학술논문

Start Value Estimation Using Gaussian Process Regression for Transient Nonlinear Electro-Quasistatic Field Simulations
Document Type
Periodical
Source
IEEE Transactions on Magnetics IEEE Trans. Magn. Magnetics, IEEE Transactions on. 56(1):1-4 Jan, 2020
Subject
Fields, Waves and Electromagnetics
Ground penetrating radar
Mathematical model
Electric potential
Kernel
Transient analysis
Estimation
Gaussian processes
Electro-quasi-static (EQS)
Gaussian process regression (GPR)
start value estimation
transient analysis
Language
ISSN
0018-9464
1941-0069
Abstract
For high-dimensional transient electro-quasi-static field simulations, large sparse nonlinear algebraic systems of equations need to be solved iteratively at each time step using a solver, such as a preconditioned conjugate gradient (PCG) method. If an improved start value is available, the solver can converge faster, and thus, the simulation time can be reduced. In this article, Gaussian process regression (GPR) is used in order to predict start values for next time steps using data that are collected from previous time steps. Numerical results show that GPR can efficiently predict solutions with good accuracy.