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David Kay: Publications
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[1]
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Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations
David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester
Submitted for Publication.
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[2]
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Discontinuous Galerkin finite element approximation of the Cahn—Hilliard equation with convection
David Kay, Vanessa Styles, Endre Suli
Submitted for Publication.
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[3]
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A Preconditioner for the Finite Element Approximation to the ALE Navier-Stokes Equations
David Nordsletten, Nic Smith, David Kay
Submitted for Publication.
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[4]
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Colour image sementation by the vector-valued Allen-Cahn phase-field model: a multigrid solution
D. Kay, A. Tomassi
Submitted for Publication.
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[5]
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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.
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[6]
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Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D
D. Kay, R. Welford
SIAM J. Sci. Comp. pages 2241—2257. 2007.
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[7]
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Time-dependent annealing and deposition on substrates with repulsive interactions
J. A. Venables et al.
Phys. Rev. B, 2006.
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DOI (075412)
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[8]
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A Multigrid Finite Element Solver for the Cahn-Hilliard Equation
D. Kay, R. Welford
J. Comp. Phys. Vol. 212, pages 288-304. 2006.
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[9]
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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.
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[10]
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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.
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[11]
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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.
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[12]
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A preconditioner for the 3D Oseen equations
H. Elman, D. Kay, D. Loghin, D. J. Silvester, A. J. Wathen
No. 4, Technical Report, 2002.
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[13]
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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.
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[14]
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The reliability of local error estimators for convetion-diffusion equations
D. Kay, David Silvester
IMA J. Num. Anal. Vol. 21, pages 107—122. 2001.
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[15]
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A new preconditioner for the Oseen equations
2001.
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[16]
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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.
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[17]
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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. 2, pages 576—585. 2000.
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[18]
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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.
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[19]
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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 1999.
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[20]
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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.
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[21]
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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.
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