Enhanced Multilevel Monte Carlo Method Applied to FDTD for Probability Distribution Estimation
Multilevel Monte Carlo (MLMC) method, enhanced by a smoothing technique based on Kernel Density Estimation, is coupled with the Finite-Difference Time-Domain (FDTD) algorithm in order to estimate the probability distribution of any quantity of interest, for uncertainty quantification in electromagne...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2023-10, Vol.71 (10), p.1-1 |
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| container_title | IEEE transactions on antennas and propagation |
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| creator | Zhu, Xiaojie Di Rienzo, Luca Ma, Xikui Codecasa, Lorenzo |
| description | Multilevel Monte Carlo (MLMC) method, enhanced by a smoothing technique based on Kernel Density Estimation, is coupled with the Finite-Difference Time-Domain (FDTD) algorithm in order to estimate the probability distribution of any quantity of interest, for uncertainty quantification in electromagnetic problems. It is shown that such enhanced MLMC-FDTD is faster than conventional Monte Carlo FDTD while inheriting its advantages of robustness, simplicity and generality, unlike other uncertainty analysis methods, such as the perturbation and the moment methods that cannot be used to straightforwardly estimate probability distribution, or the polynomial chaos method that suffers from the curse of dimensionality problem or even fails. |
| doi_str_mv | 10.1109/TAP.2023.3291740 |
| format | Article |
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| subjects | Algorithms Convergence Finite difference methods Finite difference time domain method kernel density estimation Maximum likelihood estimation Monte Carlo methods Monte Carlo simulation multilevel Monte Carlo method Perturbation Polynomials Probability distribution Time-domain analysis Uncertainty Uncertainty analysis |
| title | Enhanced Multilevel Monte Carlo Method Applied to FDTD for Probability Distribution Estimation |
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