Finite element solution of a membrane covered electrode problem

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...

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Bibliographic Details
Published in:Journal of electroanalytical chemistry (Lausanne, Switzerland) Switzerland), 2006-02, Vol.587 (1), p.18-24
Main Authors: Gillow, Kathryn, Gavaghan, David J., Süli, Endre
Format: Article
Language:English
Subjects:
Chemistry
Discontinuous Galerkin methods
Electrochemistry
Exact sciences and technology
Finite element methods
General and physical chemistry
Linear functionals
Membrane covered electrode
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Summary: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.
ISSN:1572-6657
1873-2569
DOI:10.1016/j.jelechem.2005.09.029