David Kay : Publications
Journal papers
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[1] |
Efficient Simulation of Cardiac Electrical Propagation using High Order Finite Elements C. Arthurs‚ M. Bishop and D. Kay In Journal of Computational Physics. To Appear. |
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[2] |
Multi−cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells G. Trichas‚ A. Smith‚ N. White‚ V. Wilkins‚ A. Moore‚ B. Joyce‚ J. Sugnaseelan‚ T. Rodriguez‚ D. Kay‚ R. Baker‚ P. Maini and S. Srinivas In PLoS Biology. To Appear. |
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[3] |
Computational modelling of cardiac electro−physiology: explanation of the variability of results from different numerical solvers P. Pathmanathan‚ M. Bernabeu‚ S. Niederer‚ D. Gavaghan and D. Kay In J. Numerical Methods in Biomedical Engineering. To Appear. |
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[4] |
A Boundary Preserving Numerical Algorithm for the Wright−Fisher Model with Mutation C. E. Dangerfield‚ D. Kay‚ S. Macnamara and K. Burrage In BIT Num. Math.. 2011. |
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[5] |
Incorporating a model of chemical signalling factors into a cell−based model of growing epithelial tissues‚ A. M. Smith‚ R. E. Baker‚ D. Kay and P. K. Maini In J. Math. Bio.. To Appear. |
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[6] |
A block preconditioner for high order mixed finite element approximations to the Navier−Stokes equations D. Kay and E. Lungu In SIAM J. Sci. Comp.. Vol. 27. No. 6. Pages 1867–1880. 2006. |
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[7] |
Time−dependent annealing and deposition on substrates with repulsive interactions J. A. Venables‚ J. DeGraffenreid‚ D. Kay and P. Yang In Phys. Rev. B. Vol. 74. 2006. |
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[8] |
Efficient Numerical Solution of Cahn−Hilliard−Navier−Stokes Fluids in 2D D. Kay and R. Welford In SIAM J. Sci. Comp.. Pages 2241–2257. 2007. |
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[9] |
Mathematical Analysis of an integral equation arising from population dynamics D. A. Kay‚ M. Sagheer and Q. Tang In Mathematical Biosciences. Vol. 210. No. 2. Pages 415–435. 2007. |
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[10] |
Finite element approximation of a Cahn−Hilliard−Navier−Stokes system D. Kay‚ V. Styles and R. Welford In Interfaces and free Boundaries. Vol. 10. No. 1. Pages 15–43. 2008. |
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[11] |
Colour image sementation by the vector−valued Allen−Cahn phase−field model: a multigrid solution D. Kay and A. Tomasi In IEEE Trans. Image Proc.. Vol. 18. No. 10. Pages 2330–2339. 2009. |
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[12] |
Discontinuous Galerkin finite element approximation of the Cahn–Hilliard equation with convection David Kay‚ Vanessa Styles and Endre Suli In SIAM J. Num Anal.. Vol. 47. Pages 2660–2685. 2009. |
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[13] |
Coupling Contraction‚ Excitation‚ Ventricular and Coronary Blood Flow across scale and physics in the Heart Jack Lee‚ Steven Niederer‚ David Nordsletten‚ David Kay and Nicolas Smith In Phil. Trans. R. Soc. A. Vol. 367. Pages 2311–2331. 2009. |
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[14] |
A Preconditioner for the Finite Element Approximation to the ALE Navier−Stokes Equations David Nordsletten‚ Nic Smith and David Kay In SIAM J. Sci. Comp.. Vol. 32. No. 2. Pages 521–543. 2010. |
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[15] |
Adaptive time−stepping for incompressible flow Part II: Navier−Stokes Equations David A. Kay‚ Philip M. Gresho‚ David F. Griffiths and David J. Silvester In SIAM J. Sci. Comp.. Vol. 32. No. 1. Pages 111−128. 2010. |
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[16] |
Fluid−Solid Coupling for the Investigation of Diastolic and Systolic Human Left Ventricular Function D. A. Nordsletten‚ M. McCormick‚ D. Kay P. Kilner and N. P. Smith In International Journal for Numerical Methods in Biomedical Engineering. Vol. 27(7). Pages 1017–1039. 2011. |
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[17] |
A Non−conforming Monolithic Finite Element Method for Problems of coupled mechanics D. Nordsletten‚ D. Kay and N. Smith In J. Comp. Phys.. Vol. 229. Pages 7571–7593. 2010. |
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[18] |
Stimulus protocol determines the most computationally−efficient preconditioner for the bidomain equations Miguel Bernabeu‚ Pras Pathmanathan‚ Joe Pitt−Francis and David Kay In IEEE Transactions on Biomedical Engineering. Vol. 57. Pages 2806–2815. 2010. |
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[19] |
Modelling Left Ventricular Function under Assist Device Support M. McCormick‚ D. Nordsletten‚ D. Kay and N. Smith In International Journal for Numerical Methods in Biomedical Engineering. Vol. 27. Pages 1073–1095. 2011. |
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[20] |
A Multigrid Finite Element Solver for the Cahn−Hilliard Equation D. Kay and R. Welford In J. Comp. Phys.. Vol. 212. No. 1. Pages 288−304. 2006. |
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[21] |
Finite Element Analysis of a Current Density − Electric Field Formulation of Bean's Model for Superconductivity C. M. Elliott‚ D. Kay and V. Styles In IMA J. Num. Anal.. Vol. 25. Pages 182–204. 2005. |
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[22] |
Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity C. M. Elliott‚ D. Kay and V. Styles In SIAM J. Num. Anal.. Vol. 42. No. 3. Pages 1324–1341. 2004. |
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[23] |
A Preconditioner for the Steady−State Navier−Stokes Equations D. Kay‚ D. Loghin and A. J. Wathen In SIAM J. Sci. Comput.. Vol. 24. Pages 237–256. 2002. |
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[24] |
The reliability of local error estimators for convection−diffusion equations D. Kay and David Silvester In IMA J. Num. Anal.. Vol. 21. Pages 107–122. 2001. |
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[25] |
Efficient preconditioning of the linearized Navier−Stokes equations D. J. Silvester H. Elman D. Kay and A. Wathen In J. Comput. Appl. Math.. Pages 261–279. 2001. |
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[26] |
Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes K. Harriman‚ D. J. Gavaghan‚ P. Houston an D. Kay and E. Suli In Electrochemistry Comm.. Vol. 2. No. 8. Pages 576–585. 2000. |
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[27] |
Approximation theory for the hp−version finite element method and application to the non−linear Laplacian M. Ainsworth and D. Kay In Appl. Num. Math.. Vol. 34. Pages 329–344. 2000. |
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[28] |
A posteriori error estimation for stabilized mixed approximations of the Stokes equations D. Kay and D. J. Silvester In SIAM J. Sci. Comput.. Vol. 21. No. 4. Pages 1321–1336. 1999. |
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[29] |
The approximation theory for the p−version finite element method and application to non−linear elliptic PDE's M. Ainsworth and D. Kay In Num. Math.. Vol. 82. Pages 351–388. 1999. |
Conference papers
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[1] |
The rate of convergence of the p−version finite element method for the non−linear Laplacian M. Ainsworth and D. Kay In Prague Mathematical Conference 1996. 1996. |
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[2] |
Fluid−mechanics simulations of ventricular function under LVAD support M. McCormick‚ D. Nordsletten‚ A.de Vecchi‚ D. Kay and N. Smith Pages 1572–1575. 2009. |
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[3] |
Stochastic models and simulation of ion channel dynamics C. Dangerfield‚ D. Kay and K. Burrage Vol. 1. No. 1. Pages 1581−1590. 2010. |
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[4] |
A new preconditioner for the Oseen equations A. J. Wathen‚ D. Loghin‚ D. Kay‚ H. C. Elman and D. J. Silvester 2001. |
Conference proceedings
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[1] |
Comparison of Continuous and Discrete Stochastic Ion Channel Models.
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[2] |
Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package
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Technical reports
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[1] |
A preconditioner for the 3D Oseen equations H. Elman‚ D. Kay‚ D. Loghin‚ D. J. Silvester and A. J. Wathen No. 4. 2002. |