TY - GEN
T1 - Adaptive wavelet stochastic collocation for resonant transmission line circuits
AU - Yang, Alan S.
AU - Chen, Xu
AU - Schutt-Aine, Jose E.
AU - Cangellaris, Andreas C.
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/7/2
Y1 - 2017/7/2
N2 - An adaptive wavelet stochastic collocation method for uncertainty quantification is applied to a resonant circuit with stochastic parameters. The outputs of many electrical systems vary rapidly with respect to internal random parameters, for example due to resonance conditions. Accurate and efficient characterization of output statistics is key in designing systems with irregularities, but poses a challenge for conventional sampling-based stochastic collocation methods. The adaptive method in this paper constructs a hierarchical sparse grid approximation using wavelet basis functions. Since wavelet expansion coefficients are rigorous error estimators, wavelet sparse grids can potentially meet error tolerances with optimal efficiency and outperform local polynomial and other adaptive finite-element methods. The advantages and efficiency of this method is explored in the context of the circuit problem presented.
AB - An adaptive wavelet stochastic collocation method for uncertainty quantification is applied to a resonant circuit with stochastic parameters. The outputs of many electrical systems vary rapidly with respect to internal random parameters, for example due to resonance conditions. Accurate and efficient characterization of output statistics is key in designing systems with irregularities, but poses a challenge for conventional sampling-based stochastic collocation methods. The adaptive method in this paper constructs a hierarchical sparse grid approximation using wavelet basis functions. Since wavelet expansion coefficients are rigorous error estimators, wavelet sparse grids can potentially meet error tolerances with optimal efficiency and outperform local polynomial and other adaptive finite-element methods. The advantages and efficiency of this method is explored in the context of the circuit problem presented.
KW - Electromagnetics (EM) and EM Interference modeling
KW - simulation algorithms
KW - tools and flows
UR - http://www.scopus.com/inward/record.url?scp=85049755598&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85049755598&partnerID=8YFLogxK
U2 - 10.1109/EPEPS.2017.8329729
DO - 10.1109/EPEPS.2017.8329729
M3 - Conference contribution
AN - SCOPUS:85049755598
T3 - 2017 IEEE 26th Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2017
SP - 1
EP - 3
BT - 2017 IEEE 26th Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 26th IEEE Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2017
Y2 - 15 October 2017 through 18 October 2017
ER -