The Mathematical Institute, University of Oxford, Eprints Archive

Application of hpDGFEM to mechanisms at channel microband electrodes

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Application of hpDGFEM to mechanisms at channel microband electrodes. Technical Report. Unspecified. (Submitted)



We extend our earlier work (Harriman et al., Oxford University Computing Laboratory Technical Report NA04/19) on hp-DGFEM for disc electrodes to the case of reaction mechanisms to the increasingly popular channel microband electrode configuration. We present results for the simple E reaction mechanism (convection-diffusion equation), for the ECE and EC2E reaction mechanisms (linear and nonlinear systems of reaction-convection- diffusion equations, respectively) and for the DISP1 and DISP2 reaction mechanisms (linear and nonlinear coupled systems of reaction-convection-diffusion equations, respectively). In all cases we demonstrate excellent agreement with previous results using relatively coarse meshes and without the need for streamline-diffusion stabilisation, even at high flow rates.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1170
Deposited By: Lotti Ekert
Deposited On:14 May 2011 07:44
Last Modified:29 May 2015 18:51

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