13 research outputs found
XRF map identification problems based on a PDE electrodeposition model
In this paper we focus on the following map identification problem (MIP): given a
morphochemical reactionâdiffusion (RD) PDE system modeling an electrodepostion process,
we look for a time t*, belonging to the transient dynamics and a set of parameters p, such
that the PDE solution, for the morphology h(x, y, t^*; p) and for the chemistry \theta(x, y, t^*; p)
approximates a given experimental map M*. Towards this aim, we introduce a numerical
algorithm using singular value decomposition (SVD) and Frobenius norm to give a measure of
error distance between experimental maps for h and Ξ and simulated solutions of the RD-PDE
system on a fixed time integration interval. The technique proposed allows quantitative use of
microspectroscopy images, such as XRF maps. Specifically, in this work we have modelled the
morphology and manganese distributions of nanostructured components of innovative batteries
and we have followed their changes resulting from ageing under operating conditions. The
availability of quantitative information on space-time evolution of active materials in terms
of model parameters will allow dramatic improvements in knowledge-based optimization of
battery fabrication and operation
Pattern selection and localized structures in reaction-diffusion systems
SCOPUS: ar.jinfo:eu-repo/semantics/publishe