Add to ORKGWe extend our earlier work (see K. Harriman et al., Technical Report NA99/19) on adaptive finite element methods for disc electrodes to the case of reaction mechanisms 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 first consider the simple E reaction mechanism (convection-diffusion equation) and we demonstrate excellent agreement with previous approximate analytical results across the range of parameters of interest, on comparatively coarse meshes. We then consider ECE and EC2E reaction mechanisms (linear and nonlinear sys...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
Various microband electrode problems are simulated using finite difference methods. These are (i) th...
A new simulation algorithm is presented for describing the dynamics of diffusion reactions at the mo...
We extend our earlier work (see K. Harriman et al., Technical Report NA99/19) on adaptive finite ele...
We extend the work in the accompanying paper (K. Harriman et al., Electrochem. Commun. 2 (2000) 567)...
We consider the general problem of numerical simulation of the currents at microelectrodes using an ...
In this paper we extend the work in [Electrochem. Commun. 5 (2003) 519] to more complex reaction mec...
The amperometric response of electrodes generally cannot be predicted without taking into account ma...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
In this series of papers we consider the general problem of numerical simulation of the currents at ...
In this paper we extend the work in [Electrochem. Commun. 5 (2003) 519] to more complex reaction mec...
In this article, we review some of our previous work that considers the general problem of numerical...
In this article, we review some of our previous work that considers the general problem of numerical...
In a series of papers, Harriman et al. [1, 2, 3, 4 and 5] have presented a reliable means of simulat...
In this paper we shall introduce a transient finite element algorithm by considering the simplest pr...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
Various microband electrode problems are simulated using finite difference methods. These are (i) th...
A new simulation algorithm is presented for describing the dynamics of diffusion reactions at the mo...
We extend our earlier work (see K. Harriman et al., Technical Report NA99/19) on adaptive finite ele...
We extend the work in the accompanying paper (K. Harriman et al., Electrochem. Commun. 2 (2000) 567)...
We consider the general problem of numerical simulation of the currents at microelectrodes using an ...
In this paper we extend the work in [Electrochem. Commun. 5 (2003) 519] to more complex reaction mec...
The amperometric response of electrodes generally cannot be predicted without taking into account ma...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
In this series of papers we consider the general problem of numerical simulation of the currents at ...
In this paper we extend the work in [Electrochem. Commun. 5 (2003) 519] to more complex reaction mec...
In this article, we review some of our previous work that considers the general problem of numerical...
In this article, we review some of our previous work that considers the general problem of numerical...
In a series of papers, Harriman et al. [1, 2, 3, 4 and 5] have presented a reliable means of simulat...
In this paper we shall introduce a transient finite element algorithm by considering the simplest pr...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
Various microband electrode problems are simulated using finite difference methods. These are (i) th...
A new simulation algorithm is presented for describing the dynamics of diffusion reactions at the mo...