2010/05/04 by Naoufel Ben Abdallah, Abdallah, Naoufel Ben, A Faraj +1
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Gyrotron and Vacuum Electronics Research #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1005.0444
openalex publication_date 2010/05/04 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28
The simulation of the time-dependent evolution of the resonant tunneling\ndiode is done by a multiscale algorithm exploiting the existence of resonant\nstates. After revisiting and improving the algorithm developed in [N. Ben\nAbdallah, O. Pinaud, J. Comp. Phys. 213 (2006) 288-310] for the stationary\ncase, the time-dependent problem is dealt with. The wave function is decomposed\ninto a non resonant part and a resonant one. The projection method to compute\nthe resonant part leads to an accurate algorithm thanks to a suitable\ninterpolation of the non resonant one. The simulation times are largely\nreduced.\n