Premium
A fast time‐domain EM–TCAD coupled simulation framework via matrix exponential with stiffness reduction
Author(s) -
Chen Quan,
Schoenmaker Wim,
Weng ShihHung,
Cheng ChungKuan,
Chen GuanHua,
Jiang LiJun,
Wong Ngai
Publication year - 2016
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2109
Subject(s) - matrix exponential , multiphysics , krylov subspace , nonlinear system , jacobian matrix and determinant , reduction (mathematics) , exponential function , computer science , electronic engineering , control theory (sociology) , mathematics , algorithm , engineering , mathematical analysis , iterative method , finite element method , physics , differential equation , geometry , structural engineering , control (management) , quantum mechanics , artificial intelligence
Summary We present a fast time‐domain multiphysics simulation framework that combines full‐wave electromagnetism (EM) and carrier transport in semiconductor devices (technology computer‐aided design (TCAD)) for radio frequency (RF) and mixed‐signal modules. The proposed framework features a division of linear and nonlinear components in the EM–TCAD coupled system. The linear portion is extracted and handled independently with high efficiency by a matrix exponential approach assisted with Krylov subspace method. The nonlinear component is treated by ordinary Newton's method yet with a much sparser Jacobian matrix that leads to substantial speedup in solving the linear system of equations. More convenient error management and adaptive control are also available through the linear and nonlinear decoupling. Furthermore, a new form of system formulation is developed to further enhance the efficiency of the proposed framework by reducing the stiffness of EM–TCAD systems via special equation and variable transforms. Copyright © 2015 John Wiley & Sons, Ltd.