3 papers
math.NA2022
A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems
Stefano Piani, Luca Heltai, Wenyu Lei
We present a Scharfetter-Gummel (SG) stabilization scheme for high-order Hybrid Discontinuous Galerkin (HDG) approximations of convection-diffusion problems. The scheme is based on…
math.NA2022
A weighted Hybridizable Discontinuous Galerkin method for drift-diffusion problems
Wenyu Lei, Stefano Piani, Patricio Farrell +2
In this work we propose a weighted hybridizable discontinuous Galerkin method (W-HDG) for drift-diffusion problems. By using specific exponential weights when computing the p…
math.NA2022
Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors
Stefano Piani, Patricio Farrell, Wenyu Lei +2
The non-destructive estimation of doping concentrations in semiconductor devices is of paramount importance for many applications ranging from crystal growth, the recent redefiniti…