David Kay : Publications
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@article{McCormick_2012,
title = "Simulating Left Ventricular Fluid-Solid Mechanics through the Cardiac Cycle under LVAD Support",
author = "M. McCormick and D. Nordsletten and D. Kay and N. Smith",
year = "2012",
journal = "Journal of Computational Physics",
doi = "10.1016/j.jcp.2012.08.008",
}
@article{SIAM_APP_RAF_2012,
title = "A Bidomain Model of the Ventricular Specialized Conduction System of the Heart",
author = "R. Bordas and K. Gillow and B. Rodriguez and D. Gavaghan and D. Kay",
year = "2012",
journal = "SIAM Journal on Applied Mathematics",
number = "5",
pages = "1618--1643",
url = "epubs.siam.org/doi/pdf/10.1137/11082796X",
volume = "72",
}
@article{Asner_tavener_kay_2012,
title = "Adjoint-based a posteriori error estimation for coupled time-dependent systems",
author = "Liya Asner and Simon Tavener and David Kay",
year = "2012",
journal = "SIAM Journal on Scientific Computing",
pages = "2394--2419",
volume = "34(4)",
}
@article{dangerfield2012modeling,
title = "Modeling ion channel dynamics through reflected stochastic differential equations",
author = "Dangerfield, C. and Kay, D. and Burrage, K.",
year = "2012",
journal = "Phys. Rev. E",
number = "5",
volume = "85",
}
@article{burrage2011efficient,
title = "An efficient implementation of an implicit FEM scheme for fractional-in-space reaction-diffusion equations",
author = "Burrage, K. and Hale, N. and Kay, D.",
year = "2012",
journal = "SIAM Journal on Scientific Computing",
pages = "2145--2172",
publisher = "SIAM",
volume = "34(4)",
}
@article{Arthurs_uniform,
title = "Efficient Simulation of Cardiac Electrical Propagation using High Order Finite Elements",
author = "C. Arthurs and M. Bishop and D. Kay",
year = "2012",
journal = "Journal of Computational Physics",
pages = "3946-3962",
volume = "231",
doi = "10.1016/j.jcp.2012.01.037",
}
@article{Aaron_2011_1,
title = "Multi-cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells",
author = "G. Trichas and A. Smith and N. White and V. Wilkins and A. Moore and B. Joyce and J. Sugnaseelan and T. Rodriguez and D. Kay and R. Baker and P. Maini and S. Srinivas",
year = "2012",
journal = "PLoS Biology",
}
@article{Pras_2011_1,
title = "Computational modelling of cardiac electro-physiology: explanation of the variability of results from different numerical solvers",
author = "P. Pathmanathan and M. Bernabeu and S. Niederer and D. Gavaghan and D. Kay",
year = "2012",
journal = "Int. J. Numerical Methods in Biomedical Engineering",
number = "8",
pages = "890-903",
volume = "28",
doi = "10.1002/cnm.2467",
}
@article{smith2011incorporating,
title = "Incorporating chemical signalling factors into cell-based models of growing epithelial tissues",
author = "Smith, A.M. and Baker, R.E. and Kay, D. and Maini, P.K.",
year = "2011",
journal = "Journal of mathematical biology",
pages = "1--23",
publisher = "Springer",
}
@article{bernabeu2011scalable,
title = "Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package",
author = "Bernabeu, M.O. and Kay, D.",
year = "2011",
journal = "Procedia Computer Science",
pages = "821--830",
publisher = "Elsevier BV",
volume = "4",
}
@article{dangerfield2011boundary,
title = "A boundary preserving numerical algorithm for the Wright-Fisher model with mutation",
author = "Dangerfield, CE and Kay, D. and MacNamara, S. and Burrage, K.",
year = "2011",
journal = "BIT Numerical Mathematics",
pages = "1--22",
publisher = "Springer",
}
@article{mccormick2011modelling,
title = "Modelling left ventricular function under assist device support",
author = "McCormick, M. and Nordsletten, D. and Kay, D. and Smith, N.",
year = "2011",
journal = "International Journal for Numerical Methods in Biomedical Engineering",
publisher = "Wiley Online Library",
}
@article{nordsletteneal_1_2010,
title = "Fluid-Solid Coupling for the Investigation of Diastolic and Systolic Human Left Ventricular Function",
author = "D. A. Nordsletten and M. McCormick and P. Kilner, D. Kay and N. P. Smith",
year = "2011",
journal = "International Journal for Numerical Methods in Biomedical Engineering",
pages = "1017--1039",
volume = "27(7)",
doi = "DOI: 10.1002/cnm.1405",
}
@inproceedings{dangerfield2011comparison,
title = "Comparison of continuous and discrete stochastic ion channel models",
author = "Dangerfield, C.E. and Kay, D. and Burrage, K.",
year = "2011",
booktitle = "Engineering in Medicine and Biology Society, EMBC, 2011 Annual International Conference of the IEEE",
organization = "IEEE",
pages = "704--707",
}
@article{kay2010stochastic,
title = "Stochastic models and simulation of ion channel dynamics",
author = "Kay, D. and others",
year = "2010",
journal = "Procedia Computer Science",
volume = "1",
}
@article{mccormick2010fluid,
title = "Fluid-mechanics simulations of ventricular function under LVAD support",
author = "McCormick, M. and Nordsletten, D. and Vecchi, A. and Kay, D. and Smith, NP",
year = "2010",
journal = "World Congress on Medical Physics and Biomedical Engineering, September 7-12, 2009, Munich, Germany",
pages = "1572--1575",
publisher = "Springer",
}
@article{nordsletten2010preconditioner,
title = "A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian--Eulerian Navier--Stokes Equations",
author = "Nordsletten, D. and Smith, N. and Kay, D.",
year = "2010",
journal = "SIAM Journal on Scientific Computing",
pages = "521--543",
volume = "32",
}
@article{nordsletten2010non,
title = "A non-conforming monolithic finite element method for problems of coupled mechanics",
author = "Nordsletten, D. and Kay, D. and Smith, N.",
year = "2010",
journal = "Journal of Computational Physics",
number = "20",
pages = "7571--7593",
publisher = "Elsevier",
volume = "229",
}
@article{kay2010adaptive,
title = "Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations",
author = "Kay, D.A. and Gresho, P.M. and Griffiths, D.F. and Silvester, D.J.",
year = "2010",
journal = "SIAM Journal on Scientific Computing",
pages = "111--128",
volume = "32",
}
@article{bernetal2010a,
title = "Stimulus protocol determines the most computationally-efficient preconditioner for the bidomain equations",
author = "Miguel Bernabeu and Pras Pathmanathan and Joe Pitt-Francis and David Kay",
year = "2010",
journal = "IEEE Transactions on Biomedical Engineering",
pages = "2806--2815",
volume = "57",
}
@article{kay2009color,
title = "Color Image Segmentation by the Vector-Valued Allen--Cahn Phase-Field Model: A Multigrid Solution",
author = "Kay, D.A. and Tomasi, A.",
year = "2009",
journal = "Image Processing, IEEE Transactions on",
number = "10",
pages = "2330--2339",
publisher = "IEEE",
volume = "18",
}
@article{kay2009discontinuous,
title = "Discontinuous Galerkin finite element approximation of the Cahn--Hilliard equation with convection",
author = "Kay, D. and Styles, V. and S{\"u}li, E.",
year = "2009",
journal = "SIAM Journal on Numerical Analysis",
number = "4",
pages = "2660--2685",
publisher = "Society for Industrial and Applied Mathematics",
volume = "47",
}
@article{lee2009coupling,
title = "Coupling contraction, excitation, ventricular and coronary blood flow across scale and physics in the heart",
author = "Lee, J. and Niederer, S. and Nordsletten, D. and Le Grice, I. and Smail, B. and Kay, D. and Smith, N.",
year = "2009",
journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
number = "1896",
pages = "2311",
publisher = "The Royal Society",
volume = "367",
}
@article{kay2008finite,
title = "Finite element approximation of a Cahn-Hilliard-Navier-Stokes system",
author = "Kay, D. and Styles, V. and Welford, R.",
year = "2008",
journal = "Interfaces Free Bound",
pages = "15--43",
volume = "10",
}
@article{kay2007efficient,
title = "Efficient numerical solution of Cahn--Hilliard--Navier--Stokes fluids in 2D",
author = "Kay, D. and Welford, R.",
year = "2007",
journal = "SIAM Journal on Scientific Computing",
pages = "2241",
volume = "29",
}
@article{kaysagtang,
title = "Mathematical analysis of an integral equation arising from population dynamics",
author = "Kay, DA and Sagheer, M. and Tang, Q.",
year = "2007",
journal = "Mathematical biosciences",
number = "2",
pages = "415--435",
publisher = "Elsevier",
volume = "210",
doi = "10.1016/j.mbs.2007.05.013",
}
@article{kay2006block,
title = "A Block Preconditioner for High-Order Mixed Finite Element Approximations to the Navier--Stokes Equations",
author = "Kay, D. and Lungu, E.",
year = "2006",
journal = "SIAM Journal on Scientific Computing",
pages = "1867",
volume = "27",
}
@article{venables2006time,
title = "Time-dependent annealing and deposition on substrates with repulsive interactions",
author = "Venables, JA and DeGraffenreid, J. and Kay, D. and Yang, P.",
year = "2006",
journal = "Physical Review B",
number = "7",
pages = "075412",
publisher = "APS",
volume = "74",
}
@article{kay2006multigrid,
title = "A multigrid finite element solver for the Cahn--Hilliard equation",
author = "Kay, D. and Welford, R.",
year = "2006",
journal = "Journal of Computational Physics",
number = "1",
pages = "288--304",
publisher = "Elsevier",
volume = "212",
}
@article{elliott2005finite,
title = "Finite element analysis of a current density--electric field formulation of Bean's model for superconductivity",
author = "Elliott, CM and Kay, D. and Styles, V.",
year = "2005",
journal = "IMA journal of numerical analysis",
number = "1",
pages = "182--204",
publisher = "Oxford University Press",
volume = "25",
}
@article{elliott2005finite,
title = "A finite element approximation of a variational inequality formulation of Bean's model for superconductivity",
author = "Elliott, CM and Kay, D. and Styles, V.",
year = "2005",
journal = "SIAM journal on numerical analysis",
pages = "1324--1341",
publisher = "JSTOR",
}
@article{kay2002preconditioner,
title = "A Preconditioner for the Steady-State Navier--Stokes Equations",
author = "Kay, D. and Loghin, D. and Wathen, A.",
year = "2002",
journal = "SIAM Journal on Scientific Computing",
pages = "237",
volume = "24",
}
@techreport{elmanetal2002,
title = "A preconditioner for the 3D Oseen equations",
author = "H. Elman and D. Kay and D. Loghin and D. J. Silvester and A. J. Wathen",
year = "2002",
journal = "Oxford Numerical Analysis Group",
number = "4",
volume = "NA-02",
}
@article{wathen2001new,
title = "A new preconditioner for the Oseen equations",
author = "A. J. Wathen and D. Loghin and D. Kay and H. C. Elman and D. J. Silvester",
year = "2001",
journal = "Proceedings of the European Conference on Numerical Mathematics and Advanced Applications",
}
@article{kay2001reliability,
title = "The reliability of local error estimators for convection--diffusion equations",
author = "Kay, D. and Silvester, D.",
year = "2001",
journal = "IMA journal of numerical analysis",
number = "1",
pages = "107--122",
publisher = "Oxford University Press",
volume = "21",
}
@article{silvester2001efficient,
title = "Efficient preconditioning of the linearized Navier-Stokes equations",
author = "D. Silvester, H. Elman, D. Kay, A.W.",
year = "2001",
journal = "Journal of Computational and Applied Mathematics",
number = "1-2",
pages = "261--279",
volume = "128",
}
@article{ainsworth2000approximation,
title = "Approximation theory for the hp-version finite element method and application to the non-linear Laplacian",
author = "Ainsworth, M. and Kay, D.",
year = "2000",
journal = "Applied numerical mathematics",
number = "4",
pages = "329--344",
publisher = "Elsevier",
volume = "34",
}
@article{harrimanetal2000,
title = "Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes",
author = "Harriman, K. and Gavaghan, D.J. and Houston, P. and Kay, D. and Suli, E.",
year = "2000",
issn = "1388-2481",
journal = "Electrochemistry communications",
number = "8",
pages = "576--585",
publisher = "Elsevier",
volume = "2",
doi = "10.1016/S1388-2481(00)00075-8",
}
@article{ainsworth1999approximation,
title = "The approximation theory for the p-version finite element method and application to non-linear elliptic PDEs",
author = "Ainsworth, M. and Kay, D.",
year = "1999",
journal = "Numerische Mathematik",
number = "3",
pages = "351--388",
publisher = "Springer",
volume = "82",
}
@article{kay1999green,
title = "A Green's function preconditioner for the steady-state Navier-Stokes equations",
author = "Kay, D. and Loghin, D.",
year = "1999",
publisher = "Unspecified",
}
@article{kay1999posteriori,
title = "A posteriori error estimation for stabilized mixed approximations of the Stokes equations",
author = "Kay, D. and Silvester, D.",
year = "1999",
journal = "SIAM Journal on Scientific Computing",
pages = "1321",
volume = "21",
}
@article{ainsworthkay1999,
title = "The approximation theory for the p-version finite element method and application to non-linear elliptic PDE's",
author = "M. Ainsworth and D. Kay",
year = "1999",
journal = "Num. Math.",
pages = "351--388",
volume = "82",
doi = "10.1007/s002110050423",
}
@inproceedings{elman1999efficient,
title = "Efficient preconditioning of the linearized Navier-Stokes equations",
author = "Elman, H. and Wathen, A. and Silvester, D. and Elman, H. and Kay, D.",
year = "1999",
booktitle = "J. Comp. Appl. Math",
organization = "Citeseer",
}
@book{kay1997p,
title = "The P-and Hp-Finite Element Method Applied to a Class of Non-linear Elliptic Partial Differential Equations",
author = "Kay, D.",
year = "1997",
publisher = "University of Leicester",
}
@inproceedings{ainskay1,
title = "The rate of convergence of the p-version finite element method for the non-linear Laplacian",
author = "M. Ainsworth and D. Kay",
year = "1996",
booktitle = "Prague Mathematical Conference 1996",
}
@article{burragereport,
title = "Report Number 11/42",
author = "Burrage, K. and Hale, N. and Kay, D.",
}