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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…
math.NA2019★ 13 cited
Error estimates in weighted Sobolev norms for finite element immersed interface methods
Luca Heltai, Nella Rotundo
When solving elliptic partial differential equations in a region containing immersed interfaces (possibly evolving in time), it is often desirable to approximate the problem using…