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- W3211998081 abstract "We present new Monte Carlo algorithms for extracting mutual capacitances for a system of conductors embedded in inhomogeneous isotropic dielectrics. We represent capacitances as functionals of the solution of the external Dirichlet problem for the Laplace equation. Unbiased and low-biased estimators for the capacitances are constructed on the trajectories of the Random Walk on Spheres or the Random Walk on Hemispheres. The calculation results show that the accuracy of these new algorithms does not exceed the statistical error of estimators, which is easily determined in the course of calculations. The algorithms are based on mean value formulas for harmonic functions in different domains and do not involve a transition to a difference problem. Hence, they do not need a lot of storage space." @default.
- W3211998081 created "2021-11-22" @default.
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- W3211998081 date "2021-11-17" @default.
- W3211998081 modified "2023-10-02" @default.
- W3211998081 title "Monte Carlo Algorithms for the Extracting of Electrical Capacitance" @default.
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- W3211998081 doi "https://doi.org/10.3390/math9222922" @default.
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