@article{adaptive time navier stokes, author = "David A. Kay, Philip M. Gresho, David F. Griffiths and David J. Silvester", journal = "SIAM J. Sci. Comp.", title = "Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations", year = "To Appear", } @article{nordsmithkay1, author = "David Nordsletten, Nic Smith and David Kay", journal = "SIAM J. Sci. Comp.", title = "A Preconditioner for the Finite Element Approximation to the ALE Navier-Stokes Equations", year = "To Appear", } Warning - the bibtex entry below may be invalid: Missing 'journal' field @article{NordsMcCorm1, author = "D. Nordsletten, M. McCormick, P. Kilner, D. Kay and N. Smith", title = "Modelling Fluid-Solid Mechanics in the Human Left Ventricle using Non-Conforming Monolithic Finite Elements", year = "Submitted for publication", } Warning - the bibtex entry below may be invalid: Missing 'journal' field @article{bakermainivaughan1, author = "B. L. Vaughan, Jr, R. E. Baker, D. A. Kay, P. K. Maini", title = "Analysis of a 1-D caricature model of morphogenesis with an identically zero eigenvalue", year = "Submitted for Publication", } Warning - the bibtex entry below may be invalid: Missing 'journal' field @article{nordsletteneta_2_2009, author = "D. Nordsletten, D. Kay and N. Smith", title = "A Non-conforming Monolithic Finite Element Method for Problems of coupled mechanics", year = "Submitted for Publication", } Warning - the bibtex entry below may be invalid: Missing 'journal' field @article{nordslettenetal1, author = "D. A. Nordsletten, N. P. Smith and D. A. Kay", title = "A non-conforming monolithic finite element method for problems of coupled mechanics: Linear Analysis", year = "Submitted for Publication", } @article{Leeetal2009, author = "Jack Lee , Steven Niederer, David Nordsletten, David Kay and Nicolas Smith", journal = "Phil. Trans. R. Soc. A", pages = "2311--2331", title = "Coupling Contraction, Excitation, Ventricular and Coronary Blood Flow across scale and physics in the Heart", volume = "367", year = "2009", } @article{kaystylessuli, author = "David Kay, Vanessa Styles and Endre Suli", doi = "10.1137/080726768", journal = "SIAM J. Num Anal.", pages = "2660--2685", title = "Discontinuous Galerkin finite element approximation of the Cahn--Hilliard equation with convection", volume = "47", year = "2009", } @article{kaytom, author = "D. Kay and A. Tomasi", journal = "IEEE Trans. Image Proc.", number = "10", title = "Colour image sementation by the vector-valued Allen-Cahn phase-field model: a multigrid solution", volume = "18", year = "2009", } @article{kaystyleswelford2007, abstract = "We consider a semi-discrete and a practical fully-discrete finite element approximation of a Cahn - Hilliard - Navier - Stokes system. This system arises in the modelling of multiphase fluid systems. We show order $h$ error estimate between the solution of the system and the solution of the semi-discrete approximation. We also show the convergence of the fully discrete approximation. Finally, we present an efficient implementation of the fully discrete scheme together with some numerical simulations.", author = "D. Kay and V. Styles and R. Welford", journal = "Interfaces and free Boundaries", number = "1", pages = "15--43", title = "Finite element approximation of a Cahn-Hilliard-Navier-Stokes system", volume = "10", year = "2008", } @article{kaysagtang, author = "D. A. Kay, M. Sagheer and Q. Tang", journal = "Mathematical Biosciences", number = "10", pages = "415--435", title = "Mathematical Analysis of an integral equation arising from population dynamics", year = "2007", } @article{kaywelford2007, author = "D. Kay and R. Welford", journal = "SIAM J. Sci. Comp. ", pages = "2241--2257", title = "Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D", year = "2007", } @article{kayven, author = "J. A. Venables and J. DeGraffenreid and D. Kay and P. Yang", doi = "075412", journal = "Phys. Rev. B", title = "Time-dependent annealing and deposition on substrates with repulsive interactions", year = "2006", } @article{kaywelford2006, author = "D. Kay and R. Welford", journal = "J. Comp. Phys.", pages = "288-304", title = "A Multigrid Finite Element Solver for the Cahn-Hilliard Equation", volume = "212", year = "2006", } @article{kaylungu, author = "D. Kay and E. Lungu", journal = "SIAM J. Sci. Comp. ", pages = "1867--1880", title = "A block preconditioner for high order mixed finite element approximations to the Navier-Stokes equations", year = "2006", } @article{elliottkaystyles2005, author = "C. M. Elliott and D. Kay and V. Styles", journal = "IMA J. Num. Anal.", pages = "182--204", title = "Finite Element Analysis of a Current Density - Electric Field Formulation of Bean's Model for Superconductivity", volume = "25", year = "2005", } @article{elliottkaystyles2004, author = "C. M. Elliott and D. Kay and V. Styles", journal = "SIAM J. Num. Anal.", number = "3", pages = "1324--1341", title = "Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity", volume = "42", year = "2004", } Warning - the bibtex entry below may be invalid: Missing 'institution' field @techreport{elmanetal2002, author = "H. Elman, D. Kay, D. Loghin, D. J. Silvester and A. J. Wathen", journal = "Oxford Numerical Analysis Group", number = "4", title = "A preconditioner for the 3D Oseen equations", volume = "NA-02", year = "2002", } @article{kayloghinwathen2002, author = "D. Kay and D. Loghin and A. J. Wathen", journal = "SIAM J. Sci. Comput.", pages = "237--256", title = "A Preconditioner for the Steady-State Navier-Stokes Equations", volume = "24", year = "2002", } @article{kaysilvester2001, author = "D. Kay and David Silvester", journal = "IMA J. Num. Anal.", pages = "107--122", title = "The reliability of local error estimators for convetion-diffusion equations", volume = "21", year = "2001", } @proceedings{wathenetal2001, author = "A. J. Wathen and D. Loghin and D. Kay and H. C. Elman and D. J. Silvester", journal = "Proceeding of the European Conference on Numerical Mathematics and Advanced Applications", title = "A new preconditioner for the Oseen equations", year = "2001", } @article{elmanetal2000, author = "H. Elman, D. Kay, D. J. Silvester and A. Wathen", journal = "J. Comput. Appl. Math.", pages = "261--279", title = "Efficient preconditioning of the linearized Navier-Stokes equations", year = "2001", } @article{harrimanetal2000, author = "K. Harriman, D. J. Gavaghan, P. Houston, D. Kay and E. Suli", journal = "Electrochemistry Comm.", pages = "576--585", title = "Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and E C_2 E mechanisms at channel microband electrodes", volume = "2", year = "2000", } @article{ainsworthkay2000, author = "M. Ainsworth and D. Kay", journal = "Appl. Num. Math.", pages = "329--344", title = "Approximation theory for the hp-version finite element method and application to the non-linear Laplacian", volume = "34", year = "2000", } @article{kaysilvester1999, author = "D. Kay and D. J. Silvester", journal = "SIAM J. Sci. Comput.", number = "4", pages = "1321--1336", title = "A posteriori error estimation for stabilized mixed approximations of the Stokes equations", volume = "21", year = "1999", } @article{ainsworthkay1999, author = "M. Ainsworth and D. Kay", journal = "Num. Math.", pages = "351--388", title = "The approximation theory for the p-version finite element method and application to non-linear elliptic PDE's", volume = "82", year = "1999", } @inproceedings{ainskay1, author = "M. Ainsworth and D. Kay", booktitle = "Prague Mathematical Conference 1996", title = "The rate of convergence of the p-version finite element method for the non-linear Laplacian", year = "1996", }