An efficient parallel solution to the Wigner-Poisson equations

Authors:
A. S. Costolanski;C. T. Kelley;G. W. Howell;A. G. Salinger
Affiliations:
North Carolina State University, Raleigh, NC;North Carolina State University, Raleigh, NC;North Carolina State University, Raleigh, NC;Sandia National Laboratories, Albuquerque, NM
Venue:
Proceedings of the High Performance Computing Symposium
Year:
2013

Citing 6
Cited 0

A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System

SIAM Journal on Numerical Analysis
Quantum-corrected drift-diffusion models for transport in semiconductor devices

Journal of Computational Physics
An overview of the Trilinos project

ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Parallel parameter study of the Wigner-Poisson equations for RTDs

Computers & Mathematics with Applications
AMESOS: a set of general interfaces to sparse direct solver libraries

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Efficient Solution of the Wigner–Poisson Equations for Modeling Resonant Tunneling Diodes

IEEE Transactions on Nanotechnology

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new model for studying the behavior of nanoscale tunneling devices has been developed in C++ using the Wigner-Poisson formulation. This model incorporates the parallel solvers of Sandia National Lab's Trilinos software with the efficient use of parallel data structures to create a code that scales well to a high number of processors. It also incorporates non-uniform meshes to discretize the solution space and higher order numerical methods to reduce simulation run times and increase numerical accuracy. The improvements inherent in the new C++ model will improve the quality of numerical simulations, and allow longer and more complex nanoscale devices to be modeled.