From Feynman-Kac formulae to numerical stochastic homogenization in electrical impedance tomography

DOI10.1214/15-AAP1168zbMath1353.60063arXiv1502.04353MaRDI QIDQ350706

Petteri Piiroinen, Martin Simon

Publication date: 9 December 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04353

zbMATH Keywords

Feynman-Kac formulastochastic homogenizationelectrical impedance tomographySkorokhod decompositionrandom conductivity fieldreflecting diffusion processstochastic boundary value problem

Mathematics Subject Classification ID

Monte Carlo methods (65C05) PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Applications of stochastic analysis (to PDEs, etc.) (60H30) Probabilistic potential theory (60J45) PDEs with randomness, stochastic partial differential equations (35R60) Local time and additive functionals (60J55) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Homogenization in optics and electromagnetic theory (78M40)

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