13 citations · 13 across the 6 of their papers we have counts for
6 papers
Well-posedness and stability for a thermoelectromagnetic system
Francesca Bucci, Matthias Eller, Nella Rotundo
In this article we consider a system of coupled partial differential equations that mirrors the interconnection between the evolution of an electromagnetic field -- described by th…
Regularity of solutions of the Navier-Stokes-αβ equations with wall-eddy boundary conditions
Nella Rotundo, Gantumur Tsogtgerel
We establish global well-posedness and regularity for the Navier-Stokes-αβ system endowed with the wall-eddy boundary conditions proposed by Fried and Gurtin (2008). These conditio…
Forward lateral photovoltage scanning problem: Perturbation approach and existence-uniqueness analysis
Giuseppe Alì, Patricio Farrell, Nella Rotundo
In this paper, we present analytical results for the so-called forward lateral photovoltage scanning (LPS) problem. The (inverse) LPS model predicts doping variations in crystal by…
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…
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…
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…