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• W4313561036 endingPage "111862" @default.
• W4313561036 startingPage "111862" @default.
• W4313561036 abstract "A path integral Monte Carlo method (PIMC) based on a Feynman-Kac formula for the Laplace equation with mixed boundary conditions is proposed to solve the forward problem of the electrical impedance tomography (EIT). The forward problem is an important part of iterative algorithms of the inverse EIT problem, and the proposed PIMC provides a local solution to find the potentials and currents on individual electrodes. Improved techniques are proposed to compute with better accuracy both the local time of reflecting Brownian motions (RBMs) and the Feynman-Kac formula for mixed boundary problems of the Laplace equation. Accurate voltage-to-current maps on the electrodes of a model 3-D EIT problem with eight electrodes are obtained by solving a mixed boundary problem with the proposed PIMC method." @default.
• W4313561036 created "2023-01-06" @default.
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• W4313561036 date "2023-03-01" @default.
• W4313561036 modified "2023-10-17" @default.
• W4313561036 title "A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography" @default.
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• W4313561036 doi "https://doi.org/10.1016/j.jcp.2022.111862" @default.
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