2 papers
math.NA2026
A variational framework for Bayesian inversion in moving boundary Darcy flow
Michael E. Causon, Marco A. Iglesias, Michael V. Tretyakov
We develop an infinite-dimensional Bayesian framework for recovering spatially varying log-permeability from pressure observations in single-phase Darcy flow with a moving boundary…
cs.LG2025
DeepONet-accelerated Bayesian inversion for moving boundary problems
Marco A. Iglesias, Michael. E. Causon, Mikhail Y. Matveev +2
This work demonstrates that neural operator learning provides a powerful and flexible framework for building fast, accurate emulators of moving boundary systems, enabling their int…