Patricio Farrell
Research Associate
Weierstrass Institute Berlin
Weierstrass Institute Berlin
0000-0001-9969-6615
CV
- Visiting Professor, Hamburg University of Technolgy
- Research Associate, WIAS Berlin
- PhD, University of Oxford
- Diplom, University of Hamburg and University of Bath (six months)
Activities
- PI for the MATH+ project Understanding doping variations in silicon crystals
- ECMI special interest group Modeling, Simulation and Optimization in Electrical Engineering
- Coupling the atomistic with the continuous (with researchers from Tyndall Institute, Ireland)
- Analyzing pure spin currents in semiconductors (with researchers from Politecnico di Milano)
- ECMI, SIAM and SIAM CSE member
Research
My research areas lie in numerical analysis, scientific computing and modeling, in particular, with focus on finite volume methods, semiconductor problems and meshfree methods.Finite volume schemes
- Nonlinear advection-diffusion equations
- Complete flux and Scharfetter-Gummel schemes for nonlinear diffusion
- Physics preserving methods
Semiconductor simulation
- Multidimensional van Roosbroeck system for non-Boltzmann statistics
- Drift diffusion simulaton tool ddfermi
- Applications such as bent nanowires, perovskites, spintronics and quantum wells
Meshfree methods
- Globally and compactly supported radial basis functions
- Convergence and stability for multilevel methods
- Anisotropic surface mesh improvement