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David Kay: Publications

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[1]	A Multigrid Finite Element Solver for the Cahn-Hilliard Equation D. Kay, R. Welford J. Comp. Phys. Vol. 212, pages 288-304. 2006. Details \| BibTeX

[2]	A Non-conforming Monolithic Finite Element Method for Problems of coupled mechanics D. Nordsletten, D. Kay, N. Smith Submitted for Publication. Details \| BibTeX

[3]	A Preconditioner for the Finite Element Approximation to the ALE Navier-Stokes Equations David Nordsletten, Nic Smith, David Kay Submitted for Publication. Details \| BibTeX

[4]	A Preconditioner for the Steady-State Navier-Stokes Equations D. Kay, D. Loghin and A. J. Wathen SIAM J. Sci. Comput. Vol. 24, pages 237—256. 2002. Details \| BibTeX

[5]	A block preconditioner for high order mixed finite element approximations to the Navier-Stokes equations D. Kay, E. Lungu SIAM J. Sci. Comp. pages 1867—1880. 2006. Details \| BibTeX

[6]	A new preconditioner for the Oseen equations 2001. Details \| BibTeX

[7]	A non-conforming monolithic finite element method for problems of coupled mechanics: Linear Analysis D. A. Nordsletten, N. P. Smith, D. A. Kay Submitted for Publication. Details \| BibTeX

[8]	A posteriori error estimation for stabilized mixed approximations of the Stokes equations D. Kay, D. J. Silvester SIAM J. Sci. Comput. Vol. 21, No. 4, pages 1321—1336. 1999. Details \| BibTeX

[9]	A preconditioner for the 3D Oseen equations H. Elman, D. Kay, D. Loghin, D. J. Silvester, A. J. Wathen No. 4, Technical Report, 2002. Details \| BibTeX

[10]	Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and E C_2 E mechanisms at channel microband electrodes K. Harriman, D. J. Gavaghan, P. Houston, D. Kay, E. Suli Electrochemistry Comm. Vol. 2, pages 576—585. 2000. Details \| BibTeX

[11]	Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester SIAM J. Sci. Comp. To Appear. Details \| BibTeX

[12]	Analysis of a 1-D caricature model of morphogenesis with an identically zero eigenvalue B. L. Vaughan, Jr, R. E. Baker, D. A. Kay, P. K. Maini Submitted for Publication. Details \| BibTeX

[13]	Approximation theory for the hp-version finite element method and application to the non-linear Laplacian M. Ainsworth, D. Kay Appl. Num. Math. Vol. 34, pages 329—344. 2000. Details \| BibTeX

[14]	Colour image sementation by the vector-valued Allen-Cahn phase-field model: a multigrid solution D. Kay, A. Tomasi IEEE Trans. Image Proc. Vol. 18, No. 10, 2009. Details \| BibTeX

[15]	Coupling Contraction, Excitation, Ventricular and Coronary Blood Flow across scale and physics in the Heart Jack Lee , Steven Niederer, David Nordsletten, David Kay, Nicolas Smith Phil. Trans. R. Soc. A, Vol. 367, pages 2311—2331. 2009. Details \| BibTeX

[16]	Discontinuous Galerkin finite element approximation of the Cahn—Hilliard equation with convection David Kay, Vanessa Styles, Endre Suli SIAM J. Num Anal. Vol. 47, pages 2660—2685. 2009. Details \| BibTeX \| DOI (10.1137/080726768)

[17]	Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D D. Kay, R. Welford SIAM J. Sci. Comp. pages 2241—2257. 2007. Details \| BibTeX

[18]	Efficient preconditioning of the linearized Navier-Stokes equations H. Elman, D. Kay, D. J. Silvester, A. Wathen J. Comput. Appl. Math. pages 261—279. 2001. Details \| BibTeX

[19]	Finite Element Analysis of a Current Density - Electric Field Formulation of Bean's Model for Superconductivity C. M. Elliott, D. Kay and V. Styles IMA J. Num. Anal. Vol. 25, pages 182—204. 2005. Details \| BibTeX

[20]	Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity C. M. Elliott, D. Kay and V. Styles SIAM J. Num. Anal. Vol. 42, No. 3, pages 1324—1341. 2004. Details \| BibTeX

[21]	Finite element approximation of a Cahn-Hilliard-Navier-Stokes system D. Kay, V. Styles and R. Welford Interfaces and free Boundaries, Vol. 10, No. 1, pages 15—43. 2008. Details \| BibTeX

[22]	Mathematical Analysis of an integral equation arising from population dynamics D. A. Kay, M. Sagheer, Q. Tang Mathematical Biosciences, No. 10, pages 415—435. 2007. Details \| BibTeX

[23]	Modelling Fluid-Solid Mechanics in the Human Left Ventricle using Non-Conforming Monolithic Finite Elements D. Nordsletten, M. McCormick, P. Kilner, D. Kay, N. Smith Submitted for publication. Details \| BibTeX

[24]	The approximation theory for the p-version finite element method and application to non-linear elliptic PDE's M. Ainsworth, D. Kay Num. Math. Vol. 82, pages 351—388. 1999. Details \| BibTeX

[25]	The rate of convergence of the p-version finite element method for the non-linear Laplacian M. Ainsworth, D. Kay In Prague Mathematical Conference 1996 1996. Details \| BibTeX

[26]	The reliability of local error estimators for convetion-diffusion equations D. Kay, David Silvester IMA J. Num. Anal. Vol. 21, pages 107—122. 2001. Details \| BibTeX

[27]	Time-dependent annealing and deposition on substrates with repulsive interactions J. A. Venables et al. Phys. Rev. B, 2006. Details \| BibTeX \| DOI (075412)

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