Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy.: An E reaction at a channel microband electrode

被引:16
作者
Harriman, K
Gavaghan, DJ
Houston, P
Süli, E
机构
[1] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
[2] Radcliffe Infirm, Nuffield Dept Anaesthet, Oxford OX2 6HE, England
[3] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England
基金
英国医学研究理事会; 英国工程与自然科学研究理事会;
关键词
channel microband electrodes; E reaction mechanism; adaptive finite element method; simulation; low and high flow rates;
D O I
10.1016/S1388-2481(00)00074-6
中图分类号
O646 [电化学、电解、磁化学];
学科分类号
081704 ;
摘要
We extend our earlier work (K. Harriman et al., Electrochem. Commun. 2 (2000) 150) on adaptive finite element methods for disc electrodes to the case of an E reaction mechanism to the increasingly popular channel microband electrode configuration. We use the standard Galerkin finite element method for the diffusion-dominated (low-flow) case, and the streamline diffusion finite element method for the convection-dominated (high-flow) case. We demonstrate excellent agreement with previous approximate analytical results across the range of parameters of interest, on comparatively coarse meshes. (C) 2000 Elsevier Science S.A. All rights reserved.
引用
收藏
页码:567 / 575
页数:9
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