Mini course: Numerical
Methods for Semiconductor Device Simulation (19-21 May 2008)
Course leader: Prof. W.H.A. (Wil) Schilders (University of Eindhoven, Philips
Research)
Schedule and topics:
- 19 May 2008 (Monday) -
building C13, room 4.02, 3 pm – 5 pm
Introduction
to semiconductor devices, and derivation of the
drift-diffusion model
- 20 May 2008 (Tuesday) -
building C7, room 3.03, 9 am – 11 am
Mathematical
analysis of the model (existence, singularly perturbed,
asymptotic expansions, fixed point theorem, scaling)
- 20 May 2008 (Tuesday) -
building D20, room 1.06, 1 pm – 3 pm
Meshing
and Delaunay triangulation
- 21 May 2008 (Wednesday) -
building C11, room 5.05, 9 pm – 11pm
Discretisation
techniques, most importantly the finite volume method,
properties of M-matrices, maximum principle, positivity,
special methods for singularly perturbed problems
(exponential fitting, harmonic averaging method)
- 21 May 2008 (Wednesday) -
building C11, room 5.05, 1 pm – 3 pm
Nonlinear
solution techniques, Newton's method, damping, nonlinear
variable transformation, nonlinear block Gauss-Seidel
method, vector extrapolation