioning nonlocal multi-phase flow. - David Kay; Vanessa Styles (J. Comput. Phys., 2021)