Speaker
Tor Sørevik
(Dept. of Math., University of Bergen, NORWAY)
Description
In this talk we will describe the drift-diffusion model for
the electricity generation of a solar cell. We arrive at a set of non-linear partial differential
equations for the flow of electrons. For a fixed solar irradiation
the steady state for the flux of electron will the determine
the electricity production.
We solve the pde's numerically using a simple finite difference discretization.
The boundary conditions need some special care as these are not fixed Dirichlet
conditions, but are themselves functions of the unknown.
The system of non-linear equations is then solved by iteration. We show that
fixpoint iteration as well as Newton Raphson iteration converge to the
physical interesting solution.
Primary author
Tor Sørevik
(Dept. of Math., University of Bergen, NORWAY)
Co-author
Daniel Engelsen
(Dept. of Math. , University of Bergen, NORWAY)
