Computation of currents at microelectrodes using hp-DGFEM

Journal article

We describe how a discontinuous Galerkin finite element method with interior penalty can be used to compute the current flowing at a microdisc electrode for the steady-state E and EC′ reaction mechanisms and at a channel microband electrode for the steady-state E, ECE, EC2E, DISP1 and DISP2 reaction mechanisms. We then state an a posteriori error bound for the computed current and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorithm to deliver the current to within a prescribed error tolerance. For all problems we demonstrate excellent agreement with previous results using comparatively coarse meshes. © 2005 Elsevier B.V. All rights reserved.

Authors: Gillow, K; Gavaghan, D; Suli, E

• Publication status: Published
• Journal: JOURNAL OF ELECTROANALYTICAL CHEMISTRY
• Volume: 587
• Issue: 1
• Pages: 1-17
• Publication date: 2006-02-01
• DOI: 10.1016/j.jelechem.2005.09.028
• ISSN: 0022-0728
• Language: English
• Keywords: discontinuous Galerkin finite element method; adaptivity; channel microband electrode; microdisc electrode; reaction mechanisms