The Mathematical Institute, University of Oxford, Eprints Archive

Finite element solution of a membrane covered electrode problem

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Finite element solution of a membrane covered electrode problem. Technical Report. Unspecified. (Submitted)

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Abstract

Membrane covered oxygen sensors, or Clark electrodes, are used for monitoring the concentration of oxygen in blood. The operation of such sensors is governed by the diffusion equation with different diffusion coefficients in different sub-domains. The form of the boundary conditions and the material interface conditions means that the derivative of the solution has discontinuities which restrict the convergence of standard numerical methods on regular meshes. We describe and computationally compare adaptive finite element methods based on continuous and discontinuous basis functions to overcome this problem.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1168
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:44
Last Modified:14 May 2011 08:44

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