Kathryn Gillow
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Dr
Kathryn
Gillow
Wolfson Building, Parks Road, Oxford OX1 3QD |
Interests
Electrochemical sensors have a wide range of applications in a variety of fields including clinical medicine, environmental monitoring and pollution monitoring. Mathematical modelling of such sensors is used to test new designs and modes of operation by simulation rather than the traditional yet costly "build and test" approach. The governing equations model mass transfer and chemical reactions and hence these equations are typically (systems of) reaction-convection-diffusion equations.In many experiments the quantity of interest is the current flowing at the surface of the working electrode in an electrochemical cell; mathematically this is a linear functional of the solution of the governing equation. The difficulty when solving such problems numerically is that the solutions exhibit boundary singularities (i.e. there are points on the boundary at which the normal derivative of the solution is discontinuous) and this means that on regular meshes the solution converges much more slowly than the optimal rate for smooth problems; thus the accurate estimation of currents on regular meshes is very expensive. The aim of this research is the efficient and accurate estimation of the current using adaptive finite elements methods based on a posteriori error bounds.
Biography
I am currently a departmental lecturer in the Numerical Analysis Group based in the Computing Laboratory at Oxford University. I spend half of my time doing research and the remainder of my time is spent as the course organiser for the M.Sc. in Mathematical Modelling and Scientific Computing. From October 2001 to September 2005 I was a Postdoctoral Research Assistant, again in the Numerical Analysis Group. My research was concerned with adaptive finite element methods for problems in electrochemistry. During the year 2000/2001 I was a departmental lecturer in the Computing Laboratory. I finished my D.Phil. in Numerical Analysis in 2000. I have been in Oxford since 1993 when I started my undergraduate degree at St. Anne's College. I finished this in 1996 then stayed to do an M.Sc. in Mathematical Modelling and Numerical Analysis (now the M.Sc. in Mathematical Modelling and Scientific Computing). I moved to Wadham College in 1998 and I had a lectureship there until September 2000.Links
Personal webpage, including publications and details of research
Selected Publications
| Theoretical and experimental investigation of surface−confined two−center metalloproteins by large−amplitude fourier transformed ac voltammetry Chong−Yong Lee‚ Gareth P. Stevenson‚ Alison Parkin‚ Maxie M. Roessler‚ Ruth E. Baker‚ Kathryn Gillow‚ David J. Gavaghan‚ Fraser A. Armstrong and Alan M. Bond In Journal of Electroanalytical Chemistry. 2010. |
| Designer based Fourier transformed voltammetry: A multi−frequency‚ variable amplitude‚ sinusoidal waveform YJ Tan‚ GP Stevenson‚ RE Baker‚ D Elton‚ K Gillow‚ J Zhang‚ AM Bond and DJ Gavaghan In Journal of Electroanalytical Chemistry. Vol. 634. No. 1. Pages 11−21. 2009. |
| Adaptive Finite Element Methods in Electrochemistry D.J. Gavaghan‚ K. Gillow and E. Süli In Langmuir. Vol. 22. No. 25. Pages 10666–10682. 2006. |
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