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Free, publicly-accessible full text available May 14, 2026
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Free, publicly-accessible full text available January 1, 2026
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In this work, we present a numerical method that provides accurate real-time detection for the widthsof the fractures in a fractured porous medium based on observational data on porous medium fluidmass and velocity. To achieve this task, an inverse problem is formulated by first constructing aforward formulation based on the reduced fracture model of the diffusion equation. A parameter estimationproblem is then performed online by utilizing a direct filter method. Numerical experimentsare carried out to demonstrate the accuracy of our method in approximating the target parameters.more » « lessFree, publicly-accessible full text available January 1, 2026
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Free, publicly-accessible full text available November 17, 2025
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Free, publicly-accessible full text available November 17, 2025
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This paper presents convergence analysis of a novel data-driven feedback control algorithm designed for generating online controls based on partial noisy observational data. The algorithm comprises a particle filter-enabled state estimation component, estimating the controlled system’s state via indirect observations, alongside an efficient stochastic maximum principle-type optimal control solver. By integrating weak convergence techniques for the particle filter with convergence analysis for the stochastic maximum principle control solver, we derive a weak convergence result for the optimization procedure in search of optimal data-driven feedback control. Numerical experiments are performed to validate the theoretical findings.more » « less
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